From inflation to the CMB to today s universe. I - How it all begins
|
|
- Moris Blankenship
- 5 years ago
- Views:
Transcription
1 From inflation to the CMB to today s universe I - How it all begins Raul Abramo Physics Institute - University of São Paulo abramo@fma.if.usp.br
2 redshift Very brief cosmic history s BBN 1 MeV yrs 1 ev Decoupling (surf. last scattering) 0 15Gy time energy
3 Some crucial observations to understand our Universe: Cosmic microwave background (COBE, WMAP, Boomerang, Dasi, QUAD,... PLANCK...) Matter distribution over large scales Matter Spectrum
4 History of cosmic domination: today radiation matter: z~10 4 Dark Energy z 1089: decoupling (recombination)
5 Some numbers I will often use... 1 pc = 3,26 l.yr. 1 Mpc = 3,1 x cm Age of the Universe today: T 0 = (14 ± 0.5) Gy Density: ρ 0 = (1.9 ± 0.15) h 2 x g cm -3 Hubble parameter: H 0 = 100 h Km s -1 Mpc -1 h = 0.72 ± 0.05 Baryon fraction: Ω b h 2 = (ρ b / ρ tot ) h 2 = ± Radiation (photons and massless neutrinos): Ω r = 2.5 x 10-5 h -2 Matter (dark matter + baryons) Ω m = use to compute, e.g., matter-radiation equality:
6 The physics of the CMB involves propagation and scattering of photons The CMB is also the most distant direct observation we have of the universe in its infancy, hence it is a key observable to test correlations and causality over the largest observable scales of the Universe So, let s review some of the basic facts about the propagation of light and, therefore, of causality in a Friedmann-Robertson-Walker spacetime Light propagates over null geodesics. For a radial light ray:
7 In an FRW spacetime, proper distances for light-speed signals can be finite even when the travel time extends arbitrarily into the past or into the future. For instance, let s take a decelerating FRW: a t This spacetime can be continued to the past only down to t=0 (when a=0). Then: d Hp is the maximum physical distance a light ray can cover if it was emmitted at some arbitrary time in the past. This means that the past light cone in this scenario is bounded, and cannot be extended beyond that limit. t d
8 This maximal distance is called a horizon. Since in this case (p<1) the horizon refers to a truncation of the PLC, it is a past-like horizon, a.k.a. a particle horizon. This horizon is usually approximately equal to the curvature radius of the FRW, r ~ 1/ R -1/2 ~ H -1 - i.e., the Hubble radius! The particle horizon separates observers which never had causal contact prior to the time t. Therefore, when there is a particle horizon, the Universe can be separated into regions which are (up to that time) causally disconnected Since the Universe has been, for most of its history, dominated by either radiation (p=1/2) or matter (p~2/3), if that were true down to t=0 then our particle horizon today would be:??? How can the CMB be so homogeneous over the whole sky??? Ex: compute the particle horizon at the time of decoupling (t~ y, z~1100), assuming that p=1/2. A: ~200 Kpc.
9 Now take an accelerating scale factor: a t We still have some initial time t=0, however: is an arbitrarily large distance as we take the lower limit ti 0, and hence there is no particle horizon in this case. But consider, instead, what happens if the upper limit is take to be tf, and take the lower limit to be t. This distance would then correspond to the maximal length that separates two objects such that they could exchange a light-speed signal emmitted at time t. If that maximal distance is not infinity, then there an event horizon:
10 The physical significance of a horizon is profound, as it clearly marks causality boundaries: A particle horizon sets a limit to the past light-cone of observers at time t: pairs of observers separated by a distance larger than dph at time t have never been in causal contact before t. An event horizon sets a limit to the future light-cone of observers at time t: pairs of observers separated by a distance larger than deh at time t will never again be in causal contact after t. t0 t1 dph(t1) tdec t2 deh(t2) t1 0 comoving distances comoving distances
11 The physical meaning of an event horizon is that it marks the boundary beyond which observers lose the possibility of causal connection in the future. v = c v = c v = c What happens when the accelerated expansion doesn t last forever? Mathematically, there isn t an event horizon anymore - but still we can define the notion of an effective horizon: Like the notion of thermal equilibrium, what really matters is the time interval during which there is no causal contact, compared to the typical times for other (causal) physical processes v = c
12 Can do that with scalar fields! small Eq. motion (Klein-Gordon) Background, φ(t): V(φ) Hubble drag Potential If the kinetic energy is << than the potential energy => slow roll : φ With slowroll, V(φ) works like a time-varying Λ
13 Explicit example: the power-law model characterized by the mass scales M and s: Using these into Friedman s and Klein-Gordon s equations: 0 = φ + 3H φ + V,φ ( ) 1 3H 2 = 8πG 2 φ 2 + V The solution (up to a transient) is: with: Where: a(t) = ( t t 0 ) p, H = p t φ(t) = φ 0 log t t 0 Just choose p (i.e., s) sufficiently large and inflation will ensue
14 How it all started: inflationary particle creation - the ultimate free lunch! QUANTUM MECHANICS: " ΔE Δt > h/2π " Vacuum is filled with virtual pairs of particles, which survive during brief moments before being annihilated back to vacuum Guth 1980 Starobinsky 1979 Linde Mukhanov & Chibisov Hawking Guth & Pi...
15 Virtual pairs quantum fluctuations Right here, right now:
16 Virtual pairs in an expanding background (accelerated spacetime) accelerated expansion separates the pairs Horizon H -1 A contraction followed by expansion (bounce) would have a similar effect Inflation (accelerated expansion) converts virtuais pairs into real ones
17 Quantum fluctuations of a scalar field + metric perturbations during inflation Good reviews: Bassett, Tsujikawa & Wands astro-ph/ L. Sriramkumar, arxiv: H 2 = 8πG V (ϕ) ϕ + 3H ϕ + V = 0 After diagonalizing and integrating by parts, quadratic action: Solutions to U.V. (k 2 >>µ 2 ) and I.R. (k 2 <<µ 2 ):
18 Quantization: Vacuum: a k 0>=0 But: => Mixing of positive- and negative-energy modes => Amplification of zero-point energy by the external field (acc. expansion) => ~ Particle creation Inflation generates inhomogeneities in the primeval soup
19 v k + [k 2 + µ 2 (η)]v k = 0 t UV Today H -1 End of inflation Curvature perturbations: UV IR λ phys R k = v k z = ψ k + Ḣ ϕ δ ϕ k Constant on large scales ( IR ) convenient f/ normalization!
20 The primordial spectrum of curvature (-> density) perturbations: R k R k 2π 2 k 3 2 R(k) δ( k k ) ξ R ( x x ) = R( x)r( x ) = d 3 k d 3 k (2π) 3/2 (2π) 3/2 e i k x e i k x R k R k ξ R (r) = dk sin kr k 2 R(k) kr, r = x x It will also be useful to know the inverse of this relation ( Hankel transform ): 2 R(k) = 2 π k3 2 sin kr dr r kr ξ R(r) Many times we also define a dimensionful power spectrum: P R (k) = 2π 2 k 3 2 R(k) R k 2
21 Convergence arguments limit the form of the spectrum (Zel dovich, Harrison,...), so this function must be nearly scale-invariant: ( k 2 R(k) = 2 R(k 0 ) k 0 ) ns Rk arise from quantized harmonic oscillators their statistic is that of harmonic oscillators in their ground state GAUSSIAN! R k = e iφ kar ( k) Considering higher-order interactions lead to deviations from gaussianity! 0 φ k < 2π, P (φ) = 1 2π P (φ) P Gauss (A R ) e P G (A R ) A 2 R 4π 2 k 3 2 R 2π φ A R Nearly scale-invariant spectrum of Gaussian perturbations (Zel dovich, 70s)
22 The metric also has matter-independent fluctuations - gravity waves: 2 h(k) = 2 k3 2π 2 h k 2 Both density ( scalar ) and gravity wave ( tensor ) perturbations impact directly the CMB, and it is useful to set a pivot scale to determine the spectra: ( k 2 R(k) = 2 R(k 0 ) k 0 ) ns R(k 0 ) , k 0 = 0.002Mpc 1 Amplitude nailed by WMAP ( k 2 h(k) = 2 h(k 0 ) k 0 ) nt +... Their relative power is also a key observable: r = 2 h (k 0) 2 R (k 0)
23 Density perturbations ( scalar ) and gravity waves ( tensor ) are both generated during inflation (or some other early-universe free restaurant). However, scalar and tensor perturbations test very different physical scales: V (ϕ)/m pl 2 V (ϕ)/h V (ϕ)/mpl 2 M pl 1 V 3/2 M pl V 1 V M 2 pl M 2 pl = G 1 Although density perturbations have been digested by processes at low energies, gravity waves come straight from the GUT era!
24 Summarizing: from quantum fluctuations to CMB, galaxies etc. Andromeda quantum fluctuation classical fluctuation perturbation in density & temperature We live here s s y y (Adapted from Lineweaver 1997)
25 And how does inflation subvert the causality bounds of usual radiation/matter cosmology? t0 t1 dph(t1) tdec Inflation: the ultimate past-light-cone democracy
26 Tomorrow: Cosmic Microwave Background Radiation Z 1200 Tγ 10 ev Universe starts to become neutral Photons start to free stream While this happens, density and temperature fluctuations are imprinted on the CMB photons We detect these photons today - with their initial energies redshifted by the same factor 1/(1+z)
Structures in the early Universe. Particle Astrophysics chapter 8 Lecture 4
Structures in the early Universe Particle Astrophysics chapter 8 Lecture 4 overview Part 1: problems in Standard Model of Cosmology: horizon and flatness problems presence of structures Part : Need for
More informationIntroduction to Inflation
Introduction to Inflation Miguel Campos MPI für Kernphysik & Heidelberg Universität September 23, 2014 Index (Brief) historic background The Cosmological Principle Big-bang puzzles Flatness Horizons Monopoles
More informationAstro 507 Lecture 28 April 2, 2014
Astro 507 Lecture 28 April 2, 2014 Announcements: PS 5 due now Preflight 6 posted today last PF! 1 Last time: slow-roll inflation scalar field dynamics in an expanding universe slow roll conditions constrain
More informationThe early and late time acceleration of the Universe
The early and late time acceleration of the Universe Tomo Takahashi (Saga University) March 7, 2016 New Generation Quantum Theory -Particle Physics, Cosmology, and Chemistry- @Kyoto University The early
More informationCosmology: An Introduction. Eung Jin Chun
Cosmology: An Introduction Eung Jin Chun Cosmology Hot Big Bang + Inflation. Theory of the evolution of the Universe described by General relativity (spacetime) Thermodynamics, Particle/nuclear physics
More informationA873: Cosmology Course Notes. VII. Inflation
Readings VII. Inflation Alan Guth s Inflationary Universe paper (Phys Rev D, Vol. 23, p. 347, 1981) is a classic, well worth reading. The basics are well covered by Ryden, Chapter 11. For more physics
More informationCosmology and particle physics
Cosmology and particle physics Lecture notes Timm Wrase Lecture 9 Inflation - part I Having discussed the thermal history of our universe and in particular its evolution at times larger than 10 14 seconds
More informationLicia Verde. Introduction to cosmology. Lecture 4. Inflation
Licia Verde Introduction to cosmology Lecture 4 Inflation Dividing line We see them like temperature On scales larger than a degree, fluctuations were outside the Hubble horizon at decoupling Potential
More informationINFLATION. - EARLY EXPONENTIAL PHASE OF GROWTH OF SCALE FACTOR (after T ~ TGUT ~ GeV)
INFLATION - EARLY EXPONENTIAL PHASE OF GROWTH OF SCALE FACTOR (after T ~ TGUT ~ 10 15 GeV) -Phenomenologically similar to Universe with a dominant cosmological constant, however inflation needs to end
More informationModern Cosmology Final Examination Solutions 60 Pts
Modern Cosmology Final Examination Solutions 6 Pts Name:... Matr. Nr.:... February,. Observable Universe [4 Pts] 6 Pt: Complete the plot of Redshift vs Luminosity distance in the range < z < and plot (i)
More informationPAPER 71 COSMOLOGY. Attempt THREE questions There are seven questions in total The questions carry equal weight
MATHEMATICAL TRIPOS Part III Friday 31 May 00 9 to 1 PAPER 71 COSMOLOGY Attempt THREE questions There are seven questions in total The questions carry equal weight You may make free use of the information
More informationStructures in the early Universe. Particle Astrophysics chapter 8 Lecture 4
Structures in the early Universe Particle Astrophysics chapter 8 Lecture 4 overview problems in Standard Model of Cosmology: horizon and flatness problems presence of structures Need for an exponential
More informationOddities of the Universe
Oddities of the Universe Koushik Dutta Theory Division, Saha Institute Physics Department, IISER, Kolkata 4th November, 2016 1 Outline - Basics of General Relativity - Expanding FRW Universe - Problems
More informationInflationary Cosmology and Alternatives
Inflationary Cosmology and Alternatives V.A. Rubakov Institute for Nuclear Research of the Russian Academy of Sciences, Moscow and Department of paricle Physics abd Cosmology Physics Faculty Moscow State
More informationPhysics 463, Spring 07. Formation and Evolution of Structure: Growth of Inhomogenieties & the Linear Power Spectrum
Physics 463, Spring 07 Lecture 3 Formation and Evolution of Structure: Growth of Inhomogenieties & the Linear Power Spectrum last time: how fluctuations are generated and how the smooth Universe grows
More informationEl Universo en Expansion. Juan García-Bellido Inst. Física Teórica UAM Benasque, 12 Julio 2004
El Universo en Expansion Juan García-Bellido Inst. Física Teórica UAM Benasque, 12 Julio 2004 5 billion years (you are here) Space is Homogeneous and Isotropic General Relativity An Expanding Universe
More informationThe Theory of Inflationary Perturbations
The Theory of Inflationary Perturbations Jérôme Martin Institut d Astrophysique de Paris (IAP) Indian Institute of Technology, Chennai 03/02/2012 1 Introduction Outline A brief description of inflation
More informationArchaeology of Our Universe YIFU CAI ( 蔡一夫 )
Archaeology of Our Universe YIFU CAI ( 蔡一夫 ) 2013-11-05 Thermal History Primordial era 13.8 billion years by WMAP/NASA Large Scale Structure (LSS) by 2MASS Cosmic Microwave Background (CMB) by ESA/Planck
More informationWeek 6: Inflation and the Cosmic Microwave Background
Week 6: Inflation and the Cosmic Microwave Background January 9, 2012 1 Motivation The standard hot big-bang model with an (flat) FRW spacetime accounts correctly for the observed expansion, the CMB, BBN,
More informationMASAHIDE YAMAGUCHI. Quantum generation of density perturbations in the early Universe. (Tokyo Institute of Technology)
Quantum generation of density perturbations in the early Universe MASAHIDE YAMAGUCHI (Tokyo Institute of Technology) 03/07/16@Symposium: New Generation Quantum Theory -Particle Physics, Cosmology, and
More informationThe Concept of Inflation
The Concept of Inflation Introduced by Alan Guth, circa 1980, to provide answers to the following 5 enigmas: 1. horizon problem. How come the cosmic microwave background radiation is so uniform in very
More informationLecture 03. The Cosmic Microwave Background
The Cosmic Microwave Background 1 Photons and Charge Remember the lectures on particle physics Photons are the bosons that transmit EM force Charged particles interact by exchanging photons But since they
More informationInflation and the Primordial Perturbation Spectrum
PORTILLO 1 Inflation and the Primordial Perturbation Spectrum Stephen K N PORTILLO Introduction The theory of cosmic inflation is the leading hypothesis for the origin of structure in the universe. It
More informationCosmology with CMB & LSS:
Cosmology with CMB & LSS: the Early universe VSP08 lecture 4 (May 12-16, 2008) Tarun Souradeep I.U.C.A.A, Pune, India Ω +Ω +Ω +Ω + Ω +... = 1 0 0 0 0... 1 m DE K r r The Cosmic Triangle (Ostriker & Steinhardt)
More informationGravitation et Cosmologie: le Modèle Standard Cours 8: 6 fevrier 2009
Particules Élémentaires, Gravitation et Cosmologie Année 2008-09 Gravitation et Cosmologie: le Modèle Standard Cours 8: 6 fevrier 2009 Le paradigme inflationnaire Homogeneity and flatness problems in HBB
More informationInflation and the origin of structure in the Universe
Phi in the Sky, Porto 0 th July 004 Inflation and the origin of structure in the Universe David Wands Institute of Cosmology and Gravitation University of Portsmouth outline! motivation! the Primordial
More informationThe Early Universe. 1. Inflation Theory: The early universe expanded enormously in a brief instance in time.
The Early Universe The Early Universe 1. Inflation Theory: The early universe expanded enormously in a brief instance in time. 2. The fundamental forces change during the first second after the big bang.
More informationBrief Introduction to Cosmology
Brief Introduction to Cosmology Matias Zaldarriaga Harvard University August 2006 Basic Questions in Cosmology: How does the Universe evolve? What is the universe made off? How is matter distributed? How
More informationAstr 2320 Thurs. May 7, 2015 Today s Topics Chapter 24: New Cosmology Problems with the Standard Model Cosmic Nucleosynthesis Particle Physics Cosmic
Astr 2320 Thurs. May 7, 2015 Today s Topics Chapter 24: New Cosmology Problems with the Standard Model Cosmic Nucleosynthesis Particle Physics Cosmic Inflation Galaxy Formation 1 Chapter 24: #3 Chapter
More informationMATHEMATICAL TRIPOS Part III PAPER 53 COSMOLOGY
MATHEMATICAL TRIPOS Part III Wednesday, 8 June, 2011 9:00 am to 12:00 pm PAPER 53 COSMOLOGY Attempt no more than THREE questions. There are FOUR questions in total. The questions carry equal weight. STATIONERY
More informationInflation. By The amazing sleeping man, Dan the Man and the Alices
Inflation By The amazing sleeping man, Dan the Man and the Alices AIMS Introduction to basic inflationary cosmology. Solving the rate of expansion equation both analytically and numerically using different
More informationXIII. The Very Early Universe and Inflation. ASTR378 Cosmology : XIII. The Very Early Universe and Inflation 171
XIII. The Very Early Universe and Inflation ASTR378 Cosmology : XIII. The Very Early Universe and Inflation 171 Problems with the Big Bang The Flatness Problem The Horizon Problem The Monopole (Relic Particle)
More informationInflationary density perturbations
Cosener s House 7 th June 003 Inflationary density perturbations David Wands Institute of Cosmology and Gravitation University of Portsmouth outline! some motivation! Primordial Density Perturbation (and
More information4 Evolution of density perturbations
Spring term 2014: Dark Matter lecture 3/9 Torsten Bringmann (torsten.bringmann@fys.uio.no) reading: Weinberg, chapters 5-8 4 Evolution of density perturbations 4.1 Statistical description The cosmological
More informationprimordial avec les perturbations cosmologiques *
Tests de l Univers primordial avec les perturbations cosmologiques * Filippo Vernizzi Batz-sur-Mer, 16 octobre, 2008 * Soustitré en anglais What is the initial condition? Standard single field inflation
More informationCosmological Issues. Consider the stress tensor of a fluid in the local orthonormal frame where the metric is η ab
Cosmological Issues Radiation dominated Universe Consider the stress tensor of a fluid in the local orthonormal frame where the metric is η ab ρ 0 0 0 T ab = 0 p 0 0 0 0 p 0 () 0 0 0 p We do not often
More informationModern Cosmology / Scott Dodelson Contents
Modern Cosmology / Scott Dodelson Contents The Standard Model and Beyond p. 1 The Expanding Universe p. 1 The Hubble Diagram p. 7 Big Bang Nucleosynthesis p. 9 The Cosmic Microwave Background p. 13 Beyond
More informationTheoretical implications of detecting gravitational waves
Theoretical implications of detecting gravitational waves Ghazal Geshnizjani Department of Applied Mathematics University of Waterloo ggeshniz@uwaterloo.ca In collaboration with: William H. Kinney arxiv:1410.4968
More informationVU lecture Introduction to Particle Physics. Thomas Gajdosik, FI & VU. Big Bang (model)
Big Bang (model) What can be seen / measured? basically only light _ (and a few particles: e ±, p, p, ν x ) in different wave lengths: microwave to γ-rays in different intensities (measured in magnitudes)
More informationPriming the BICEP. Wayne Hu Chicago, March BB
Priming the BICEP 0.05 0.04 0.03 0.02 0.01 0 0.01 BB 0 50 100 150 200 250 300 Wayne Hu Chicago, March 2014 A BICEP Primer How do gravitational waves affect the CMB temperature and polarization spectrum?
More informationCosmology and the origin of structure
1 Cosmology and the origin of structure ocy I: The universe observed ocy II: Perturbations ocy III: Inflation Primordial perturbations CB: a snapshot of the universe 38, AB correlations on scales 38, light
More informationKey: cosmological perturbations. With the LHC, we hope to be able to go up to temperatures T 100 GeV, age t second
Lecture 3 With Big Bang nucleosynthesis theory and observations we are confident of the theory of the early Universe at temperatures up to T 1 MeV, age t 1 second With the LHC, we hope to be able to go
More informationClosed Universes, de Sitter Space and Inflation
Closed Universes, de Sitter Space and Inflation Chris Doran Cavendish Laboratory Based on astro-ph/0307311 by Lasenby and Doran The Cosmological Constant Dark energy responsible for around 70% of the total
More informationLecture 1 General relativity and cosmology. Kerson Huang MIT & IAS, NTU
A Superfluid Universe Lecture 1 General relativity and cosmology Kerson Huang MIT & IAS, NTU Lecture 1. General relativity and cosmology Mathematics and physics Big bang Dark energy Dark matter Robertson-Walker
More informationGalaxies 626. Lecture 3: From the CMBR to the first star
Galaxies 626 Lecture 3: From the CMBR to the first star Galaxies 626 Firstly, some very brief cosmology for background and notation: Summary: Foundations of Cosmology 1. Universe is homogenous and isotropic
More informationSchool Observational Cosmology Angra Terceira Açores 3 rd June Juan García-Bellido Física Teórica UAM Madrid, Spain
School Observational Cosmology Angra Terceira Açores 3 rd June 2014 Juan García-Bellido Física Teórica UAM Madrid, Spain Outline Lecture 1 Shortcomings of the Hot Big Bang The Inflationary Paradigm Homogeneous
More informationInflation. Week 9. ASTR/PHYS 4080: Introduction to Cosmology
Inflation ASTR/PHYS 4080: Intro to Cosmology Week 9 1 Successes of the Hot Big Bang Model Consists of: General relativity Cosmological principle Known atomic/nuclear/particle physics Explains: dark night
More informationCosmological Issues. Consider the stress tensor of a fluid in the local orthonormal frame where the metric is η ab
Cosmological Issues 1 Radiation dominated Universe Consider the stress tensor of a fluid in the local orthonormal frame where the metric is η ab ρ 0 0 0 T ab = 0 p 0 0 0 0 p 0 (1) 0 0 0 p We do not often
More informationGravitation: Cosmology
An Introduction to General Relativity Center for Relativistic Astrophysics School of Physics Georgia Institute of Technology Notes based on textbook: Spacetime and Geometry by S.M. Carroll Spring 2013
More informationThe Expanding Universe
Cosmology Expanding Universe History of the Universe Cosmic Background Radiation The Cosmological Principle Cosmology and General Relativity Dark Matter and Dark Energy Primitive Cosmology If the universe
More informationThe Effects of Inhomogeneities on the Universe Today. Antonio Riotto INFN, Padova
The Effects of Inhomogeneities on the Universe Today Antonio Riotto INFN, Padova Frascati, November the 19th 2004 Plan of the talk Short introduction to Inflation Short introduction to cosmological perturbations
More informationIntro to Inflationary Cosmology
Times are bad. Children no longer obey their parents and everyone is writing a book. Cicero, 43 BC Bruce A. Bassett Intro to Inflationary Cosmology SAAO & UCT Cosmic Problem 1 : Isotropy COBE satellite
More informationAstro-2: History of the Universe
Astro-2: History of the Universe Lecture 8; May 7 2013 Previously on astro-2 Wherever we look in the sky there is a background of microwaves, the CMB. The CMB is very close to isotropic better than 0.001%
More informationLecture 12. Inflation. What causes inflation. Horizon problem Flatness problem Monopole problem. Physical Cosmology 2011/2012
Lecture 1 Inflation Horizon problem Flatness problem Monopole problem What causes inflation Physical Cosmology 11/1 Inflation What is inflation good for? Inflation solves 1. horizon problem. flatness problem
More informationA5682: Introduction to Cosmology Course Notes. 11. CMB Anisotropy
Reading: Chapter 8, sections 8.4 and 8.5 11. CMB Anisotropy Gravitational instability and structure formation Today s universe shows structure on scales from individual galaxies to galaxy groups and clusters
More informationInflation and the origin of structure David Wands Institute of Cosmology and Gravitation University of Portsmouth
Cody Astronomical Society 7 th December 2011 Inflation and the origin of structure David Wands Institute of Cosmology and Gravitation University of Portsmouth outline of my talk: large-structure in the
More informationScale symmetry a link from quantum gravity to cosmology
Scale symmetry a link from quantum gravity to cosmology scale symmetry fluctuations induce running couplings violation of scale symmetry well known in QCD or standard model Fixed Points Quantum scale symmetry
More information20 Lecture 20: Cosmic Microwave Background Radiation continued
PHYS 652: Astrophysics 103 20 Lecture 20: Cosmic Microwave Background Radiation continued Innocent light-minded men, who think that astronomy can be learnt by looking at the stars without knowledge of
More informationCosmic Large-scale Structure Formations
Cosmic Large-scale Structure Formations Bin HU bhu@bnu.edu.cn Astro@BNU Office: 京师 大厦 9907 18 weeks outline Background (1 w) universe geometry and matter components (1 hr) Standard candle (SNIa) (0.5 hr)
More informationPROBLEM SET 10 (The Last!)
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Physics 8.286: The Early Universe December 8, 2016 Prof. Alan Guth PROBLEM SET 10 (The Last!) DUE DATE: Wednesday, December 14, 2016, at 4:00 pm.
More informationCosmology. Assumptions in cosmology Olber s paradox Cosmology à la Newton Cosmology à la Einstein Cosmological constant Evolution of the Universe
Cosmology Assumptions in cosmology Olber s paradox Cosmology à la Newton Cosmology à la Einstein Cosmological constant Evolution of the Universe Assumptions in Cosmology Copernican principle: We do not
More informationCosmology. Thornton and Rex, Ch. 16
Cosmology Thornton and Rex, Ch. 16 Expansion of the Universe 1923 - Edwin Hubble resolved Andromeda Nebula into separate stars. 1929 - Hubble compared radial velocity versus distance for 18 nearest galaxies.
More information2.1 Basics of the Relativistic Cosmology: Global Geometry and the Dynamics of the Universe Part I
1 2.1 Basics of the Relativistic Cosmology: Global Geometry and the Dynamics of the Universe Part I 2 Special Relativity (1905) A fundamental change in viewing the physical space and time, now unified
More informationAstronomy, Astrophysics, and Cosmology
Astronomy, Astrophysics, and Cosmology Luis A. Anchordoqui Department of Physics and Astronomy Lehman College, City University of New York Lesson VI March 15, 2016 arxiv:0706.1988 L. A. Anchordoqui (CUNY)
More informationLecture 05. Cosmology. Part I
Cosmology Part I What is Cosmology Cosmology is the study of the universe as a whole It asks the biggest questions in nature What is the content of the universe: Today? Long ago? In the far future? How
More informationThe Early Universe John Peacock ESA Cosmic Vision Paris, Sept 2004
The Early Universe John Peacock ESA Cosmic Vision Paris, Sept 2004 The history of modern cosmology 1917 Static via cosmological constant? (Einstein) 1917 Expansion (Slipher) 1952 Big Bang criticism (Hoyle)
More informationModern Cosmology Solutions 4: LCDM Universe
Modern Cosmology Solutions 4: LCDM Universe Max Camenzind October 29, 200. LCDM Models The ansatz solves the Friedmann equation, since ȧ = C cosh() Ωm sinh /3 H 0 () () ȧ 2 = C 2 cosh2 () sinh 2/3 () (
More informationConcordance Cosmology and Particle Physics. Richard Easther (Yale University)
Concordance Cosmology and Particle Physics Richard Easther (Yale University) Concordance Cosmology The standard model for cosmology Simplest model that fits the data Smallest number of free parameters
More informationOlbers Paradox. Lecture 14: Cosmology. Resolutions of Olbers paradox. Cosmic redshift
Lecture 14: Cosmology Olbers paradox Redshift and the expansion of the Universe The Cosmological Principle Ω and the curvature of space The Big Bang model Primordial nucleosynthesis The Cosmic Microwave
More informationPhysics 133: Extragalactic Astronomy and Cosmology
Physics 133: Extragalactic Astronomy and Cosmology Week 2 Spring 2018 Previously: Empirical foundations of the Big Bang theory. II: Hubble s Law ==> Expanding Universe CMB Radiation ==> Universe was hot
More informationConnecting Quarks to the Cosmos
Connecting Quarks to the Cosmos Institute for Nuclear Theory 29 June to 10 July 2009 Inflationary Cosmology II Michael S. Turner Kavli Institute for Cosmological Physics The University of Chicago Michael
More informationClassical Dynamics of Inflation
Preprint typeset in JHEP style - HYPER VERSION Classical Dynamics of Inflation Daniel Baumann School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540 http://www.sns.ias.edu/ dbaumann/
More informationCOSMIC INFLATION AND THE REHEATING OF THE UNIVERSE
COSMIC INFLATION AND THE REHEATING OF THE UNIVERSE Francisco Torrentí - IFT/UAM Valencia Students Seminars - December 2014 Contents 1. The Friedmann equations 2. Inflation 2.1. The problems of hot Big
More informationSupergravity and inflationary cosmology Ana Achúcarro
Supergravity and inflationary cosmology Ana Achúcarro Supergravity and inflationary cosmology Slow roll inflation with fast turns: Features of heavy physics in the CMB with J-O. Gong, S. Hardeman, G. Palma,
More informationLecture 37 Cosmology [not on exam] January 16b, 2014
1 Lecture 37 Cosmology [not on exam] January 16b, 2014 2 Structure of the Universe Does clustering of galaxies go on forever? Looked at very narrow regions of space to far distances. On large scales the
More informationReally, really, what universe do we live in?
Really, really, what universe do we live in? Fluctuations in cosmic microwave background Origin Amplitude Spectrum Cosmic variance CMB observations and cosmological parameters COBE, balloons WMAP Parameters
More informationIoP. An Introduction to the Science of Cosmology. Derek Raine. Ted Thomas. Series in Astronomy and Astrophysics
Series in Astronomy and Astrophysics An Introduction to the Science of Cosmology Derek Raine Department of Physics and Astronomy University of Leicester, UK Ted Thomas Department of Physics and Astronomy
More informationInflation, Gravity Waves, and Dark Matter. Qaisar Shafi
Inflation, Gravity Waves, and Dark Matter Qaisar Shafi Bartol Research Institute Department of Physics and Astronomy University of Delaware Feb 2015 University of Virginia Charlottesville, VA Units ћ =
More informationAy1 Lecture 18. The Early Universe and the Cosmic Microwave Background
Ay1 Lecture 18 The Early Universe and the Cosmic Microwave Background 18.1 Basic Ideas, and the Cosmic Microwave background The Key Ideas Pushing backward in time towards the Big Bang, the universe was
More informationPhysics 133: Extragalactic Astronomy and Cosmology. Week 8
Physics 133: Extragalactic Astronomy and Cosmology Week 8 Outline for Week 8 Primordial Nucleosynthesis Successes of the standard Big Bang model Olbers paradox/age of the Universe Hubble s law CMB Chemical/Physical
More informationRelativity, Gravitation, and Cosmology
Relativity, Gravitation, and Cosmology A basic introduction TA-PEI CHENG University of Missouri St. Louis OXFORD UNIVERSITY PRESS Contents Parti RELATIVITY Metric Description of Spacetime 1 Introduction
More informationAstronomy 182: Origin and Evolution of the Universe
Astronomy 182: Origin and Evolution of the Universe Prof. Josh Frieman Lecture 11 Nov. 13, 2015 Today Cosmic Microwave Background Big Bang Nucleosynthesis Assignments This week: read Hawley and Holcomb,
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Physics 8.286: The Early Universe November 24, 2013 Prof. Alan Guth PROBLEM SET 9
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Physics 8.286: The Early Universe November 24, 2013 Prof. Alan Guth PROBLEM SET 9 DUE DATE: Monday, December 2, 2013, at 5:00 pm. This is the last
More informationCosmic Background Radiation
Cosmic Background Radiation The Big Bang generated photons, which scattered frequently in the very early Universe, which was opaque. Once recombination happened the photons are scattered one final time
More informationThe multi-field facets of inflation. David Langlois (APC, Paris)
The multi-field facets of inflation David Langlois (APC, Paris) Introduction After 25 years of existence, inflation has been so far very successful to account for observational data. The nature of the
More informationThe cosmic background radiation II: The WMAP results. Alexander Schmah
The cosmic background radiation II: The WMAP results Alexander Schmah 27.01.05 General Aspects - WMAP measures temperatue fluctuations of the CMB around 2.726 K - Reason for the temperature fluctuations
More informationPOST-INFLATIONARY HIGGS RELAXATION AND THE ORIGIN OF MATTER- ANTIMATTER ASYMMETRY
POST-INFLATIONARY HIGGS RELAXATION AND THE ORIGIN OF MATTER- ANTIMATTER ASYMMETRY LOUIS YANG ( 楊智軒 ) UNIVERSITY OF CALIFORNIA, LOS ANGELES (UCLA) DEC 27, 2016 NATIONAL TSING HUA UNIVERSITY OUTLINE Big
More informationThe cosmic microwave background radiation
The cosmic microwave background radiation László Dobos Dept. of Physics of Complex Systems dobos@complex.elte.hu É 5.60 May 18, 2018. Origin of the cosmic microwave radiation Photons in the plasma are
More informationInflation in a general reionization scenario
Cosmology on the beach, Puerto Vallarta,, Mexico 13/01/2011 Inflation in a general reionization scenario Stefania Pandolfi, University of Rome La Sapienza Harrison-Zel dovich primordial spectrum is consistent
More informationIs inflation really necessary in a closed Universe? Branislav Vlahovic, Maxim Eingorn. Please see also arxiv:
Is inflation really necessary in a closed Universe? Branislav Vlahovic, Maxim Eingorn North Carolina Central University NASA University Research Centers, Durham NC Please see also arxiv:1303.3203 Chicago
More informationTuesday: Special epochs of the universe (recombination, nucleosynthesis, inflation) Wednesday: Structure formation
Introduction to Cosmology Professor Barbara Ryden Department of Astronomy The Ohio State University ICTP Summer School on Cosmology 2016 June 6 Today: Observational evidence for the standard model of cosmology
More informationTime-Symmetric Cosmology
Time-Symmetric Cosmology Lionel D. Hewett Physics Dept., Texas A&M University-Kingsville, Kingsville, TX 786 April 27, 20 Abstract This article is based upon the assumption that the universe began with
More informationCosmology. An Analogy 11/28/2010. Cosmology Study of the origin, evolution and future of the Universe
Cosmology Cosmology Study of the origin, evolution and future of the Universe Obler s Paradox If the Universe is infinite why is the sky dark at night? Newtonian Universe The Universe is infinite and unchanging
More informationThe Search for the Complete History of the Cosmos. Neil Turok
The Search for the Complete History of the Cosmos Neil Turok * The Big Bang * Dark Matter and Energy * Precision Tests * A Cyclic Universe? * Future Probes BIG Questions * What are the Laws of Nature?
More informationFundamental Particles
Fundamental Particles Standard Model of Particle Physics There are three different kinds of particles. Leptons - there are charged leptons (e -, μ -, τ - ) and uncharged leptons (νe, νμ, ντ) and their
More informationAstronomy 182: Origin and Evolution of the Universe
Astronomy 182: Origin and Evolution of the Universe Prof. Josh Frieman Lecture 14 Dec. 2, 2015 Today The Inflationary Universe Origin of Density Perturbations Gravitational Waves Origin and Evolution of
More informationNucleosíntesis primordial
Tema 5 Nucleosíntesis primordial Asignatura de Física Nuclear Curso académico 2009/2010 Universidad de Santiago de Compostela Big Bang cosmology 1.1 The Universe today The present state of the Universe
More informationGerman physicist stops Universe
Big bang or freeze? NATURE NEWS Cosmologist claims Universe may not be expanding Particles' changing masses could explain why distant galaxies appear to be rushing away. Jon Cartwright 16 July 2013 German
More informationLecture notes 20: Inflation
Lecture notes 20: Inflation The observed galaxies, quasars and supernovae, as well as observations of intergalactic absorption lines, tell us about the state of the universe during the period where z
More informationObservational evidence for Dark energy
Observational evidence for Dark energy ICSW-07 (Jun 2-9, 2007) Tarun Souradeep I.U.C.A.A, Pune, India Email: tarun@iucaa.ernet.in Observational evidence for DE poses a major challenge for theoretical cosmology.
More information