Licia Verde. Introduction to cosmology. Lecture 4. Inflation
|
|
- Anastasia McCarthy
- 5 years ago
- Views:
Transcription
1 Licia Verde Introduction to cosmology Lecture 4 Inflation
2 Dividing line
3 We see them like temperature On scales larger than a degree, fluctuations were outside the Hubble horizon at decoupling Potential hill Blueshifted Looks hotter Photons need to climb out of potential wells before they can travel to us (redshift or blueshift) Potential well redshifted Looks colder Given by
4 The horizon expands for a decelerated expansion
5
6 There is time between when a perturbation enters the horizon (and starts oscillate) And decoupling, when oscillations freeze. And get imprinted in the CMB. Longer wavelength modes oscillate slower The frequency of the oscillation is equal to the wavenumber times the speed of sound: ω = kc s. The largest scales (sound horizon) can only go through a compression, Smaller scales can go through a compression and a rarefaction Etc Animations courtesy of W. Hu
7 Courtesy of WMAP
8 Power spectrum, again Challenge! rms 1 in 10 5 Even bigger challenge! Expand in spherical harmonics Legendre polynomials Angular power spectrum
9 compression Acoustic peaks (extrema) Rarefaction compression Primordial ripples Fundamental mode
10 compression Potential wells! m geometry baryons (extrema) Rarefaction compression Primordial ripples Fundamental mode
11 Courtesy of WMAP
12 Courtesy of WMAP
13 Today we have an extremely successful cosmological model Think of Friedmann equations, few parameters If we add perturbations:
14
15 ?
16
17 Impressive agreement: All with a handful of parameters
18 The very latest constraints Forget green for now From Reid et al 09
19 The cosmological model Precision cosmology Basic cosmological parameters known with ~% precision
20 ASIDE (advanced topic!) (by popular request) Neutrinos in cosmology 2 effects: 2 parameters N eff Number of effective neutrino species Neutrinos were behaving like radiation in the very early universe This affects the expansion history and matter radiation equality Mass eignestate They free stream (out of potential wells), damping small-scale perturbations (I.e. cosmological structures)
21 The standard cosmological model 96% of the Universe is missing!!! Major questions : Questions that can be addressed exclusively by looking up at the sky 1)What created the primordial perturbations? 2) What makes the Universe accelerate? These questions may not be unrelated
22 Successes of the Big Bang model GR+cosmological principle Hubble s law CMB Abundance of light elements
23 .. And problems Flatness problem Horizon problem Monopole problem Origin of perturbations
24 The flatness problem Remember Friedmann equations? today For most of the life of the universe: matter+radiation only Matter domination Exercise: Universe was flatter in the past! Radiation dominated Exercise:
25 Very quickly you find that early on 1-Ω <10-60 It is like balancing a pencil on its tip, coming back years later and still fining it balancing on its tip
26 The Horizon problem Different type of Horizons in Cosmology Since light travels at a final speed & Universe is expanding PARTICLE HORIZON: Maximum comoving distance light can have propagated in ti to tf Accounts for all the past expansion history Given the same dt, dp can be very different if a(t) is weird! HUBBLE HORIZON: c/h or c/t0. For normal expansion histories dp ~ c/h For weird ones BEWARE!
27 The Horizon problem The universe is homogeneous and isotropic on large scales 2.726K Consider 2 antipodal points they are separated by 2d H ~30000 Mpc What was the Hubble radius (horizon) back then? Only points at ~0.2 Mpc could have talked
28 Small aside c_s ~c Compare with the size of the CMB spots!
29
30 The last scattering surface can be divided in patches of degree size I.e horizons. How could they all be at 2.726K? Imagine students taking an exam, and all returning THE SAME exam down to the commas
31 The monopole problem Phase transitions (water freezing, Magnetization )
32 Defects. Domain walls Cosmic strings monopoles Example from a nematic liquid crystal The most dangerous ones are the monopoles The fact that we are here means that at max there is one monopole in the entire observable universe.
33 And where the heck these perturbations come from?
34 INFLATION to the rescue Started in the 1980 with A. Guth, active research area. Still a paradigm not a proven fact Postulate a period of accelerated expansion at the very beginning! Something like a cosmological constant Different scenarios, particle-physics motivated (?)
35 Why is the Universe so BIG? Inflation to the rescue: an accelerated expansion Inflation begins Inflation ends Example: Even if inflation lasts for NOT BAD!
36 Any weirdness like monopole Would be diluted away!
37 Something like a Λ Inflation solves the Flatness problem For N~100 NOT BAD!
38 Inflation Solves the Flatness Looks curved Problem Looks Flat!!???.. What made the Universe so flat? What made the Universe so big? What made the universe so uniform? What seeded the galaxies?
39 Why is the Universe so uniform? Inflation solves that
40 Inflation solves the Horizon problem In an accelerated expansion the particle horizon and the Hubble horizon can be VERY DIFFERENT Given the same dt, dp can be very different if a(t) is weird!
41
42
43 As an added bonus: Inflation generates Gaussian perturbations: quantum fluctuations stretched to become classical by the expansion. The mechanism is similar to Hawkings radiation. (The event horizon being the complementary concept to the particle horizon ) Turns out that the power spectrum of these perturbations will be a power law: different model of inflation predict slightly different power laws, but all close to scale invariant..
44 Perturbations outside the Horizon? Inflation solves that Fluctuations frozen in
45 CAN THIS BE TESTED? flatness Power law primordial power spectrum Can even hope to distinguish specific models Super horizon fluctuations (polarization) gaussianity Can even hope to distinguish specific models Stochastic background of gravity waves (polarization)
46 Putting it all together Have a cosmological model The parameters are well measured 2 big puzzles: Origin of fluctuations (what made the Universe inflate?) Cosmological constant or dark energy: what is that?
A taste of cosmology. Licia Verde. Lecture 3. Cosmic Acceleration and outlook for the Future
A taste of cosmology Licia Verde Lecture 3 Cosmic Acceleration and outlook for the Future Successes of the Big Bang model GR+cosmological principle Hubble s law CMB Abundance of light elements .. And problems
More informationStructures 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 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 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 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 informationLecture 09. The Cosmic Microwave Background. Part II Features of the Angular Power Spectrum
The Cosmic Microwave Background Part II Features of the Angular Power Spectrum Angular Power Spectrum Recall the angular power spectrum Peak at l=200 corresponds to 1o structure Exactly the horizon distance
More informationA5682: Introduction to Cosmology Course Notes. 11. CMB Anisotropy
Reading: Chapter 9, sections 9.4 and 9.5 11. CMB Anisotropy Gravitational instability and structure formation Today s universe shows structure on scales from individual galaxies to galaxy groups and clusters
More informationn=0 l (cos θ) (3) C l a lm 2 (4)
Cosmic Concordance What does the power spectrum of the CMB tell us about the universe? For that matter, what is a power spectrum? In this lecture we will examine the current data and show that we now have
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 informationAST5220 lecture 2 An introduction to the CMB power spectrum. Hans Kristian Eriksen
AST5220 lecture 2 An introduction to the CMB power spectrum Hans Kristian Eriksen Cosmology in ~five slides The basic ideas of Big Bang: 1) The Big Bang model The universe expands today Therefore it must
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 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 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 informationRinging in the New Cosmology
Ringing in the New Cosmology 80 T (µk) 60 40 20 Boom98 CBI Maxima-1 DASI 500 1000 1500 l (multipole) Acoustic Peaks in the CMB Wayne Hu Temperature Maps CMB Isotropy Actual Temperature Data COBE 1992 Dipole
More informationPhysical Cosmology 18/5/2017
Physical Cosmology 18/5/2017 Alessandro Melchiorri alessandro.melchiorri@roma1.infn.it slides can be found here: oberon.roma1.infn.it/alessandro/cosmo2017 Summary If we consider perturbations in a pressureless
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 informationBAO & RSD. Nikhil Padmanabhan Essential Cosmology for the Next Generation VII December 2017
BAO & RSD Nikhil Padmanabhan Essential Cosmology for the Next Generation VII December 2017 Overview Introduction Standard rulers, a spherical collapse picture of BAO, the Kaiser formula, measuring distance
More informationCMB Anisotropies: The Acoustic Peaks. Boom98 CBI Maxima-1 DASI. l (multipole) Astro 280, Spring 2002 Wayne Hu
CMB Anisotropies: The Acoustic Peaks 80 T (µk) 60 40 20 Boom98 CBI Maxima-1 DASI 500 1000 1500 l (multipole) Astro 280, Spring 2002 Wayne Hu Physical Landscape 100 IAB Sask 80 Viper BAM TOCO Sound Waves
More informationQuiz! Lecture 25 : Inflation. ! Inflation! How inflation solves the puzzles. ! Physical motivation of inflation: quantum fields
! Inflation! How inflation solves the puzzles! Physical motivation of inflation: quantum fields Lecture 25 : Inflation Sidney Harris Reading: Chapter 16 of text 5/3/2007 1 Quiz!! What are Pop III stars?
More informationAST5220 lecture 2 An introduction to the CMB power spectrum. Hans Kristian Eriksen
AST5220 lecture 2 An introduction to the CMB power spectrum Hans Kristian Eriksen Cosmology in ~five slides The basic ideas of Big Bang: 1) The Big Bang model The universe expands today Therefore it must
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 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 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 informationThe oldest science? One of the most rapidly evolving fields of modern research. Driven by observations and instruments
The oldest science? One of the most rapidly evolving fields of modern research. Driven by observations and instruments Intersection of physics (fundamental laws) and astronomy (contents of the universe)
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 informationFrom inflation to the CMB to today s universe. I - How it all begins
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 redshift Very brief cosmic history 10 9 200 s BBN 1 MeV
More informationThe Once and Future CMB
The Once and Future CMB DOE, Jan. 2002 Wayne Hu The On(c)e Ring Original Power Spectra of Maps 64º Band Filtered Ringing in the New Cosmology Gravitational Ringing Potential wells = inflationary seeds
More informationThe Physics Behind the Cosmic Microwave Background
The Physics Behind the Cosmic Microwave Background Without question, the source of the most precise information about the universe as a whole and about its early state is the cosmic microwave background
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 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 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 informationAbout the format of the literature report
About the format of the literature report Minimum 3 pages! Suggested structure: Introduction Main text Discussion Conclusion References Use bracket-number (e.g. [3]) or author-year (e.g. Zackrisson et
More informationGalaxy Formation Seminar 2: Cosmological Structure Formation as Initial Conditions for Galaxy Formation. Prof. Eric Gawiser
Galaxy Formation Seminar 2: Cosmological Structure Formation as Initial Conditions for Galaxy Formation Prof. Eric Gawiser Cosmic Microwave Background anisotropy and Large-scale structure Cosmic Microwave
More informationGeneral Relativity Lecture 20
General Relativity Lecture 20 1 General relativity General relativity is the classical (not quantum mechanical) theory of gravitation. As the gravitational interaction is a result of the structure of space-time,
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 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 informationMODERN COSMOLOGY LECTURE FYTN08
1/43 MODERN COSMOLOGY LECTURE Lund University bijnens@thep.lu.se http://www.thep.lu.se/ bijnens Lecture Updated 2015 2/43 3/43 1 2 Some problems with a simple expanding universe 3 4 5 6 7 8 9 Credit many
More informationLecture 7(cont d):our Universe
Lecture 7(cont d):our Universe 1. Traditional Cosmological tests Theta-z Galaxy counts Tolman Surface Brightness test 2. Modern tests HST Key Project (H o ) Nucleosynthesis (Ω b ) BBN+Clusters (Ω M ) SN1a
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 informationAstronomy 422. Lecture 20: Cosmic Microwave Background
Astronomy 422 Lecture 20: Cosmic Microwave Background Key concepts: The CMB Recombination Radiation and matter eras Next time: Astro 422 Peer Review - Make sure to read all 6 proposals and send in rankings
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 informationCosmology II: The thermal history of the Universe
.. Cosmology II: The thermal history of the Universe Ruth Durrer Département de Physique Théorique et CAP Université de Genève Suisse August 6, 2014 Ruth Durrer (Université de Genève) Cosmology II August
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 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 informationCosmic Microwave Background. Eiichiro Komatsu Guest Lecture, University of Copenhagen, May 19, 2010
Cosmic Microwave Background Eiichiro Komatsu Guest Lecture, University of Copenhagen, May 19, 2010 1 Cosmology: The Questions How much do we understand our Universe? How old is it? How big is it? What
More informationCosmology (Cont.) Lecture 19
Cosmology (Cont.) Lecture 19 1 General relativity General relativity is the classical theory of gravitation, and as the gravitational interaction is due to the structure of space-time, the mathematical
More informationThe Power. of the Galaxy Power Spectrum. Eric Linder 13 February 2012 WFIRST Meeting, Pasadena
The Power of the Galaxy Power Spectrum Eric Linder 13 February 2012 WFIRST Meeting, Pasadena UC Berkeley & Berkeley Lab Institute for the Early Universe, Korea 11 Baryon Acoustic Oscillations In the beginning...
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 informationPhysical Cosmology 12/5/2017
Physical Cosmology 12/5/2017 Alessandro Melchiorri alessandro.melchiorri@roma1.infn.it slides can be found here: oberon.roma1.infn.it/alessandro/cosmo2017 Structure Formation Until now we have assumed
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 informationCosmology in a nutshell + an argument against
Cosmology in a nutshell + an argument against Ω Λ = based on the inconsistency of the CMB and supernovae results Charles H Lineweaver arxiv:astro-ph/983v Mar 998 University of New South Wales, Sydney,
More informationPhysics 133: Extragalactic Astronomy ad Cosmology
Physics 133: Extragalactic Astronomy ad Cosmology Lecture 4; January 15 2014 Previously The dominant force on the scale of the Universe is gravity Gravity is accurately described by the theory of general
More informationCosmic Microwave Background Introduction
Cosmic Microwave Background Introduction Matt Chasse chasse@hawaii.edu Department of Physics University of Hawaii at Manoa Honolulu, HI 96816 Matt Chasse, CMB Intro, May 3, 2005 p. 1/2 Outline CMB, what
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 informationWhat can we Learn from the Cosmic Microwave Background
What can we Learn from the Cosmic Microwave Background Problem Set #3 will be due in part on April 8 and in full on April 11 Solutions to Problem Set #2 are online... graded versions soon Again I m asking
More informationIntroduction. How did the universe evolve to what it is today?
Cosmology 8 1 Introduction 8 2 Cosmology: science of the universe as a whole How did the universe evolve to what it is today? Based on four basic facts: The universe expands, is isotropic, and is homogeneous.
More informationTheory of galaxy formation
Theory of galaxy formation Bibliography: Galaxy Formation and Evolution (Mo, van den Bosch, White 2011) Lectures given by Frank van den Bosch in Yale http://www.astro.yale.edu/vdbosch/teaching.html Theory
More informationCosmology: The Origin and Evolution of the Universe Chapter Twenty-Eight. Guiding Questions
Cosmology: The Origin and Evolution of the Universe Chapter Twenty-Eight Guiding Questions 1. What does the darkness of the night sky tell us about the nature of the universe? 2. As the universe expands,
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 informationCosmology. Jörn Wilms Department of Physics University of Warwick.
Cosmology Jörn Wilms Department of Physics University of Warwick http://astro.uni-tuebingen.de/~wilms/teach/cosmo Contents 2 Old Cosmology Space and Time Friedmann Equations World Models Modern Cosmology
More informationPhysics 661. Particle Physics Phenomenology. October 2, Physics 661, lecture 2
Physics 661 Particle Physics Phenomenology October 2, 2003 Evidence for theory: Hot Big Bang Model Present expansion of the Universe Existence of cosmic microwave background radiation Relative abundance
More informationModeling the Universe A Summary
Modeling the Universe A Summary Questions to Consider 1. What does the darkness of the night sky tell us about the nature of the universe? 2. As the universe expands, what, if anything, is it expanding
More informationRedshift-Distance Relationships
Redshift-Distance Relationships George Jones April 4, 0. Distances in Cosmology This note considers two conceptually important definitions of cosmological distances, look-back distance and proper distance.
More informationLarge Scale Structure After these lectures, you should be able to: Describe the matter power spectrum Explain how and why the peak position depends on
Observational cosmology: Large scale structure Filipe B. Abdalla Kathleen Lonsdale Building G.22 http://zuserver2.star.ucl.ac.uk/~hiranya/phas3136/phas3136 Large Scale Structure After these lectures, you
More informationAST4320: LECTURE 10 M. DIJKSTRA
AST4320: LECTURE 10 M. DIJKSTRA 1. The Mass Power Spectrum P (k) 1.1. Introduction: the Power Spectrum & Transfer Function. The power spectrum P (k) emerged in several of our previous lectures: It fully
More informationWhat is cosmic inflation? A short period of fast expansion, happening very early in the history of the Universe. Outline.
Outline Covers chapters 1 & 11 in Ryden Grand Unification Grand Unification II Gravity? Theory of Everything? Strong force Weak force EM t Planck : ~1-43 s t GUT : ~1-36 s t EW : ~1-12 s t Phase Transitions
More informationThe Early Universe: A Journey into the Past
Gravity: Einstein s General Theory of Relativity The Early Universe A Journey into the Past Texas A&M University March 16, 2006 Outline Gravity: Einstein s General Theory of Relativity Galileo and falling
More informationLecture 3+1: Cosmic Microwave Background
Lecture 3+1: Cosmic Microwave Background Structure Formation and the Dark Sector Wayne Hu Trieste, June 2002 Large Angle Anisotropies Actual Temperature Data Really Isotropic! Large Angle Anisotropies
More informationThe Early Universe: A Journey into the Past
The Early Universe A Journey into the Past Texas A&M University March 16, 2006 Outline Galileo and falling bodies Galileo Galilei: all bodies fall at the same speed force needed to accelerate a body is
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 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 information4.3 The accelerating universe and the distant future
Discovering Astronomy : Galaxies and Cosmology 46 Figure 55: Alternate histories of the universe, depending on the mean density compared to the critical value. The left hand panel shows the idea graphically.
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 informationCosmology Dark Energy Models ASTR 2120 Sarazin
Cosmology Dark Energy Models ASTR 2120 Sarazin Late Homeworks Last day Wednesday, May 1 My mail box in ASTR 204 Maximum credit 50% unless excused (but, better than nothing) Final Exam Thursday, May 2,
More informationisocurvature modes Since there are two degrees of freedom in
isocurvature modes Since there are two degrees of freedom in the matter-radiation perturbation, there must be a second independent perturbation mode to complement the adiabatic solution. This clearly must
More informationOUSSEP Final Week. If we run out of time you can look at uploaded slides Pearson Education, Inc.
OUSSEP Final Week Last week hopefully read Holiday-Week 23rd November Lecture notes Hand in your Hubble Deep Field Reports today! (If not today then in my mail box @ International College.) Today we will
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. 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 informationChapter 21 Evidence of the Big Bang. Expansion of the Universe. Big Bang Theory. Age of the Universe. Hubble s Law. Hubble s Law
Chapter 21 Evidence of the Big Bang Hubble s Law Universal recession: Slipher (1912) and Hubble found that all galaxies seem to be moving away from us: the greater the distance, the higher the redshift
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 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 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 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 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 informationPreliminaries. Growth of Structure. Today s measured power spectrum, P(k) Simple 1-D example of today s P(k) Growth in roughness: δρ/ρ. !(r) =!!
Growth of Structure Notes based on Teaching Company lectures, and associated undergraduate text with some additional material added. For a more detailed discussion, see the article by Peacock taken from
More information3 Observational Cosmology Evolution from the Big Bang Lecture 2
3 Observational Cosmology Evolution from the Big Bang Lecture 2 http://www.sr.bham.ac.uk/~smcgee/obscosmo/ Sean McGee smcgee@star.sr.bham.ac.uk http://www.star.sr.bham.ac.uk/~smcgee/obscosmo Nucleosynthesis
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 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 informationThe Cosmological Principle
Cosmological Models John O Byrne School of Physics University of Sydney Using diagrams and pp slides from Seeds Foundations of Astronomy and the Supernova Cosmology Project http://www-supernova.lbl.gov
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 informationOrigin of the Universe
Origin of the Universe Shortcomings of the Big Bang Model There is tremendous evidence in favor of the Big Bang Cosmic Microwave Background Radiation Abundance of Deuterium, Helium, Lithium, all cooked
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 informationThis is far scarier! Not recommended!
Cosmology AS7009, 2010 Lecture 1 Formal Information Organizer: Erik Zackrisson Room C6:1007 Telephone: 08-5537 8556 E-mail: ez@astro.su.se Course homepage: www.astro.su.se/~ez/kurs/cosmology10.html Outline
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 informationLecture 2. - Power spectrum of gravitational anisotropy - Temperature anisotropy from sound waves
Lecture 2 - Power spectrum of gravitational anisotropy - Temperature anisotropy from sound waves Bennett et al. (1996) COBE 4-year Power Spectrum The SW formula allows us to determine the 3d power spectrum
More informationFinal Exam. String theory. What are these strings? How big are they? Types of strings. String Interactions. Strings can vibrate in different ways
Final Exam Monday, May 8: 2:45-4:45 pm 2241 Chamberlin Note sheet: two double-sided pages Cumulative exam-covers all material, 40 questions 11 questions from exam 1 material 12 questions from exam 2 material
More informationWhat is the evidence that Big Bang really occurred
What is the evidence that Big Bang really occurred Hubble expansion of galaxies Microwave Background Abundance of light elements but perhaps most fundamentally... Darkness of the night sky!! The very darkness
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 informationCOSMIC MICROWAVE BACKGROUND Lecture I
COSMIC MICROWAVE BACKGROUND Lecture I Isabella Masina Univ. & INFN Ferrara, Italy CP3-Origins SDU, Denmark 18/10/2010 CP3-Origins SUGGESTED BIBLIOGRAPHY 1. W. Hu Lectures and animations http://background.uchicago.edu/~whu/physics/physics.html
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 information