Aspects of massive gravity
|
|
- Sara Howard
- 6 years ago
- Views:
Transcription
1 Aspects of massive gravity Sébastien Renaux-Petel CNRS - IAP Paris Rencontres de Moriond,
2 Motivations for modifying General Relativity in the infrared Present acceleration of the Universe: {z } Dark Energy or Infra-Red modification of GR Way out of the (old) cosmological constant problem? Better understand GR
3 New degrees of freedom General Relativity: the only theory of an interactive massless helicity-2 field Weinberg, QFT Modifying GR means adding new degrees of freedom (dof) Examples : - scalar tensor: GR + explicit scalar field - f(r): GR + a scalar field in disguise. Identifying the new dof may be non-trivial. Today: example of massive gravity
4 Massive gravity One interesting IR modification: giving a mass to the graviton (of order the present Hubble scale) Motivation: weakens gravity on large scales and possibly degravitates the cosmological constant Massive gravity: a theory of an interactive massive spin-2 field. What is it? V e mr Several interesting pathologies to cure/phenomena with possible applications in other areas: strong classical nonlinearities, ghost instability, low cut-off EFT, IR/UV interplay, screening of long-range scalars... Reviews: Hinterbichler de Rham r obs bare
5 Complex history 1939 Fierz-Pauli 1970 van Dam, Veltman, Zakharov 1972 Vainshtein 1972 Boulware, Deser Linear ghost-free MG Discontinuity......resolved by non-linearities? Ghost at non-linear level 2003 Arkani-Hamed, Georgi, Schwartz Stückelberg method 2009 Babichev, Deffayet, Ziour Vainshtein mechanism works! 2010 de Rham, Gabadadze, Tolley Non-linear ghost-free MG
6 Ghost-free massive and bimetric gravity L MG = M 2 Pl 2 g R + m 2 K 2 K 2 µ + 3 (K )+ 4 (K ) K µ = µ gµ de Rham, Gabadadze, 10 de Rham, Gabadadze, Tolley, 10 In 4d (d dim), there is a 2-parameter family (d-2) of ghost-free theories of Lorentz-invariant massive gravity Absence of Boulware-Deser ghost has been proved exactly in many different languages de Rham, Gabadadze, Tolley, 10, 11, Hassan, Rosen, 11 Mirbabay, 11, Hassan, Schmidt-May, von Strauss, 12 Deffayet, Mourad, Zahariade, 12 And around any reference metric, even dynamical: bigravity µ! f µ Hassan, Rosen, Schmidt-May, 11 Hassan, Rosen, 11 Reformulation in terms of vielbeins and extension to multi-metric Hinterbichler, Rosen, 12, Noller et al 14 See talk by Blanchet
7 Degrees of freedom in massive gravity Mass term breaks diffeomorphism invariance of GR 2! 5 degrees of freedom General Relativity 1 massless spin-2: Massive Gravity 1 massive spin-2: - 2 helicity-2-2 helicity-2-2 helicity-1-1 helicity-0 The details are really only well known for a Minkowski reference metric, and around Minkowski space
8 Stückelberg trick Central idea: gauge-invariance is a redundancy of description. So any theory can be made gauge-invariant, with any gauge-invariance we like. We restore gauge invariance with the replacement: gauge-invariant under Vector example: L = 1 4 F µ F µ 1 2 m2 A µ A µ + A µ J µ L = 1 4 F µ F µ 1 2 m2 (A µ µ ) 2 + A µ J µ J µ A µ µ, = breaks the U(1) gauge invariance A µ! A µ µ The original theory is simply a gauge-fixed version of the gaugeinvariant theory. Same physical content and same predictions. Stückelberg, 1938
9 Stückelberg for massive gravity Gauge-invariance of GR: full diffeomorphism invariance: f @x f (g(x)) We restore gauge-invariance in MG with the introduction of 4 scalar fields and the replacement: Arkani-Hamed et al, 03 Reference metric f µ (x)! f µ (x) =f (Y µ Y {z } f µ g µ fµ transforms like a metric tensor under diff transforms like a scalar under diff Original Lagrangian recovered in the unitary gauge Y = x
10 Stückelberg for massive gravity Expansion Y = x A with reference metric f µ = µ Metric fluctuation: h µ g µ µ! H µ = h µ µ A A µ A Additional replacement: A µ! A µ µ H µ = h µ µ A A µ µ
11 Stückelberg for massive gravity Decoupling limit: concentrates on the new interactions beyond GR at the lowest energy scale In the decoupling limit, the massive gravity Lagrangian is invariant under h µ µ µ A µ µ = 0 GR-like Maxwell-like In the decoupling limit, h µ,a µ, encode the helicity-2, helicity-1 and scalar dofs of the theory
12 Massive gravity on de Sitter Reference metric: Minkowski de Sitter. Still a maximally symmetric spacetime (same amount of symmetry). Study the theory around de Sitter spacetime How the ds reference metric affects the helicity-0 mode is well-known at linear order: m 4 ( ) 2 m 2 m 2 (d 2)H 2 ( ) 2 Higuchi, 87, Deser, Waldron, 01 Grisa, Sorbo 09 Higuchi bound: m 2 > (d 2)H 2 The helicity 0-mode disappears completely, at the linear level, for m 2 =(d 2)H 2 (partially massless)
13 Strategy de Rham, RP, Embed d-ds into (d+1)-minkowski... ds Y ds 2 d+1 = e 2HY dy 2 + (ds) µ dx µ dx = AB dz A dz B Y =0... and copy the procedure on Minkowski Minkowski Introduction of Stückelberg fields: µ dx µ dx = ( AB dz A dz B ) projected = MN A M B N dz A dz B projected = MN µ M N dx µ dx M = Z M MN N behaves as a scalar field in the decoupling limit and captures the physics of the helicity-0 mode
14 Decoupling limit Covariantized metric fluctuation in terms of the helicity-0 mode H µ = h µ +2 µ 2 µ with µ = r µ r + H 2 ( ) 2 ( µ µ ) ( µ µ ) + O(H 4 ) Decoupling limit: M Pl!1 m! 0, (m 2 M H! 0 H m fixed (d 2)/2 Pl ) 2/(d+2) fixed Suppress nonlinearities of GR Keep finite the lowest energy interactions of the helicity-0 mode Satisfy the Higuchi bound Study the Partially Massles case
15 Decoupling limit L (dec) = X n c n ( n,d,h 2 /m 2 )L (n) Gal (@ ) 2 (@ 2 ) n 2 (d+2)/2 n 2 non-diagonalizable + terms mixing h and The kinetic term vanishes for m 2 =(d 2)H 2 (known) Remarkably, all the other interactions vanish simultaneously for 3 = 1 3 d 1 d 2 n = 1 n n 1 for n 4 Helicity-0 mode disappears completely in the DL! Unique candidate theory for partially massless gravity. Prompted lots of studies: the helicity-0 mode reappears at higher energy de Rham et al 13
16 Another limitation of the decoupling limit, in screening mechanisms Challenge: Modifications of GR on cosmological scales but recovery of GR in the Solar System Modified Gravity Screening mechanisms are necessary, which hide the additional dof. Chameleon, Symmetron, Vainshtein screening etc See talks by Babichev, Minazzoli and Mota General Relativity
17 Vainshtein mechanism and decoupling limit Most studies of the Vainshtein mechanism consider static and spherically symmetric configurations, and rely on the decoupling limit Particular model: minimal model, with 3 = 1 3, 4 = 1 12 has no interactions in the decoupling limit. No non-linearities, so no Vainshtein mechanism? e.g. Koyama, Niz & Tasinato Not necessarily. Simply decoupling limit is not enough here. Need to study the structure of interactions at higher energies
18 Vainshtein mechanism and decoupling limit Static and spherically symmetric M Pl Generic M Pl m 2n n+1 RP, Tower of interactions, of energy n+1 3n+1! M Pl m 2 1/3 n!1 Hard to decipher whether the Vainshtein mechanism is effective = M Pl m 2 1/3 Energy scales of interactions in the minimal model of massive gravity Study of structure of solutions: no recovery of GR Decoupling limit is not enough + Static spherically symmetric configurations can be misleading due to their high degree of symmetry
19 Conclusion Identifying the new degrees of freedom in modified gravity can be non-trivial Identification of degrees of freedom is not known in massive gravity with a general reference metric and background metric See talk by Bernard Some insights for maximally symmetric reference metrics: (A)dS de Rham, RP Importance of studying screening mechanisms beyond static spherically symmetric configurations (small breaking in the Solar System, and walls an filaments in Large Scale Structure) Time-dependence: Babichev et al 11 Shape-dependence: Bloomfield et al 14, Bloomfield, Burrage & RP 15, to appear
A First Class Formulation of Massive Gravity - or Massive Gravity as a Gauge Theory
A First Class Formulation of Massive Gravity - or Massive Gravity as a Gauge Theory Andrew J Tolley Case Western Reserve University Based on work to appear Why Massive Gravity? Massive Gravity Theories
More informationIntroduction to the Vainshtein mechanism
Introduction to the Vainshtein mechanism Eugeny Babichev LPT, Orsay School Paros 23-28 September 2013 based on arxiv:1107.1569 with C.Deffayet OUTLINE Introduction and motivation k-mouflage Galileons Non-linear
More informationGravitational Waves. GR: 2 polarizations
Gravitational Waves GR: 2 polarizations Gravitational Waves GR: 2 polarizations In principle GW could have 4 other polarizations 2 vectors 2 scalars Potential 4 `new polarizations Massive Gravity When
More informationClaudia de Rham July 30 th 2013
Claudia de Rham July 30 th 2013 GR has been a successful theory from mm length scales to Cosmological scales Then why Modify Gravity? Why Modify Gravity in the IR? Late time acceleration & CC problem First
More informationNonlinear massive gravity and Cosmology
Nonlinear massive gravity and Cosmology Shinji Mukohyama (Kavli IPMU, U of Tokyo) Based on collaboration with Antonio DeFelice, Emir Gumrukcuoglu, Chunshan Lin Why alternative gravity theories? Inflation
More informationNew Model of massive spin-2 particle
New Model of massive spin-2 particle Based on Phys.Rev. D90 (2014) 043006, Y.O, S. Akagi, S. Nojiri Phys.Rev. D90 (2014) 123013, S. Akagi, Y.O, S. Nojiri Yuichi Ohara QG lab. Nagoya univ. Introduction
More informationNon-local Modifications of Gravity and Cosmic Acceleration
Non-local Modifications of Gravity and Cosmic Acceleration Valeri Vardanyan Cargese-2017 In collaboration with: Yashar Akrami Luca Amendola Alessandra Silvestri arxiv:1702.08908 Late time cosmology The
More informationMassive gravity and cosmology
Massive gravity and cosmology Shinji Mukohyama (Kavli IPMU, U of Tokyo) Based on collaboration with Antonio DeFelice, Emir Gumrukcuoglu, Kurt Hinterbichler, Chunshan Lin, Mark Trodden Why alternative gravity
More informationCosmological perturbations in nonlinear massive gravity
Cosmological perturbations in nonlinear massive gravity A. Emir Gümrükçüoğlu IPMU, University of Tokyo AEG, C. Lin, S. Mukohyama, JCAP 11 (2011) 030 [arxiv:1109.3845] AEG, C. Lin, S. Mukohyama, To appear
More informationBlack holes in massive gravity
Black holes in massive gravity Eugeny Babichev LPT, Orsay IAP PARIS, MARCH 14 2016 REVIEW: in collaboration with: R. Brito, M. Crisostomi, C. Deffayet, A. Fabbri,P. Pani, ARXIV:1503.07529 1512.04058 1406.6096
More informationMassive gravity and cosmology
Massive gravity and cosmology Shinji Mukohyama Yukawa Institute for Theoretical Physics Kyoto University Based on collaborations with Katsuki Aoki, Antonio DeFelice, Garrett Goon, Emir Gumrukcuoglu, Lavinia
More informationMassive gravity and cosmology
Massive gravity and cosmology Shinji Mukohyama (YITP Kyoto) Based on collaboration with Antonio DeFelice, Garrett Goon, Emir Gumrukcuoglu, Lavinia Heisenberg, Kurt Hinterbichler, David Langlois, Chunshan
More informationOn the uniqueness of Einstein-Hilbert kinetic term (in massive (multi-)gravity)
On the uniqueness of Einstein-Hilbert kinetic term (in massive (multi-)gravity) Andrew J. Tolley Case Western Reserve University Based on: de Rham, Matas, Tolley, ``New Kinetic Terms for Massive Gravity
More informationMassive gravity meets simulations?
Massive gravity meets simulations? Kazuya Koyama University of Portsmouth Non-linear massive gravity theory (de Rham, Gadadadze & Tolley 10) Two key features Self-acceleration A graviton mass accounts
More informationLorentz Center workshop Non-Linear Structure in the Modified Universe July 14 th Claudia de Rham
Lorentz Center workshop Non-Linear Structure in the Modified Universe July 14 th 2014 Claudia de Rham Modified Gravity Lorentz-Violating LV-Massive Gravity Ghost Condensate Horava- Lifshitz Cuscuton Extended
More informationVainshtein mechanism. Lecture 3
Vainshtein mechanism Lecture 3 Screening mechanism Screening mechanisms The fifth force should act only on large scales and it should be hidden on small scales This implies that these mechanisms should
More informationBimetric Massive Gravity
Bimetric Massive Gravity Tomi Koivisto / Nordita (Stockholm) 21.11.2014 Outline Introduction Bimetric gravity Cosmology Matter coupling Conclusion Motivations Why should the graviton be massless? Large
More informationHiguchi VS Vainshtein
Higuchi VS Vainshtein ArXiv: 1206.3852+ soon to appear. Matteo Fasiello and Andrew J. Tolley Case Western Reserve University Outline The Higuchi bound The Vainshtein mechanism Higuchi vs Vainshtein drgt
More informationNon-local infrared modifications of gravity and dark energy
Non-local infrared modifications of gravity and dark energy Michele Maggiore Los Cabos, Jan. 2014 based on M. Jaccard, MM and E. Mitsou, 1305.3034, PR D88 (2013) MM, arxiv: 1307.3898 S. Foffa, MM and E.
More informationOn the Vainshtein Mechanism
Gustavo Niz University of Guanajuato University of Guanajuato University of Guanajuato Leon Content Motivation The Vainshtein Mechanism Basics Exploring solutions and stability (perts) Relaxing symmetry
More informationMASAHIDE YAMAGUCHI. Perturbations of Cosmological and Black Hole Solutions in Massive gravity and Bi-gravity. (Tokyo Institute of Technology)
Perturbations of Cosmological and Black Hole Solutions in Massive gravity and Bi-gravity MASAHIDE YAMAGUCHI (Tokyo Institute of Technology) 10/12/15@KICP, Exploring Theories of Modified Gravity arxiv:1509.02096,
More informationMinimal theory of massive gravity
Minimal theory of massive gravity Antonio De Felice Yukawa Institute for Theoretical Physics, YITP, Kyoto U. 2-nd APCTP-TUS Workshop Tokyo, Aug 4, 2015 [with prof. Mukohyama] Introduction drgt theory:
More informationTopics on Galileons and generalized Galileons. Pacific 2016, Moorea, Sept the 13th. 1. What are scalar Galileons? 2. What are they useful for?
Topics on Galileons and generalized Galileons Pacific 2016, Moorea, Sept the 13th 1. What are scalar Galileons? Cédric Deffayet (IAP and IHÉS, CNRS Paris Bures sur Yvette) 2. What are they useful for?
More informationarxiv: v1 [hep-th] 4 May 2015
New Branches of Massive Gravity D. Comelli a, M. Crisostomi b, K. Koyama b, L. Pilo c,d and G. Tasinato e a INFN, Sezione di Ferrara, I-35131 Ferrara, Italy b Institute of Cosmology and Gravitation, University
More informationDark energy and nonlocal gravity
Dark energy and nonlocal gravity Michele Maggiore Vacuum 2015, Barcelona based on Jaccard, MM, Mitsou, PRD 2013, 1305.3034 MM, PRD 2014, 1307.3898 Foffa, MM, Mitsou, PLB 2014, 1311.3421 Foffa, MM, Mitsou,
More informationarxiv: v3 [hep-th] 30 May 2018
arxiv:1010.0246v3 [hep-th] 30 May 2018 Graviton mass and cosmological constant: a toy model Dimitrios Metaxas Department of Physics, National Technical University of Athens, Zografou Campus, 15780 Athens,
More informationFate of homogeneous and isotropic solutions in massive gravity
Fate of homogeneous and isotropic solutions in massive gravity A. Emir Gümrükçüoğlu Kavli IPMU, University of Tokyo (WPI) AEG, Chunshan Lin, Shinji Mukohyama, JCAP 11 (2011) 030 AEG, Chunshan Lin, Shinji
More informationMoriond 2015 Gravitation Highlights (first part)
Rencontres de Moriond Gravitation: 100 years after GR Moriond 2015 Gravitation Highlights (first part) Luc Blanchet Gravitation et Cosmologie (GRεCO) Institut d Astrophysique de Paris 28 mars 2015 Luc
More informationStable violation of the null energy condition and non-standard cosmologies
Paolo Creminelli (ICTP, Trieste) Stable violation of the null energy condition and non-standard cosmologies hep-th/0606090 with M. Luty, A. Nicolis and L. Senatore What is the NEC? Energy conditions: Singularity
More information«Massive Gravity» (some of its open problems)
A short review on Cédric Deffayet (APC, Paris) «Massive Gravity» (some of its open problems) 1. Pauli-Fierz (PF) theory 2. Non linear PF theory 3. DGP Model Journée ANR Math-GR Méthodes Mathématiques pour
More informationarxiv: v1 [hep-th] 1 Oct 2008
Cascading Gravity and Degravitation Claudia de Rham Dept. of Physics & Astronomy, McMaster University, Hamilton ON, Canada Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada arxiv:0810.069v1
More informationRecent developments in bimetric theory
Review: Updated March 31, 2016 Recent developments in bimetric theory arxiv:1512.00021v2 [hep-th] 30 Mar 2016 Angnis Schmidt-May, 1 Mikael von Strauss 2 1 Institut für Theoretische Physik, Eidgenössische
More informationD. f(r) gravity. φ = 1 + f R (R). (48)
5 D. f(r) gravity f(r) gravity is the first modified gravity model proposed as an alternative explanation for the accelerated expansion of the Universe [9]. We write the gravitational action as S = d 4
More informationTesting Gravity Cosmologically
Testing Gravity Cosmologically Philippe Brax IPhT Saclay Asphon Toulouse March 2013 The Big Puzzle How do we know? measuring distances! Absolute luminosity. Received flux: what we see in the telescope
More informationwith EFTCAMB: The Hořava gravity case
Testing dark energy and modified gravity models with EFTCAMB: The Hořava gravity case Noemi Frusciante UPMC-CNRS, Institut d Astrophysique de Paris, Paris ERC-NIRG project no.307934 Based on NF, M. Raveri,
More informationBimetric Theory (The notion of spacetime in Bimetric Gravity)
Bimetric Theory (The notion of spacetime in Bimetric Gravity) Fawad Hassan Stockholm University, Sweden 9th Aegean Summer School on Einstein s Theory of Gravity and its Modifications Sept 18-23, 2017,
More informationTesting GR on Cosmological Scales
Testing GR on Cosmological Scales f(r) and DGP Worked Examples Wayne Hu Harvard Smithsonian Conference May 2012 Outline Testing Gravity Cosmologically f(r) (chameleon) and DGP (Vainshtein) worked examples
More informationSuperfluids and the Cosmological Constant Problem
Superfluids and the Cosmological Constant Problem Adam R. Solomon Carnegie Mellon University With Justin Khoury & Jeremy Sakstein (UPenn) arxiv:1805.05937 (JCAP) Outline 1. Intro to the cosmological constant
More informationGalileon Cosmology ASTR448 final project. Yin Li December 2012
Galileon Cosmology ASTR448 final project Yin Li December 2012 Outline Theory Why modified gravity? Ostrogradski, Horndeski and scalar-tensor gravity; Galileon gravity as generalized DGP; Galileon in Minkowski
More informationBraneworlds: gravity & cosmology. David Langlois APC & IAP, Paris
Braneworlds: gravity & cosmology David Langlois APC & IAP, Paris Outline Introduction Extra dimensions and gravity Large (flat) extra dimensions Warped extra dimensions Homogeneous brane cosmology Brane
More informationMinimalism in Modified Gravity
Minimalism in Modified Gravity Shinji Mukohyama (YITP, Kyoto U) Based on collaborations with Katsuki Aoki, Nadia Bolis, Antonio De Felice, Tomohiro Fujita, Sachiko Kuroyanagi, Francois Larrouturou, Chunshan
More informationQUINTESSENTIAL INFLATION
QUINTESSENTIAL INFLATION Relic gravity waves M. SAMI Centre for Theoretical Physics Jamia Millia University New Delhi GC-2018 BRIEF OVER VIEW Acceleration Generic feature of cosmic history Late time acceleration:
More informationThe State of Theory. Mark Trodden University of Pennsylvania. Testing Gravity 2015 Simon Fraser University
Mark Trodden University of Pennsylvania Testing Gravity 2015 Simon Fraser University Overview Motivations - background, and the problem of cosmic acceleration Why consider Modified gravity? What are the
More informationDark Energy Theory. Mark Trodden University of Pennsylvania
Mark Trodden University of Pennsylvania 2015: the Spacetime Odyssey Continues Nordita, Stockholm, June 2, 2015 Overview Motivations - background, and the problem of cosmic acceleration Some possible approaches:
More informationGravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward
Gravitational mechanisms to self-tune the cosmological constant: obstructions and ways forward Florian Niedermann, and Antonio Padilla, School of Physics and Astronomy, University of Nottingham, Nottingham
More informationDark Energy Screening Mechanisms. Clare Burrage University of Nottingham
Dark Energy Screening Mechanisms Clare Burrage University of Nottingham The expansion of the Universe is accelerating "for the discovery of the accelerating expansion of the Universe through observations
More informationThe nonlinear dynamical stability of infrared modifications of gravity
The nonlinear dynamical stability of infrared modifications of gravity Aug 2014 In collaboration with Richard Brito, Vitor Cardoso and Matthew Johnson Why Study Modifications to Gravity? General relativity
More informationLearning with Pierre: from branes to gravity
Learning with Pierre: from branes to gravity Cédric Deffayet (IAP and IHÉS, CNRS Paris) APC, May the 3rd 2018 Les Houches 1999 «the primordial Universe» Frank Thuiller 1991 (Sur certains aspects géométriques
More informationDegenerate Higher-Order Scalar-Tensor (DHOST) theories. David Langlois (APC, Paris)
Degenerate Higher-Order Scalar-Tensor (DHOST) theories David Langlois (APC, Paris) Higher order scalar-tensor theories Usual theories (Brans-Dicke, k-essence, ): L(r, ) Generalized theories: L(r µ r, r,
More informationDark Energy to Modified Gravity
Dark Energy to Modified Gravity Philippe Brax IPhT Saclay Workshop Invisibles July 2014 Paris The Big Puzzle Acceleration of the expansion Dark Energy? Modified gravity on large enough scales? The acceleration
More informationHealthy theories beyond Horndeski
Healthy theories beyond Horndeski Jérôme Gleyzes, IPhT CEA Saclay with D. Langlois, F. Piazza and F. Vernizzi, arxiv:1404.6495, arxiv:1408.1952 ITP Heidelberg 26/11/14 Introduction to Horndeski Going safely
More informationMomentum relaxation in holographic massive gravity
Momentum relaxation in holographic massive gravity Richard Davison Lorentz Institute, Leiden Based on 1306.5792 [hep-th] Gauge/Gravity Duality 2013, Munich July 30 th 2013 Introduction and motivation We
More informationSynergizing Screening Mechanisms on Different Scales
Synergizing Screening Mechanisms on Different Scales Jeremy Sakstein University of Pennsylvania Probing the dark sector and general relativity at all scales CERN 17 th August 2017 Or. What should astrophysical
More informationGeneral Relativity. IV Escuela Mexicana de Cuerdas y Supersimetría. Gustavo Niz June 2015
General Relativity IV Escuela Mexicana de Cuerdas y Supersimetría Gustavo Niz June 2015 General Relativity Based on: Sean Carrol's notes (short ones) John Stewart course/book Personal notes/talks GR as
More informationQuantum discontinuity between zero and infinitesimal graviton mass with a Λ term. Abstract
MCTP-01-06 hep-th/010093 Quantum discontinuity between zero and infinitesimal graviton mass with a Λ term F. A. Dilkes, M. J. Duff, James T. Liu and H. Sati Michigan Center for Theoretical Physics Randall
More informationA New Approach to the Cosmological Constant Problem, and Dark Energy. Gregory Gabadadze
A New Approach to the Cosmological Constant Problem, and Dark Energy Gregory Gabadadze New York University GG, Phys. Lett. B, 2014, and work in preparation with Siqing Yu October 12, 2015 Einstein s equations
More informationPhysics Letters B 711 (2012) Contents lists available at SciVerse ScienceDirect. Physics Letters B.
Physics Letters B 711 01) 190 195 Contents lists available at SciVerse ScienceDirect Physics Letters B www.elsevier.com/locate/physletb Ghost free massive gravity in the Stücelberg language Claudia de
More informationCosmological and astrophysical applications of vector-tensor theories
Cosmological and astrophysical applications of vector-tensor theories Shinji Tsujikawa (Tokyo University of Science) Collaboration with A.De Felice, L.Heisenberg, R.Kase, M.Minamitsuji, S.Mukohyama, S.
More informationA Panorama of Modified Gravity. Philippe Brax IPhT Saclay (associate researcher IAP)
A Panorama of Modified Gravity Philippe Brax IPhT Saclay (associate researcher IAP) The Universe accelerates: why? Maybe a landscape of Universes? Or not? The acceleration of the Universe could also be
More informationMassive Photon and Cosmology
Massive Photon and Cosmology Phillial Oh Sungkyunkwan University KIAS 2014. 6. Contents I. Introduction II. Massive QED and Cosmology III. Massive Dark Photon and Cosmology IV. Conslusions Massive Photon:
More informationTests of cosmological gravity
Tests of cosmological gravity Jeremy Sakstein University of Pennsylvania Astrophysics Seminar UC Irvine 23 rd January 2018 Who am I? Particle-cosmology (baryogenesis, early universe) Modified gravity (dark
More informationParticle Physics and Cosmology III: Acceleration, Gravity & Extra Dimensions
Particle Physics and Cosmology III: Acceleration, Gravity & Extra Dimensions Mark Trodden Center for Particle Cosmology University of Pennsylvania Third Lecture Puerto Vallarta Mexico 1/14/2011 Problems
More informationarxiv: v2 [hep-th] 6 Dec 2013
Cent. Eur. J. Phys. 1-16 Author version Central European Journal of Physics Sarah Folkerts 1, Cristiano Germani 1 and Nico Wintergerst 1 arxiv:1310.0453v2 [hep-th] 6 Dec 2013 1 Arnold Sommerfeld Center,
More informationSearching for dark energy in the laboratory. Clare Burrage University of Nottingham
Searching for dark energy in the laboratory Clare Burrage University of Nottingham Outline What is dark energy? How does it interact with matter? Screening mechanisms: non-linear dark energy Searching
More informationarxiv: v2 [astro-ph.co] 16 Aug 2013
arxiv:1204.5492v2 [astro-ph.co] 16 Aug 2013 Galileons in the Sky Claudia de Rham Départment de Physique Théorique and Center for Astroparticle Physics, Université de Genève, 24 Quai E. Ansermet, CH-1211
More informationNull Energy Condition violations in bimetric gravity
Null Energy Condition violations in bimetric gravity arxiv:1206.3814v2 [gr-qc] 27 Jun 2012 Valentina Baccetti, Prado Martin-Moruno, and Matt Visser School of Mathematics, Statistics, and Operations Research,
More informationPoS(Corfu2012)053. A new road to massive gravity? Eric Bergshoeff, Marija Kovačević, Lorena Parra and Thomas Zojer
, Marija Kovačević, Lorena Parra and Thomas Zojer Centre for Theoretical Physics, University of Groningen, 9747 AG Groningen, The Netherlands E-mail: e.a.bergshoeff@rug.nl, m.kovacevic@rug.nl, l.parra.rodriguez@rug.nl,
More informationarxiv: v2 [hep-th] 23 Sep 2007
Ghosts in the self-accelerating universe Kazuya Koyama Institute of Cosmology & Gravitation, University of Portsmouth, Portsmouth PO1 2EG, UK arxiv:0709.2399v2 [hep-th] 23 Sep 2007 The self-accelerating
More informationA Panorama of Modified Gravity. Philippe Brax IPhT Saclay
A Panorama of Modified Gravity Philippe Brax IPhT Saclay The Universe accelerates: why? Maybe a landscape of Universes? Or not? The acceleration of the Universe could also be due to many mundane causes:
More informationQuantum Gravity and the Renormalization Group
Nicolai Christiansen (ITP Heidelberg) Schladming Winter School 2013 Quantum Gravity and the Renormalization Group Partially based on: arxiv:1209.4038 [hep-th] (NC,Litim,Pawlowski,Rodigast) and work in
More informationarxiv: v2 [hep-th] 12 Aug 2010
NYU-TH-06/13/10 August 13, 2010 Generalization of the Fierz-Pauli Action arxiv:1007.0443v2 [hep-th] 12 Aug 2010 Claudia de Rham 1 and Gregory Gabadadze 2 1 Départment de Physique Théorique, Université
More informationTowards a manifestly diffeomorphism invariant Exact Renormalization Group
Towards a manifestly diffeomorphism invariant Exact Renormalization Group Anthony W. H. Preston University of Southampton Supervised by Prof. Tim R. Morris Talk prepared for UK QFT-V, University of Nottingham,
More informationManifestly diffeomorphism invariant classical Exact Renormalization Group
Manifestly diffeomorphism invariant classical Exact Renormalization Group Anthony W. H. Preston University of Southampton Supervised by Prof. Tim R. Morris Talk prepared for Asymptotic Safety seminar,
More informationarxiv: v2 [hep-th] 15 Nov 2010
NYU-TH-09/18/10 October 25, 2018 Cosmic Acceleration and the Helicity-0 Graviton arxiv:1010.1780v2 [hep-th] 15 Nov 2010 Claudia de Rham a, Gregory Gabadadze b, Lavinia Heisenberg a and David Pirtskhalava
More informationSignatures of MG on. linear scales. non- Fabian Schmidt MPA Garching. Lorentz Center Workshop, 7/15/14
Signatures of MG on non- linear scales Fabian Schmidt MPA Garching Lorentz Center Workshop, 7/15/14 Tests of gravity Smooth Dark Energy (DE): unique prediction for growth factor given w(a) Use evolution
More informationGalileons. Axions and the Low Energy Frontier. Philippe Brax IPhT Saclay
Galileons Axions and the Low Energy Frontier Philippe Brax IPhT Saclay Comment le sait-on? Mesure de distances! Dark Energy: anything which leads to the late time acceleration of the expansion of the Universe!
More informationStatus of Hořava Gravity
Status of Institut d Astrophysique de Paris based on DV & T. P. Sotiriou, PRD 85, 064003 (2012) [arxiv:1112.3385 [hep-th]] DV & T. P. Sotiriou, JPCS 453, 012022 (2013) [arxiv:1212.4402 [hep-th]] DV, arxiv:1502.06607
More informationDark energy & Modified gravity in scalar-tensor theories. David Langlois (APC, Paris)
Dark energy & Modified gravity in scalar-tensor theories David Langlois (APC, Paris) Introduction So far, GR seems compatible with all observations. Several motivations for exploring modified gravity Quantum
More informationAn all-scale exploration of alternative theories of gravity. Thomas P. Sotiriou SISSA - International School for Advanced Studies, Trieste
An all-scale exploration of alternative theories of gravity Thomas P. Sotiriou SISSA - International School for Advanced Studies, Trieste General Outline Beyond GR: motivation and pitfalls Alternative
More informationModified Gravity and the Cascading DGP model
Modified Gravity and the Cascading DGP model Fulvio Sbisà Universidade Federal do Espìrito Santo, Vitòria, ES, Brazil UFES, Vitòria, 04/03/2016 in collaboration with Kazuya Koyama Outline 1 The cosmic
More informationds/cft Contents Lecturer: Prof. Juan Maldacena Transcriber: Alexander Chen August 7, Lecture Lecture 2 5
ds/cft Lecturer: Prof. Juan Maldacena Transcriber: Alexander Chen August 7, 2011 Contents 1 Lecture 1 2 2 Lecture 2 5 1 ds/cft Lecture 1 1 Lecture 1 We will first review calculation of quantum field theory
More informationNonlocal gravity and comparison with cosmological datasets
Nonlocal gravity and comparison with cosmological datasets Michele Maggiore Cosmology on Safari, Jan. 2015 based on Jaccard, MM, Mitsou, PRD 2013, 1305.3034 MM, PRD 2014, 1307.3898 Foffa, MM, Mitsou, PLB
More informationarxiv: v2 [hep-th] 7 Jan 2016
Hairy black holes in scalar extended massive gravity arxiv:1510.0508v [hep-th] 7 Jan 016 Andrew J. Tolley, 1, De-Jun Wu,, and Shuang-Yong Zhou 1, 1 Department of Physics, Case Western Reserve University,
More informationConcistency of Massive Gravity LAVINIA HEISENBERG
Universite de Gene ve, Gene ve Case Western Reserve University, Cleveland September 28th, University of Chicago in collaboration with C.de Rham, G.Gabadadze, D.Pirtskhalava What is Dark Energy? 3 options?
More informationInflation in Flatland
Inflation in Flatland Austin Joyce Center for Theoretical Physics Columbia University Kurt Hinterbichler, AJ, Justin Khoury, 1609.09497 Theoretical advances in particle cosmology, University of Chicago,
More informationGravity vs Yang-Mills theory. Kirill Krasnov (Nottingham)
Gravity vs Yang-Mills theory Kirill Krasnov (Nottingham) This is a meeting about Planck scale The problem of quantum gravity Many models for physics at Planck scale This talk: attempt at re-evaluation
More informationGravitational Waves versus Cosmological Perturbations: Commentary to Mukhanov s talk
Gravitational Waves versus Cosmological Perturbations: Commentary to Mukhanov s talk Lukasz Andrzej Glinka International Institute for Applicable Mathematics and Information Sciences Hyderabad (India)
More informationAspects of Spontaneous Lorentz Violation
Aspects of Spontaneous Lorentz Violation Robert Bluhm Colby College IUCSS School on CPT & Lorentz Violating SME, Indiana University, June 2012 Outline: I. Review & Motivations II. Spontaneous Lorentz Violation
More informationOne Loop Tests of Higher Spin AdS/CFT
One Loop Tests of Higher Spin AdS/CFT Simone Giombi UNC-Chapel Hill, Jan. 30 2014 Based on 1308.2337 with I. Klebanov and 1401.0825 with I. Klebanov and B. Safdi Massless higher spins Consistent interactions
More informationCan you detect dark energy in the laboratory? Clare Burrage University of Nottingham
Can you detect dark energy in the laboratory? Clare Burrage University of Nottingham 2 (Planck 2013 Results. XVI. Cosmological Parameters) The Universe today 3 Credit: ESA/Planck The cosmological constant
More informationChris Verhaaren Joint Theory Seminar 31 October With Zackaria Chacko, Rashmish Mishra, and Simon Riquelme
Chris Verhaaren Joint Theory Seminar 31 October 2016 With Zackaria Chacko, Rashmish Mishra, and Simon Riquelme It s Halloween A time for exhibiting what some find frightening And seeing that it s not so
More informationTesting Gravity using Astrophysics
Testing Gravity using Astrophysics Jeremy Sakstein Institute of Cosmology and Gravitation, Portsmouth ICG-KASI collaboration workshop 17 th September 2015 Things I would have said at the start of the week
More informationRobustness of GR, Attempts to Modify Gravity
Robustness of GR, Attempts to Modify Gravity Lecturer: Prof. Nima Arkani-Hamed Transcriber: Alexander Chen August 7, 2011 Contents 1 Lecture 1 2 2 Lecture 2 6 3 Lecture 3 10 4 Lecture 4 14 1 Attempts to
More informationCosmology in generalized Proca theories
3-rd Korea-Japan workshop on dark energy, April, 2016 Cosmology in generalized Proca theories Shinji Tsujikawa (Tokyo University of Science) Collaboration with A.De Felice, L.Heisenberg, R.Kase, S.Mukohyama,
More informationPerturbations of Cosmological and Black hole solutions
Perturbations of Cosmological and Black hole solutions in Bi-Gravity Daisuke Yoshida, Tokyo Institute of Technology Based on collaboration with Tsutomu Kobayashi, Masaru Siino, Masahide Yamaguchi (In progress)
More informationObservational evidence and cosmological constant. Kazuya Koyama University of Portsmouth
Observational evidence and cosmological constant Kazuya Koyama University of Portsmouth Basic assumptions (1) Isotropy and homogeneity Isotropy CMB fluctuation ESA Planck T 5 10 T Homogeneity galaxy distribution
More informationTesting Gravity using Astrophysics
Testing Gravity using Astrophysics Jeremy Sakstein Institute of Cosmology and Gravitation, Portsmouth Department of Applied Mathematics and Theoretical Physics, University of Cambridge 9 th May 2016 Why
More informationInflationary Massive Gravity
New perspectives on cosmology APCTP, 15 Feb., 017 Inflationary Massive Gravity Misao Sasaki Yukawa Institute for Theoretical Physics, Kyoto University C. Lin & MS, PLB 75, 84 (016) [arxiv:1504.01373 ]
More informationIntroduction to Modified Gravity and Potential Problems due to Non-linearity. Example: Massive Gravity. Analogy: Nonlinear Proca Field.
Ong Yen Chin 王元君 Krakow 53rd School of Theoretical Physics, Conformal Symmetry and Perspectives in Quantum and Mathematical Gravity. June 28- July 7, 2013. Introduction to Modified Gravity and Potential
More informationCOLA with scale dependent growth: applications to modified gravity and massive neutrinos
COLA with scale dependent growth: applications to modified gravity and massive neutrinos Kazuya Koyama Institute of Cosmology and Gravitation, University of Portsmouth Curvature Psaltis Living Rev. Relativity
More information