Centre for Theoretical Physics Jamia Millia University New Delhi

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Centre for Theoretical Physics Jamia Millia University New Delhi 12/9/2018 QUINTESSENTIAL INFLATION Unification of inflation and late time acceleration M. SAMI Centre for Theoretical Physics Jamia Millia University New Delhi 12/9/2018 BRICS_2017

BRIEF OVER VIEW Inflation and Quintessence –Essential ingredients of 12/9/2018 BRIEF OVER VIEW Inflation and Quintessence –Essential ingredients of standard model. Unification : Quintessential inflation. Building Blocks. Model independent Estimates. Brane world models. Unification in standard FRW framework. 12/9/2018 BRICS_2017

Inconsistencies of standard model 12/9/2018 Inconsistencies of standard model EARLY TIMES: Flatness problem Primordial inhomogeneities INFLATION Horizon problem LATE TIMES: Age crisis 12/9/2018 BRICS_2017

AGE CRISIS IN HOT BIG BANG 12/9/2018 AGE CRISIS IN HOT BIG BANG Matter dominated universe: 12/9/2018 BRICS_2017

AGE CRISIS IN HOT BIG BANG 12/9/2018 AGE CRISIS IN HOT BIG BANG Let us ignore gravity for a moment : Present epoch: 12/9/2018 BRICS_2017

Quintessential inflation Model of reincarnation 12/9/2018 12/9/2018 BRICS_2017

12/9/2018 Tracker 12/9/2018 BRICS_2017

Absence of trackers: Thawing Models 12/9/2018 Absence of trackers: Thawing Models Phantom, Tachyon, Quintessence 12/9/2018 BRICS_2017

Quintessential inflation 12/9/2018 12/9/2018 BRICS_2017

Quintessential inflation 12/9/2018 Gumjudpai et al JCAP0506(2005) 12/9/2018 BRICS_2017

Model independent estimates 12/9/2018 Model independent estimates 12/9/2018 BRICS_2017

Model independent estimates 12/9/2018 Model independent estimates 12/9/2018 BRICS_2017

Gravitational Particle Production 12/9/2018 Gravitational Particle Production B.Spokoiny, PLB315,40(1993) Gravitational particle production misses the NC at least by two orders of magnitudes 12/9/2018 BRICS_2017

12/9/2018 INSTANT PREHEATING 12/9/2018 BRICS_2017

12/9/2018 INSTANT PREHEATING 12/9/2018 BRICS_2017

12/9/2018 Model Building Potentials steep at early times and shallow at late stages II. Potentials shallow at early stages and steep at late times B.Spokoiny, PLB315,40(1993) P.J.E. Peebles, A. Vilenkin, PRD 60(1999) V.Sahni, MS, T. Souradeep, PRD65(2001) K.Dimopoulos, F. Valle,astro-ph/0111417 W. Hossain et al, IJMPD24(2015) 12/9/2018 BRICS_2017

Quintessential inflation Brane world model 12/9/2018 Quintessential inflation Brane world model MS, V. Sahni, Phys. Rev. D 70, 083513 (2004); Phys. Rev. D 65, 023518 (2002); MS, N. Dadhich, T.Shiromizu, PLB568, 118(2003). MS, V. Sahni, Phys.Rev. D70 (2004) 083513 12/9/2018 BRICS_2017

Quintessential Inflation (instant preheating) 12/9/2018 Quintessential Inflation (instant preheating) 12/9/2018 BRICS_2017

OBSERVATIONAL CONSTRAINTS 12/9/2018 OBSERVATIONAL CONSTRAINTS 12/9/2018 BRICS_2017

GAUSS BONNET IN THE BULK 12/9/2018 GAUSS BONNET IN THE BULK effort to rescue the model J-F. Dufaux, J. Lidsey, Roy Maartens, MS, PR D70 (2004) 083525 12/9/2018 BRICS_2017

Gauss-Bonnet term in the bulk 12/9/2018 Gauss-Bonnet term in the bulk J-F. Dufaux, J. Lidsey, Roy Maartens, MS, PR D70 (2004) 083525 S. Tsujikawa, MS, Roy Maartens, PRD70 (2004) 063525 MS, V. Shani, PR D 70, 083513 (2004 ) 12/9/2018 BRICS_2017

Quintessential inflation Standard FRW Framework 12/9/2018 C.Wetterich, arXiv:1308.1019 A. Agarwal , MS, N. Singh, PL B770 (2017) 200-208 Wali Hossain, R. Myrzakulov, MS, E. Saridakas, arXiv:1402:6661. S.Ahmad,MS,Myrzakulov PRD 96, 063515 (2017) JCAP1706(2017),06,011 C.Q.Geng,C.C. Lee, MS,E.N.Saridakis, Alexei A Starobinsky 12/9/2018 BRICS_2017

Quintessential inflation Standard FRW Framework 12/9/2018 12/9/2018 BRICS_2017

12/9/2018 MODEL 12/9/2018 BRICS_2017

12/9/2018 INFLATION 12/9/2018 BRICS_2017

12/9/2018 INFLATION 12/9/2018 BRICS_2017

12/9/2018 INFLATION 12/9/2018 BRICS_2017

12/9/2018 12/9/2018 BRICS_2017

12/9/2018 12/9/2018 BRICS_2017

Successful model JCAP1706(2017),06,011 12/9/2018 Successful model JCAP1706(2017),06,011 C.Q.Geng,C.C. Lee, MS,E.N.Saridakis, Alexei A Starobinsky 12/9/2018 BRICS_2017

Post Inflationary Evolution 12/9/2018 Post Inflationary Evolution 12/9/2018 BRICS_2017

12/9/2018 UNIVERSE HISTORY 12/9/2018 BRICS_2017

12/9/2018 12/9/2018 BRICS_2017

12/9/2018 12/9/2018 BRICS_2017

12/9/2018 THANKS 12/9/2018 BRICS_2017

MODIFIED THEORIES OF GRAVITY 12/9/2018 MODIFIED THEORIES OF GRAVITY LARGE SCALE MODIFICATION Chameleon theories- f(R) Modified theories based upon Vainshtein screening Galileon theories Massive gravity Extra degrees of freedom: Scalar degree(s) of freedom Requirements Local physics be intact Cosmic acceleration 12/9/2018 BRICS_2017

SCALARON: Requirements 12/9/2018 SCALARON: Requirements DE: Solar Physics: 12/9/2018 BRICS_2017

12/9/2018 Chameleon Field 12/9/2018 BRICS_2017

MASS SCREENING OR FIFTH FORCE SUPPRESSION (Basic Idea) 12/9/2018 MASS SCREENING OR FIFTH FORCE SUPPRESSION (Basic Idea) Localized source: Chameleon or Symmetron 12/9/2018 BRICS_2017

12/9/2018 Kinetic suppression 12/9/2018 BRICS_2017

Chameleon versus Galileon(Vainshtein ) 12/9/2018 Chameleon versus Galileon(Vainshtein ) Chameleon Galileon Galileon Small distances: Large distances: 12/9/2018 BRICS_2017

12/9/2018 GR : 12/9/2018 BRICS_2017

12/9/2018 12/9/2018 BRICS_2017

12/9/2018 Chameleon at work R, M 12/9/2018 BRICS_2017

12/9/2018 Vainshtein at work GR 12/9/2018 BRICS_2017

Symmetron: Dark energy 12/9/2018 Symmetron: Dark energy 12/9/2018 BRICS_2017

Symmetron: Dark energy 12/9/2018 Symmetron: Dark energy Symmetry should break: Local gravity constraints 12/9/2018 BRICS_2017

Chameleon/Symmetron theories- 12/9/2018 Chameleon/Symmetron theories- No scope for self acceleration arXiv:1284612: J. Wang, L. Hui and J. Khoury arXiv: 1211.2289: K. Bamba, R. Gannouji, MS, To appear in JCAP 12/9/2018 BRICS_2017

Chameleon/Symmetron theories- 12/9/2018 Chameleon/Symmetron theories- No scope for self acceleration arXiv:1284612: J. Wang, L. Hui and J. Khoury arXiv: 1211.2289: K. Bamba, R. Gannouji, MS, To appear in JCAP 12/9/2018 BRICS_2017

Chameleon/Symmetron theories- 12/9/2018 Chameleon/Symmetron theories- No scope for self acceleration arXiv:1284612: J. Wang, L. Hui and J. Khoury arXiv: 1211.2289: K. Bamba, R. Gannouji, MS, To appear in JCAP 12/9/2018 BRICS_2017

Massive gravity---Motivation 12/9/2018 Massive gravity---Motivation 1939 : To write down the consistent relativistic equation for spin 2 field Now Cosmic acceleration 12/9/2018 BRICS_2017

Massive gravity—Pauli-Fierz(1939) 12/9/2018 Massive gravity—Pauli-Fierz(1939) 12/9/2018 BRICS_2017

12/9/2018 vDVZ discontinuity- 1970 12/9/2018 BRICS_2017

12/9/2018 vDVZ discontinuity- 1970 12/9/2018 BRICS_2017

12/9/2018 + : g 12/9/2018 BRICS_2017

VAINSHTEIN SCREENING(1972) 12/9/2018 VAINSHTEIN SCREENING(1972) GR 12/9/2018 BRICS_2017

Ghost---Boulware-Deser 12/9/2018 Ghost---Boulware-Deser 12/9/2018 BRICS_2017

Ghost---Boulware-Deser 12/9/2018 Ghost---Boulware-Deser 12/9/2018 BRICS_2017

dRGT Stuckelberg formalism C. De Rham,G. Gabadadze, 12/9/2018 Stuckelberg formalism dRGT C. De Rham,G. Gabadadze, A. Tolley, PRL106, 2011 12/9/2018 BRICS_2017

12/9/2018 Decoupling limit NO FRW cosmology 12/9/2018 BRICS_2017

Extended schemes G. Gabadadze et al, arXiv:1206.4253 12/9/2018 Extended schemes G. Gabadadze et al, arXiv:1206.4253 K. Bamba, Wali Hossain, Myrzakulov, Nojiri, MS, arXiv:1309..6413(to appear in PRD) R.Gannouji,,wali Hossain, MS, E. Saridakis, PRD87,123535(2013) 12/9/2018 BRICS_2017

12/9/2018 COSMIC ACCELERATION 12/9/2018 BRICS_2017