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Centre for Theoretical Physics Jamia Millia University New Delhi

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Presentation on theme: "Centre for Theoretical Physics Jamia Millia University New Delhi"— Presentation transcript:

1 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

2 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

3 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

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

5 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

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

7 12/9/2018 Tracker 12/9/2018 BRICS_2017

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

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

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

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

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

13 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

14 12/9/2018 INSTANT PREHEATING 12/9/2018 BRICS_2017

15 12/9/2018 INSTANT PREHEATING 12/9/2018 BRICS_2017

16 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/ W. Hossain et al, IJMPD24(2015) 12/9/2018 BRICS_2017

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

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

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

20 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) 12/9/2018 BRICS_2017

21 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) S. Tsujikawa, MS, Roy Maartens, PRD70 (2004) MS, V. Shani, PR D 70, (2004 ) 12/9/2018 BRICS_2017

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

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

24 12/9/2018 MODEL 12/9/2018 BRICS_2017

25 12/9/2018 INFLATION 12/9/2018 BRICS_2017

26 12/9/2018 INFLATION 12/9/2018 BRICS_2017

27 12/9/2018 INFLATION 12/9/2018 BRICS_2017

28 12/9/2018 12/9/2018 BRICS_2017

29 12/9/2018 12/9/2018 BRICS_2017

30 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

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

32 12/9/2018 UNIVERSE HISTORY 12/9/2018 BRICS_2017

33 12/9/2018 12/9/2018 BRICS_2017

34 12/9/2018 12/9/2018 BRICS_2017

35 12/9/2018 THANKS 12/9/2018 BRICS_2017

36 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

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

38 12/9/2018 Chameleon Field 12/9/2018 BRICS_2017

39 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

40 12/9/2018 Kinetic suppression 12/9/2018 BRICS_2017

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

42 12/9/2018 GR : 12/9/2018 BRICS_2017

43 12/9/2018 12/9/2018 BRICS_2017

44 12/9/2018 Chameleon at work R, M 12/9/2018 BRICS_2017

45 12/9/2018 Vainshtein at work GR 12/9/2018 BRICS_2017

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

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

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

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

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

51 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

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

53 12/9/2018 vDVZ discontinuity- 1970 12/9/2018 BRICS_2017

54 12/9/2018 vDVZ discontinuity- 1970 12/9/2018 BRICS_2017

55 12/9/2018 + : g 12/9/2018 BRICS_2017

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

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

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

59 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

60 12/9/2018 Decoupling limit NO FRW cosmology 12/9/2018 BRICS_2017

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

62 12/9/2018 COSMIC ACCELERATION 12/9/2018 BRICS_2017

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