QUINTESSENTIAL INFLATION Relic gravity waves M. SAMI Centre for - - PowerPoint PPT Presentation

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QUINTESSENTIAL INFLATION Relic gravity waves M. SAMI Centre for - - PowerPoint PPT Presentation

Sep 17, 2023 548 likes •1.33k views

QUINTESSENTIAL INFLATION Relic gravity waves M. SAMI Centre for Theoretical Physics Jamia Millia University New Delhi GC-2018 09/02/18 Kyoto_2018 BRIEF OVER VIEW AccelerationGeneric feature of cosmic history Late time

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QUINTESSENTIAL INFLATION
 Relic gravity waves

  • M. SAMI

Centre for Theoretical Physics Jamia Millia University New Delhi

09/02/18

GC-2018

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BRIEF OVER VIEW

  • Acceleration—Generic feature of cosmic history
  • Late time acceleration: Dark energy, large scale

modification of gravity.

  • Quintessential inflation
  • Building Blocks: Non-interference with thermal history

and independence of initial conditions.

  • Model independent Estimates.
  • Brane world models.
  • Reheating Mechanisms: gravitational particle

production, Instant preheating, Curvaton mechanism.

  • Unification in standard FRW : successful model.

Prediction of the paradigm.

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Inconsistencies of standard model

EARLY TIMES:

LATE TIMES: Age crisis

Flatness problem Primordial inhomogeneities INFLATION Horizon problem

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AGE CRISIS AND ITS RESOLUTION WITH

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Late time acceleration

  • DARK ENERGY: Fluid with large negative pressure
  • Cosmological constant
  • Slowly Rolling scalar field
  • LARGE MODIFICATION OF GRAVITY
  • Based upon massive extra degrees of freedom
  • (standard) Scalar tensor theories
  • Mass less extra degrees of freedom
  • Galileon modified theories.
  • Horndeski Theories
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Massive degrees of freedom: Chameleon mechanism

  • A. A. Starobinsky, JETP. Lett.

86, 157 (2007), [arXiv:0706.2041]; A. V. Frolov, PRL101, 061103 (2008)

T.Thongkool, Gannouji, MS, S. Jhingan Phys.Rev. D80 (2009) 043523; PRD8,083515(2008)

Generic modification: No Go

Acceleration in Jordan frame. No acceleration in Einstein frame. Proper screening leaves no scope for late time acceleration J.Wang,L. Hui, J. Khoury, PRL109,241301(2012)

  • K. Bamba, R. Gannouji, M.Kamijo, S. Nojiri, MS

JCAP1307,017(2013)

Modified theories

  • S. Capozziello, V. F. Cardone, S.Carloni, A. Troisi, astro-ph/0307018
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Massless degrees of freedom: Vainstein Mechanism Galileon theory.

  • A. Nicolis, R. Rattazzi and E. Trincherini,
  • Phys. Rev. D79(2009) 064036

T.Baker et al, arXiv:1710.06394

Strong constraints from GW

Modified theories

Horndeski, G.W. Int. J. Theor. Phys. 10, 363 (1974).

  • C. Deffayet, G. Esposito-Farese and A.

Vikman, Phys. RevD79(2009) 084003

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Horndeski

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Scalar field dynamics

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Quintessential inflation

Model of reincarnation

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Tracker

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Absence of trackers: Thawing Models

Phantom, Tachyon, Quintessence

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Desirable Post Inflationary Evolution

SCLAMING SOLUTION LATE TIME EXIT FROM SCALING REGIME Field potential shallow at late stages. Triggering minimum at late times in the potential. INITIAL CONSDITIONS INDEPENDENCE -TRACKER

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SCALING BEHAVIOUR

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SCALING BEHAVIOUR

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Potential less steeper than exponential

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Potential more steeper than exponential General case

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Potential more steeper than exponential specific case

JCAP1706(2017),06,011 C.Q.Geng,C.C. Lee, MS,E.N.Saridakis, Alexei A. Starobinsky

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Post Inflationary Evolution

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Coupling to matter

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Late time attractor

  • B. Gumjudpai , T. Naskar, MS, S. Tsujikawa

JCAP0506(2005)

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Late Time Exit to acceleration coupling to massive neutrino matter

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Exit from scaling regime to late time acceleration

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VIABLE EVOLUTION

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Cosmological constant

m

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NATURALNESS OR DECOUPLING

A parameter in the Lagrangian of a field theory is said to be natural If by switching it off at the classical level leads to the enhancement Of symmetry which is also respected at the quantum level.

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Electrodynamics

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Inflation

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Model independent estimates

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Gravitational Particle Production

Gravitational particle production misses the NC at least by two orders of magnitudes

B.Spokoiny, PLB315,40(1993)

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INSTANT PREHEATING

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INSTANT PREHEATING

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INSTANT PREHEATING

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CURVATON PREHEATING

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Model Building

  • I. 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)

MS, V. Sahni, Phys.Rev. D70 (2004) 083513

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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

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Quintessential Inflation

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OBSERVATIONAL CONSTRAINTS

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GAUSS BONNET IN THE BULK

effort to rescue the model

J-F. Dufaux, J. Lidsey, Roy Maartens, MS, PR D70 (2004) 083525

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Gauss-Bonnet term in the bulk

MS, V. Shani, PR D 70, 083513 (2004 ) J-F. Dufaux, J. Lidsey, Roy Maartens, MS, PR D70 (2004) 083525

  • S. Tsujikawa, MS,

Roy Maartens, PRD70 (2004) 063525

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Quintessential inflation Standard FRW Framework

Wali Hossain, R. Myrzakulov, MS, E. Saridakas, arXiv:1402:6661. C.Wetterich, arXiv:1308.1019

JCAP1706(2017),06,011 C.Q.Geng,C.C. Lee, MS,E.N.Saridakis, Alexei A. Starobinsky

S.Ahmad,MS,Myrzakulov PRD 96, 063515 (2017)

  • A. Agarwal , MS, N.

Singh, PL B770 (2017) 200-208

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INFLATION: MODEL

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Model

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Chao-Qiang Geng, Md. Wali Hossain,

  • R. Myrzakulov, MS, Emmanuel N.

Saridakis PR D 92, 023522 (2015); PR D 89, 123513 (2014)

Model

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The Successful Model

JCAP1706(2017),06,011, C.Q.Geng,C.C. Lee, MS,E.N.Saridakis, Alexei A Starobinsky

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UNIVERSE HISTORY

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PREDICTION

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THANKS

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MODIFIED THEORIES OF GRAVITY

  • Chameleon theories- f(R)
  • Modified theories based upon Vainshtein screening
  • Galileon theories
  • Massive gravity

Extra degrees of freedom: Scalar degree(s) of freedom

LARGE SCALE MODIFICATION Requirements

  • Local physics be intact
  • Cosmic acceleration
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SCALARON: Requirements

DE: Solar Physics:

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Chameleon Field

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MASS SCREENING OR FIFTH FORCE SUPPRESSION (Basic Idea) Chameleon or Symmetron

Localized source:

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Kinetic suppression

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Galileon

Chameleon versus Galileon(Vainshtein )

Chameleon

Small distances: Large distances:

Galileon

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:

GR

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R, M

Chameleon at work

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Vainshtein at work

GR

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Symmetron: Dark energy

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Symmetry should break: Local gravity constraints

Symmetron: Dark energy

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No scope for self acceleration

Chameleon/Symmetron theories-

arXiv:1284612: J. Wang, L. Hui and J. Khoury arXiv: 1211.2289: K. Bamba, R. Gannouji, MS, To appear in JCAP

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No scope for self acceleration

Chameleon/Symmetron theories-

arXiv:1284612: J. Wang, L. Hui and J. Khoury arXiv: 1211.2289: K. Bamba, R. Gannouji, MS, To appear in JCAP

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No scope for self acceleration

Chameleon/Symmetron theories-

arXiv:1284612: J. Wang, L. Hui and J. Khoury arXiv: 1211.2289: K. Bamba, R. Gannouji, MS, To appear in JCAP

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Massive gravity---Motivation

1939 : To write down the consistent relativistic equation for spin 2 field Now

Cosmic acceleration

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Massive gravity—Pauli-Fierz(1939)

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vDVZ discontinuity- 1970

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vDVZ discontinuity- 1970

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+ g

:

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GR

VAINSHTEIN SCREENING(1972)

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Ghost---Boulware-Deser

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Ghost---Boulware-Deser

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Stuckelberg formalism

  • C. De Rham,G. Gabadadze,
  • A. Tolley, PRL106, 2011

dRGT

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Decoupling limit

NO FRW cosmology

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Extended schemes

  • K. Bamba, Wali Hossain, Myrzakulov, Nojiri, MS,

arXiv:1309..6413(to appear in PRD) R.Gannouji,,wali Hossain, MS, E. Saridakis, PRD87,123535(2013)

  • G. Gabadadze et al, arXiv:1206.4253
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COSMIC ACCELERATION