Centre for Theoretical Physics Jamia Millia University New Delhi：QUINTESSENTIAL INFLATION（Unification of inflation and late time acceleration）

QUINTESSENTIAL INFLATION Unification of inflation and late time acceleration M。SAM工 Centre for Theoretical Physics Jamia Millia University New Delhi 1/26/2021 BRICS 2017

QUINTESSENTIAL INFLATION Unification of inflation and late time acceleration M. SAMI Centre for Theoretical Physics Jamia Millia University New Delhi 1/26/2021 BRICS_2017

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 1/26/2021 BRICS 2017

1/26/2021 BRICS_2017 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

Inconsistencies of standard model EARLY TIMES: Flatness problem Primordial inhomogeneities NELAtIoN Horizon problem LATE TIMES: Age crisis 1/26/2021 BRICS 2017

1/26/2021 BRICS_2017 Inconsistencies of standard model EARLY TIMES: LATE TIMES: Age crisis Flatness problem Primordial inhomogeneities INFLATION Horizon problem

AGE CRISIS IN HOT BIG BANG Matter dominated universe ()=0 2/3 alt 21 2 H(t) → t 3H Hn2=9.8h-Gy,0.64b08→o=(8-10Gw(1G=10) Observation: to(12-15 ) Gyr 1/26/2021 BRICS 2017

1/26/2021 BRICS_2017 AGE CRISIS IN HOT BIG BANG Matter dominated universe:

AGE CRISIS IN HOT BIG BANG Hr(t Let us ignore gravity for a moment 1t1 0=c0mst→)-=H Present epoch 1/26/2021 BRICS 2017

1/26/2021 BRICS_2017 Let us ignore gravity for a moment : AGE CRISIS IN HOT BIG BANG Present epoch:

Quintessential inflation Model of reincarnation 1/26/2021 BRICS 2017

1/26/2021 BRICS_2017 Quintessential inflation Model of reincarnation

Tracker og(p) V NpAo/M 入2>3(1+0b) 3(1+b) Present epoch log(a) 1/26/2021 BRICS 2017

1/26/2021 BRICS_2017 Tracker

Absence of trackers: Thawing Models logp Phantom, Tachyon Quintessence Present epoch P4 loga 1/26/2021 BRICS 2017

1/26/2021 BRICS_2017 Absence of trackers: Thawing Models Phantom, Tachyon, Quintessence

Quintessential inflation Brane Damping VO V=Vo(coshao/Mp-1)P;p>0 1/26/2021 BRICS 2017

1/26/2021 BRICS_2017 Quintessential inflation

Quintessential inflation eff=v(o) Q To 0e、NV T=3P eff=v(o)+ awm Q Gumjudpai et al WDE JcAP0506(2005) Q+ eff 1/26/2021 BRICS 201/

1/26/2021 BRICS_2017 Quintessential inflation Gumjudpai et al JCAP0506(2005)