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

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•Inflation and Quintessence –Essential ingredients of standard model. •Unification : Quintessential inflation. •Building Blocks. •Model independent Estimates. •Brane world models. •Unification in standard FRW framework.
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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)

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