Reconstruction of extended f(P) cubic gravity from other modified gravity models

Sardar, Alok; Debnath, Ujjal

doi:10.1016/j.dark.2021.100926

Reconstruction of extended f(P) cubic gravity from other modified gravity models

Dec, 2021

Published in:

Phys.Dark Univ. 35 (2022) 100926,
Phys.Dark Univ. (2021) 100926

Published: Mar, 2022
and
Published: Dec, 2021

DOI:

10.1016/j.dark.2021.100926 (publication)

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Abstract: (Elsevier B.V.)

In the present work, we attempt to reconstruct extended

f (P)

cubic gravity through Einstein–Aether (EA),

F (T)

,

F (R)

,

F (G)

,

F (R, T)

and

F (R, G)

gravity theory, and we investigate their early and late-time cosmological applications. We consider modified Friedmann equations for

f (P)

cubic gravity in a flat FRW (Friedmann–Robertson–Walker) geometry and find the effective energy density and pressure. We assume the scale factor in power-law form. We evaluate the unknown function

f (P)

in terms of the cubic invariant

P

by equating the energy density with other modified gravity models separately and analyze

P

against

f (P)

graphically for every case. We perform a detailed investigation of the universe’s behavior at both early and late-times evolution by examining various trajectories of the deceleration parameter

q

, equation of state (EOS) parameter

ω_{D E}

, and squared speed

v_{s}^{2}

. In addition, we examine

ω_{D E} - ω_{D E}^{^{'}}

plane and point out the freezing or thawing region in that plane. Finally, we analyze some of the latest cosmographic parameters like jerk

(j)

, snap

(s)

, and lerk

(l)

parameter for each of the reconstructed models.

Reconstruction
Friedmann equations
Modified gravity
Cosmographic parameters

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