Bouncing cosmology in modified gravity with higher-order curvature terms

Abstract

A bouncing scenario of a flat homogeneous and isotropic universe is explored by using the reconstruction technique for the power-law parametrization of the Hubble parameter in a modified gravity theory with higher-order curvature and trace of the energy-momentum tensor terms. It is demonstrated that bouncing criteria are satisfied so that the cosmological initial singularity can be avoided. In addition, it is shown that the equation of state parameter crosses the line of the phantom divide. In the present scenario, the universe is filled with perfect fluid around the bouncing point, in which the universe becomes highly unstable and a big bounce can be realized. Furthermore, it is found that extremal acceleration occurs at the bouncing point.

Reinterpretation of Friedmann-Robertson-Walker Universe with Variable Gravitational and Cosmological Term in Bouncing Cosmology

“…Further Agrawal et al [46,47,48] developed a bouncing cosmology model with a suitable bouncing scale factor and studied its cosmic dynamics. Similarly, Singh et al [49] studied the bouncing behaviour of the universe in modified gravity with higher-order curvature, finding that the extremal acceleration occurs at the bouncing point. And Zubair and Farooq [50] explore the bouncing models in the framework of 4D EGB with a flat, isotropic FRW universe.…”

Bouncing Cosmology in f(R,G)$f(R,\mathcal {G})$ Gravity with Thermodynamic Analysis

“…[13][14][15] Modified theory of gravity in f (R, T) is also used by many authors. [16][17][18][19][20][21][22][23][24] The alternative term in f (R) gravity is Lovelock invariants. One of them is the Gauss-Bonnet invariant (𝒢).…”

“…[ 13–15 ] Modified theory of gravity in $$ f(R,T)$$ is also used by many authors. [ 16–24 ] The alternative term in $$ f(R)$$ gravity is Lovelock invariants. One of them is the Gauss‐Bonnet invariant $$ (\mathcal {G})$$.…”