Realization of Bounce in a Modified Gravity Framework and Information Theoretic Approach to the Bouncing Point

Abstract

In this work, we report a study on bouncing cosmology with modified generalized Chaplygin Gas (mgCG) in a bulk viscosity framework. Reconstruction schemes were demonstrated in Einstein and modified f(T) gravity framework under the purview of viscous cosmological settings. We also took non-viscous cases into account. We studied the equation of state (EoS) parameter under various circumstances and judged the stability of the models through the sign of the squared speed of sound. We observed the mgCG behaving like avoidance of Big Rip in the presence of bulk viscosity at the turnaround point and in non-viscous cases, a phantom-like behavior appears. The turnaround point equation of state parameter crosses the phantom boundary, violating NEC. The role of the mgCG’s model parameters was also investigated before and after the bounce. A Hubble flow dynamics was carried out and, it was revealed that mgCG is capable of realizing an inflationary phase as well as an exit from inflation. An f(T) gravitational paradigm was also considered, where the mgCG density was reconstructed in the presence of bulk viscosity. The role of the parameters associated with the bouncing scale factor, describing how fast the bounce takes place, was also studied in this framework. Finally, the reconstructed mgCG turned out to be stable against small perturbations irrespective of the presence of bulk viscosity and modified gravity scenario. Finally, the reconstruction scheme was assessed using statistical analysis, Shannon entropy.

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

“…[79] Recent works have delved into the bouncing cosmology model within the framework of modern cosmological observations and theoretical developments. [80][81][82][83][84][85][86][87][88][89][90][91][92][93][94][95] In this paper, we aim to study the evolution of the universe using a specific form of f (R, 𝒢). With the help of physical parameters, energy conditions (ECs), and verification of the second law of thermodynamics, it is possible to understand the bouncing cosmic behavior of the universe.…”

“…[ 79 ] Recent works have delved into the bouncing cosmology model within the framework of modern cosmological observations and theoretical developments. [ 80–95 ]…”

A truncated scale factor to realize cosmological bounce under the purview of modified gravity

“…The introduction of cosmological models that replace the Big Bang singularity with a nonsingular “Big Bounce” (Dzierżak et al 2009; Li et al 2014; Saha & Chattopadhyay 2023; Sarkar & Chattopadhyay 2021) has ushered in various new avenues in the search for the ultimate answer to the cosmic evolution. Bouncing cosmology has proved itself to be a significant alternative to the inflation theory.…”