Dynamical analysis of bulk viscous cosmological model in $F(T)$ gravity

TL;DR

This paper investigates the dynamics of bulk viscous cosmological models within $F(T)$ gravity, analyzing stability, cosmological parameters, and observational consistency in exponential and power-law scenarios.

Contribution

It introduces a generalized $F(T)$ gravity framework with bulk viscosity, providing a detailed dynamical and stability analysis of cosmological solutions.

Findings

Exponential models exhibit stable fixed points consistent with cosmic acceleration.

Cosmological parameters align with observational data in both models.

Stability analysis supports the viability of bulk viscous $F(T)$ cosmologies.

Abstract

Bulk viscous cosmological models is presented in the teleparallel ($F(T)$, where $T$ denotes torsion) gravity. In the teleparallel gravity, the Lagrangian of the gravitational action contains a general function $F(T)= T+ f(T)=(1+ \gamma) T+\alpha (-T)^n$, where $\gamma$, $n$ and $\alpha$ are dimensional constants. Cosmological solutions in Eckart theory and Truncated Israel Stewart theory are talked about in $F(T)=(1+ \gamma) T+\alpha (-T)^n$ gravity form which is one of the most generalized gravity form in the torsional gravity. The substantial and geometrical prospective of the cosmological models in Eckart theory and Truncated Israel Stewart theory in $F(T)$ gravity are deliberated for flat Friedmann-Robertson-Walker space time. Dynamical analysis of the fixed points of exponential expansion in $F(T)$ with bulk viscous cosmological models are studied here. The characteristics of the various cosmological parameters such as bulk viscous pressure, energy density, scale factor, Hubble parameter and entropy evolution are studied in Power law and Exponential models. Stability analysis of the exponential models are also argued with cosmic growth in the relevant theories by using directional plots. The cosmological models are supported by observations results.