Evolution of Compact Stars and Dark Dynamical Variables

TL;DR

This paper investigates how dark dynamical effects in $f(R,T)$ modified gravity influence the evolution and density inhomogeneity of compact stars, using specific models and scalar variables under constant curvature and trace conditions.

Contribution

It introduces a detailed analysis of dark source effects on compact star dynamics within $f(R,T)$ gravity, including structure scalars and evolution equations under specific conditions.

Findings

Dark source terms significantly affect star evolution.

Dynamical variables influence density inhomogeneity.

Scalar variables help understand compact star behavior.

Abstract

This work is aimed to explore the dark dynamical effects of $f(R,T)$ modified gravity theory on the dynamics of compact celestial star. We have taken the interior geometry as spherical star which is filled with imperfect fluid distribution. The modified field equations are explored by taking a particular form of $f(R,T)$ model, i.e., $f(R,T)=f_1(R)+f_2(R)f_3(T)$. These equations are then utilized to formulate the well-known structure scalars under the dark dynamical effects of this higher order gravity theory. Also, the evolution equations for expansion and shear are formulated with the help of these scalar variables. Further, all this analysis have been made under the condition of constant $R$ and $T$. We found a crucial significance of dark source terms and dynamical variables on the evolution and density inhomogeneity of compact objects.