Quasi Static Evolution of Compact Objects in Modified Gravity

TL;DR

This paper develops a quasi-static approximation framework for analyzing the evolution of compact objects within $f(R, T)$ gravity, incorporating anisotropic, dissipative matter, and exploring the effects of modified gravity on their dynamics.

Contribution

It introduces a novel quasi-static approximation method for $f(R, T)$ gravity, analyzing the evolution of anisotropic, dissipative compact objects in axial and reflection symmetric spacetimes.

Findings

Modified heat-fluxes are significant in the evolution.

Kinematical quantities influence the dynamics.

Scalar variables provide insights into the evolution process.

Abstract

In this paper, the quasi static-approximation on the hydrodynamics of compact objects is proposed in $f(R, T)$ gravity, where $R$ is the scalar curvature and $T$ is the trace of stress-energy tensor, by exploring the axial and reflection symmetric space time stuffed with anisotropic and dissipative matter contents. The set of invariant-velocities is defined to comprehend the concept of quasi static-approximation. As a consequence, the evolution of compact objects is shown by analyzing the corresponding modified field, dynamical and scalar equations in this approximation to evoke all the feasible outcomes. Furthermore, the significance of kinematical quantities, modified heat-fluxes and scalar variables are found through the proposed approximation.