The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids

TL;DR

This paper investigates how modifications to gravity in $f(R,T)$ theory affect the evolution and physical properties of radiating spherical stellar objects using structure scalars.

Contribution

It introduces a method to analyze the dynamics of radiating fluids in $f(R,T)$ gravity through structure scalars, extending previous models to modified gravity contexts.

Findings

Modified gravity influences the physical interpretation of scalar functions.

Evolutionary phases of stellar systems can be studied via these scalars in $f(R,T)$ gravity.

Scalar functions retain their utility in analyzing relativistic stellar evolution in modified theories.

Abstract

We explore the evolutionary behaviors of compact objects in a modified gravitational theory with the help of structure scalars. Particularly, we consider the spherical geometry coupled with heat and radiation emitting shearing viscous matter configurations. We construct structure scalars by splitting the Riemann tensor orthogonally in $f(R,T)$ gravity with and without constant $R$ and $T$ constraints, where $R$ is the Ricci scalar and $T$ is the trace of the energy-momentum tensor. We investigate the influence of modification of gravity on the physical meaning of scalar functions for radiating spherical matter configurations. It is explicitly demonstrated that even in modified gravity, the evolutionary phases of relativistic stellar systems can be analyzed through the set of modified scalar functions.