# Dissipative Self-Gravitating Systems in Modified Gravity

## TL;DR

This paper studies the gravitational collapse of spherical objects within the $f(R,T,Q)$ modified gravity theory, examining effects of anisotropy, heat dissipation, and inhomogeneity on the dynamics and structure of collapsing systems.

## Contribution

It introduces a detailed analysis of collapse dynamics in $f(R,T,Q)$ gravity, including heat transport, anisotropy, and energy density inhomogeneity, which are less explored in previous models.

## Key findings

- Reduction in inertial mass density linked to thermodynamics.
- Connection between Weyl tensor and matter variables analyzed.
- Energy density inhomogeneity studied in modified gravity context.

## Abstract

We discuss the gravitational collapse of spherical compact objects in the background of $f(R,T,Q)$ theory, where $R$ represent the Ricci scalar, $T$ is the trace of energy momentum tensor while $Q\equiv R_{\mu\nu}T^{\mu\nu}$, and investigate the influence of anisotropy and heat dissipation in this scenario. We provide an analysis on the role of distinct material terms considered while studying the dynamical equation. The dynamical equation is coupled with a heat transport equation and discussed in the background of $f(R,T,Q)$ theory of gravity. The reduction element in the density of inertial mass, is re-acquired which is based on the internal position of thermodynamics. In collation with the equivalence relation, the reduction quantity in density is similar as appeared with gravitational force. We formulate the connection of Weyl tensor with different matter variables to see the non-identical outcomes. The inhomogeneous nature of energy density is also analyzed in the framework of modified gravity.