Collapsing dynamics of relativistic fluid in modified gravity admitting a conformal Killing vector

TL;DR

This paper investigates the collapse of relativistic fluids in modified gravity theories with conformal symmetry, deriving exact solutions that encompass general relativity as a special case, and discusses astrophysical implications.

Contribution

It provides new exact solutions for relativistic fluid collapse in $f(R)$ gravity under conformal Killing vector conditions, extending previous GR results.

Findings

Exact solutions for dissipative and non-dissipative collapse in $f(R)$ gravity.

Recovery of general relativity solutions when $f(R)=R$.

Discussion of astrophysical applications of the solutions.

Abstract

The collapsing dynamics of relativistic fluid are explored in $f(R)$ gravity in a detailed systematic manner for the non-static spherically symmetric spacetime satisfying the equation of the conformal Killing vector. With quasi-homologous condition and diminishing complexity factor condition, exact solutions for dissipative as well as for non-dissipative systems are found and the astrophysical applications of these exact solutions are discussed. Furthermore, it is demonstrated that $f(R)=R$, which is the extensive restriction of $f(R)$ gravity, prior solutions of the collapsing fluid in general relativity, can be retrieved.