Gravitationally collapsing stars in $f(R)$ gravity

TL;DR

This paper investigates the gravitational collapse of radiating stars within $f(R)$ gravity, demonstrating that certain boundary conditions can lead to weak singularities and complete mass radiation before forming a central singularity.

Contribution

It explores the dynamics of collapsing radiating stars in $f(R)$ gravity and identifies conditions for weak singularities and total mass loss prior to singularity formation.

Findings

Collapse can result in weak singularities under specific boundary conditions.

Stars can radiate away all mass before reaching the central singularity.

Different functional forms of $f(R)$) influence collapse outcomes.

Abstract

The gravitational dynamics of a collapsing matter configuration which is simultaneously radiating heat flux is studied in $f(R)$ gravity. Three particular functional forms in $f(R)$ gravity are considered to show that it is possible to envisage boundary conditions such that the end state of the collapse has a weak singularity and that the matter configuration radiates away all of its mass before collapsing to reach the central singularity.