Gravitational collapse in f(R) gravity for a spherically symmetric spacetime admitting a homothetic Killing vector

TL;DR

This paper investigates gravitational collapse in f(R) gravity with spherical symmetry and homothetic symmetry, showing that collapse generally leads to singularities covered by horizons, with some cases reaching a stable radius.

Contribution

It analyzes collapse dynamics in power-law f(R) gravity with homothetic symmetry, revealing conditions for singularity formation and horizon coverage, including stable radius scenarios.

Findings

Collapse often results in singularities covered by apparent horizons.

Some cases reach a stable radius without forming a singularity.

Collapse behavior depends on the specific f(R) power function.

Abstract

The gravitational collapse of a spherical distribution, in a class of f(R) theories of gravity, where f(R) is power function of R, is discussed. The spacetime is assumed to admit a homothetic Killing vector. In the collapsing modes, some of the situations indeed hit a singularity, but they are all covered with an apparent horizon. Some peculiar cases are observed where the collapsing body settles to a constant radius at a given value of the radial coordinate.