Gravitational collapse of compact stars in $ f(R) = \xi R^4 $ gravity

TL;DR

This paper develops a model for the gravitational collapse of anisotropic compact stars within a specific $f(R)$ gravity framework, providing analytical solutions and demonstrating physical acceptability of the model.

Contribution

The paper introduces a new analytical model for anisotropic star collapse in $f(R) = \xi R^4$ gravity, expanding understanding of collapse dynamics in modified gravity theories.

Findings

Model is physically acceptable for collapse scenarios.

Analytical solutions for physical quantities are derived.

Collapse behavior aligns with expected physical conditions.

Abstract

Model of gravitational collapse of anisotropic compact stars in a new theory of $ f(R) $ gravity has been developed. The author considers the modified gravity model of $ f(R) = \xi R^4 $ to investigate a physically acceptable model of gravitational collapse of anisotropic compact stars. First, the author presents a brief review of the development of field equations of gravitational collapse in $ f(R) $ gravity for a particular interior metric for compact stars. Then analytical solutions for various physical quantities of collapsing anisotropic compact stars in $ \xi R^4 $ gravity have been developed. By analyzing plots of various physical parameters and conditions, it is shown that the model is physically acceptable for describing the gravitational collapse of anisotropic compact stars in $ f(R) = \xi R^4 $ gravity.