Spherical Symmetric Gravitational Collapse in Chern-Simon Modified Gravity

TL;DR

This paper explores the gravitational collapse of a perfect fluid sphere within Chern-Simons modified gravity, analyzing horizon formation and matching conditions, and showing consistency with general relativity when the external field is constant.

Contribution

It provides a new solution for gravitational collapse in Chern-Simons gravity and examines horizon formation, extending previous models in general relativity.

Findings

Solutions reduce to general relativity with constant external field

Derived conditions for apparent horizon formation

Calculated gravitational mass during collapse

Abstract

This paper is devoted to investigate the gravitational perfect fluid collapse in the framework of Chern-Simon modified gravity. For this purpose, we assume the spherically symmetric metric as an interior region and the Schwarzchild spacetime is considered as an exterior region of the star. The Israel junction conditions are used to match the interior and exterior spacetimes. For the sake of simplicity, we take the external field $\Theta$ as a function of time parameter $t$ and obtain the solution of the field equations of Chern-Simon modified gravity. Junction conditions have been used to calculate the gravitational mass. We discuss the apparent horizons and their physical consequences. It is mentioning here that our results will reduce to those of general relativity, available in literature, if the external field is taken to be constant.