Dynamics of Anisotropic Collapsing Spheres in Einstein Gauss-Bonnet Gravity

TL;DR

This paper explores the dynamics of anisotropic, self-gravitating spheres in five-dimensional Einstein Gauss-Bonnet gravity, analyzing collapse behavior and the influence of inhomogeneity and anisotropy on gravitational collapse.

Contribution

It formulates the dynamical equations for anisotropic collapsing spheres in 5D Einstein Gauss-Bonnet gravity, including junction conditions and mass evolution, advancing understanding of higher-dimensional gravitational collapse.

Findings

Mass increases with effective radial pressure during collapse

System exhibits retardation, indicating ongoing gravitational collapse

Formulated general dynamical equations for anisotropic sources in 5D Gauss-Bonnet gravity

Abstract

This paper is devoted to investigate the dynamics of the self gravitating adiabatic and anisotropic source in $5D$ Einstein Gauss-Bonnet gravity. To this end, the source has been taken as Tolman-Bondi model which preserve inhomogeneity in nature. The field equations, Misner-Sharp mass and dynamical equations have formulated in Einstein Gauss-Bonnet gravity in $5D$. The junction conditions have been explored between the anisotropic source and vacuum solution in Gauss-Bonnet gravity in detail. The Misner and Sharp approach has been applied to define the proper time and radial derivatives. Further, these helps to formulate general dynamical equations. The equations show that the mass of the collapsing system increases with the same amount as the effective radial pressure increases. The dynamical system preserve retardation which implies that system under-consideration goes to gravitational collapse.