Gravitational Perfect Fluid Collapse in Gauss-Bonnet Gravity

TL;DR

This paper explores gravitational collapse of perfect fluid in Einstein Gauss-Bonnet gravity, revealing that Gauss-Bonnet coupling influences singularity formation, often resulting in naked singularities that differ from classical general relativity predictions.

Contribution

It provides an exact solution for perfect fluid collapse in Einstein Gauss-Bonnet gravity and analyzes how Gauss-Bonnet terms affect singularity structure and formation.

Findings

Gauss-Bonnet coupling alters collapse dynamics

Naked singularities can form earlier than horizons

Singularities are weak and timelike, contrasting GR results

Abstract

The Einstein Gauss-Bonnet theory of gravity is the low energy limit of heterotic super-symmetric string theory. This paper deals gravitational collapse of perfect fluid in Einstein Gauss-Bonnet gravity by considering the Lemaitre - Tolman - Bondi metric. For this purpose, the closed form of exact solution of equations of motion has been determined by using the conservation of stress-energy tensor and the condition of marginally bound shells. It has been investigated that the presence of Gauss-Bonnet coupling term $\alpha>0$ and pressure of the fluid modifies the structure and time formation of singularity. In this analysis singularity form earlier than horizon, so end state of the collapse is a naked singularity depending on the initial data. But this singularity is weak and timelike that goes against the investigation of general relativity.