Gravitational collapse in braneworld models with curvature corrections

TL;DR

This paper investigates gravitational collapse in braneworld models with curvature corrections, revealing that the exterior spacetime is non-static, contrasting with predictions from four-dimensional general relativity.

Contribution

It analyzes the effects of induced-gravity and Gauss-Bonnet curvature corrections on gravitational collapse in braneworld scenarios, showing non-static exterior spacetimes.

Findings

Exterior spacetime is non-static in all curvature correction scenarios.

Contrasts with four-dimensional general relativity predictions.

Provides insights into braneworld gravitational dynamics.

Abstract

We study the collapse of a homogeneous braneworld dust cloud in the context of the various curvature correction scenarios, namely, the induced-gravity, the Gauss-Bonnet, and the combined induced-gravity and Gauss-Bonnet. In accordance to the Randall-Sundrum model, and contrary to four-dimensional general relativity, we show in all cases that the exterior spacetime on the brane is non-static.