Gravitational collapse on the brane: a no-go theorem

TL;DR

This paper proves a no-go theorem showing that in braneworld gravity, the exterior spacetime during gravitational collapse cannot be static, contrasting with predictions from general relativity, and explores the influence of Kaluza-Klein energy density.

Contribution

It establishes a no-go theorem for static exteriors in brane-world gravitational collapse without assumptions about the bulk, highlighting fundamental differences from general relativity.

Findings

Exterior spacetime cannot be static during collapse

Kaluza-Klein energy density influences collapse dynamics

Contrasts with classical general relativity predictions

Abstract

We investigate how braneworld gravity affects gravitational collapse and black hole formation by studying Oppenheimer-Snyder-like collapse on a Randall-Sundrum type brane. Without making any assumptions about the bulk, we prove a no-go theorem: the exterior spacetime on the brane cannot be static, which is in stark contrast with general relativity. We also consider the role of Kaluza-Klein energy density in collapse, using a toy model.