Braneworld gravitational collapse from a radiative bulk

TL;DR

This paper explores the gravitational collapse of stars in a braneworld scenario with bulk matter, demonstrating that a static exterior can exist despite energy exchange with the bulk, and providing a detailed analysis of bulk and brane geometries.

Contribution

It introduces a model of stellar collapse in a radiative bulk braneworld, deriving conditions for a static exterior and analyzing bulk matter's role in the process.

Findings

A Schwarzschild exterior solution with an effective mass is obtained.

The exterior can remain static despite energy exchange with the bulk.

Bulk matter and geometry are characterized and linked to the brane dynamics.

Abstract

We study the fate of a collapsing star on the brane in a generalized braneworld gravity with bulk matter. Specifically, we investigate for the possibility of having a static exterior for a collapsing star in the radiative bulk scenario. Here, the nonlocal correction due to bulk matter is manifest in an induced mass that adds up to the physical mass of the star resulting in an effective mass. A Schwarzschild solution for the exterior in terms of this effective mass is obtained, which reveals that even if the star exchanges energy with the bulk, the exterior may appear to be static to a braneworld observer located outside the collapsing region. The possible explanation of the situation from the discussion on the role of bulk matter is provided. The nature of bulk matter and the corresponding bulk geometry have also been obtained and analyzed, which gives a complete picture of both brane and bulk viewpoints.