Braneworld stars and black holes

TL;DR

This paper investigates static and dynamic black hole and star solutions on a Randall-Sundrum brane by embedding them into known bulk spacetimes, analyzing their physical plausibility and the challenges in modeling time-dependent black holes.

Contribution

It provides a comprehensive set of static solutions for gravitating sources on the brane within various bulk spacetimes, and explores the complexities of modeling time-dependent braneworld black holes.

Findings

Identified static gravitating solutions consistent with bulk embeddings.

Analyzed physical plausibility of various matter sources on the brane.

Discussed challenges in modeling time-dependent black holes in the braneworld context.

Abstract

We look for spherically symmetric star or black hole solutions on a Randall-Sundrum brane from the perspective of the bulk. We take a known bulk solution, and analyse possible braneworld trajectories within it that correspond, from the braneworld point of view, to solutions of the brane Tolman-Oppenheimer-Volkoff equations. Our solutions are therefore embedded consistently into a full bulk solution. We find the full set of static gravitating matter sources on a brane in a range of bulk spacetimes, analyzing which can correspond to physically sensible sources. Finally, we look at time-dependent trajectories in a Schwarzschild--anti de Sitter spacetime as possible descriptions of time-dependent braneworld black holes, highlighting some of the general features one might expect, as well as some of the difficulties involved in getting a full solution to the question.