Capture of bulk geodesics by brane-world black holes

TL;DR

This paper investigates how bulk timelike geodesics behave around brane-world black holes, revealing conditions under which stable bound orbits exist near the brane in an asymptotically AdS spacetime.

Contribution

It demonstrates the existence of stable bound geodesics near brane-world black holes for specific parameter ranges, advancing understanding of geodesic dynamics in such models.

Findings

Stable timelike geodesics can orbit and remain bound near the brane.

Existence of bound orbits depends on black hole mass and bulk cosmological constant.

Bound orbits are possible within certain parameter ranges.

Abstract

In this note we study bulk timelike geodesics in the presence of a brane-world black hole, where the brane-world is a two-brane moving in a 3+1-dimensional asymptotically $adS_4$ spacetime. We show that for a certain range of the parameters measuring the black hole mass and bulk cosmological constant, there exist stable timelike geodesics which orbit the black hole and remain bound close to the two-brane.