Stability and Binding Energy of Small Asymptotically Randall-Sundrum Black Holes

Abstract

We study the binding of a small black hole to a positive-tension brane in the second Randall-Sundrum scenario (RS2) with orbifold symmetry. We find that a small black hole on the brane has substantial gravitational binding energy to the brane, and is stable against escaping into the bulk. This result can be applied in other models with an orbifold-symmetric brane. We also find a novel static black hole, which is completely localized off the brane and is unstable against translations transverse to the brane. Our results are obtained analytically by applying a variational principle to black hole initial data. This paper is the second in a series on asymptotically RS black holes.

12 pages, 7 figures, REVTeX 4.1; added new section VII; matches published version. This paper draws on arXiv:1408.4425

References in corpus (4)

• Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
• On the existence and dynamics of braneworld black holes
• Critical escape velocity of black holes from branes
• First Law and a Variational Principle for Static Asymptotically Randall-Sundrum Black Holes

Cited by in corpus (3)

• Fermion localization mechanism with derivative geometrical coupling on branes
• Primordial black holes in Randall-Sundrum: Cosmological signatures
• First Law and a Variational Principle for Static Asymptotically Randall-Sundrum Black Holes