Black strings induced by the Casadio–Fabbri–Mazzacurati Braneworld black holes solutions

Abstract

This paper aims to evince the bulk metric near the brane and in particular the black string warped horizon associated to the Casadio–Fabbri–Mazzacurati braneworld black holes, and their physical consequences. The black string can be shown to be more unstable to large-scale perturbations than the Schwarzschild standard black strings, namely the Gregory–Laflamme instability. The two solutions of Einstein equations proposed by Casadio, Fabbri, and Mazzacurati, regarding black hole metrics presenting a post-Newtonian parameter measured on the brane are analyzed, in particular when suitable values for the post-Newtonian parameter precluding Hawking radiation on the brane are chosen. The associated black string profile is studied. Further details can be found in [1].