Classical black hole evaporation in Randall-Sundrum infinite braneworld

TL;DR

This paper analyzes gravity in the Randall-Sundrum infinite braneworld, focusing on whether 4D general relativity emerges on the brane and whether static brane black holes exist. It employs the geometrical SMS reduction, linear and nonlinear perturbation analyses, and AdS/CFT arguments to assess bulk effects and black hole physics. The main findings are that 4D GR is recovered with small corrections, that static brane black holes may be absent due to strong CFT backreaction, and that brane BH evaporation can be understood as a classical 5D process, offering a route to constrain the bulk curvature radius $\ell$ and to simulate Hawking evaporation in 5D. The work highlights the potential observational and computational implications of the RS braneworld for black hole physics and quantum backreaction.

Abstract

After the gravity induced on the brane in the Randall-Sundrum (RS) infinite braneworld is briefly reviewed, we discuss the possibility that black holes evaporate as a result of classical evolution in this model based on the AdS/CFT correspondence. If this possibility is really the case, the existence of long-lived solar mass black holes will give the strongest constraint on the bulk curvature radius. At the same time, we can propose a new method to simulate the evaporation of a 4D black hole due to the Hawking radiation as a 5D process.