Classical and quantum gravity of brane black holes

TL;DR

This paper investigates the holographic correspondence between 5D classical solutions and 4D quantum-corrected black holes, revealing unexpected quantum correction forms and discussing implications for various black hole configurations.

Contribution

It demonstrates that a 5D Schwarzschild-AdS black string can represent a quantum-corrected 4D black hole, highlighting differences from expected quantum effects.

Findings

Quantum corrections differ from traditional expectations.

Stress tensor lacks thermal Hawking radiation component.

Comparison between strong and weak coupling predictions.

Abstract

We test the holographic conjecture for brane black holes: that a full classical 5D solution will correspond to a quantum corrected 4D black hole. We show that a Schwarzschild-AdS black string in the bulk can be consistently interpreted as a quantum-corrected black hole on the brane, but the form of the quantum corrections is unlike what we would expect. The stress tensor extracted from the bulk solution does not have a thermal component corresponding to Hawking radiation outside the black hole. We compare this strong coupling prediction to a weak coupling calculation to study the differences in detail. We comment on implications for asymptotically flat black holes and for black holes localised in the extra dimension.