Quantum black holes and holography

TL;DR

This paper explores a holographic duality between 4D quantum black holes on a brane and classical 5D black holes in Anti-de Sitter space, providing new insights into quantum corrections and black hole solutions.

Contribution

It formulates a holographic conjecture linking quantum-corrected black holes to classical higher-dimensional black holes, advancing understanding of black hole physics in braneworld models.

Findings

Computed quantum corrections to the Newtonian potential on the brane.

Predicted the existence of static large mass braneworld black holes.

Provided new semiclassical results through holographic duality.

Abstract

It is technically difficult (if not impossible) to write down and solve self-consistently the semiclassical Einstein equations in the case of evaporating black holes. These difficulties can in principle be overcome in an apparently very different context, the Randall-Sundrum braneworld models in Anti-de Sitter space. Use of Maldacena's AdS/CFT correspondence led us to formulate a holographic conjecture for black holes localised on a brane, for which 4D quantum corrected black holes are dual to classical 5D black holes. This duality is applied to the computation of the correction to the newtonian potential on the brane, with new results on the semiclassical side, and a prediction about the existence of static large mass braneworld black holes is made.