Quantum black holes and holography

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. [email protected] Talk given at the Conference “Constrained dynamics and quantum gravity QG05”, Cala Gonone (Italy), September 2005