Theoretical Physics Seminar

The classical Penrose inequality, a relation between the ADM and the area of any cross section of the black hole event horizon, was introduced as a test of the weak cosmic censorship: if it fails, the trapped surface is not necessarily behind the event horizon and a naked singularity could develop. Since that original derivation, a variety of proofs have developed mainly focused on the initial data formulation on maximal spacelike slices of spacetime. Most of these proofs are applicable for classical fields, as the energy conditions required are violated in the context of quantum field theory. In this talk I will present two generalizations of the Penrose inequality: a proof of a classical inequality using an initial data formulation and an average energy condition and a proof of a generalized inequality for evaporating black holes with a connection to the weak cosmic censorship. The latter case is also applicable to quantum fields. Finally, I will present physically motivated examples for both.