Global properties of charged black holes with cosmological constant

Abstract

[EN] In General Relativity, the causal structure of spherically symmetric spacetime solutions can be studied by the so-called Penrose diagrams. Based on conformal transformations, this technique is used to compactify spacetime manifolds, in order to make its causal relationships more evident. In this work, we review several solutions to Einstein’s equation of gravity, constructing in each case the associated conformal diagram. Different black hole solutions are studied, together with the de Sitter spacetime, a vacuum solution that considers a positive cosmological constant. Eventually, we give an account of the global properties of charged black holes with positive cosmological constant.