Black Hole Solutions for Scale Dependent Couplings: The de Sitter and the Reissner-Nordström Case

Abstract

Allowing for scale dependence of the gravitational couplings leads to a generalization of the corresponding field equations. In this work, those equations are solved for the Einstein-Hilbert and the Einstein-Maxwell case, leading to generalizations of the (Anti)-de Sitter and the Reissner-Nordström black holes. Those solutions are discussed and compared to their classical counterparts.

17 pages, 7 figures

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