Robinson-Trautman spacetimes coupled to conformally invariant electrodynamics in higher dimensions

Abstract

We summarize recent results on D-dimensional Robinson-Trautman solutions of Einstein's gravity in the presence of a conformally invariant non-linear electromagnetic field and a cosmological constant. These space-times contain static dyonic black holes with various horizon geometries and their time-dependent radiating generalizations, as well as a class of stealth solutions.

Extensions to f(R) and the Gauss-Bonnet gravity are mentioned.

Keywords

• Robinson-Trautman spacetime
• electrodynamics
• higher dimensions