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 spacetimes 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 Gauss-Bonnet gravity are mentioned.

arXiv comment5 pages. Short summary of arXiv:2109.08886. Presented at the 7th Conference of the Polish Society on Relativity, Lodz, Poland, 20--23.09.2021. To appear in Acta Phys. Pol. B Proc. Suppl.. v2: an issue with some fonts fixed

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