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

TL;DR

This paper reviews recent findings on higher-dimensional Robinson-Trautman spacetimes coupled with conformally invariant non-linear electrodynamics, highlighting static and radiating black hole solutions and extensions to modified gravity theories.

Contribution

It provides a comprehensive summary of new solutions involving conformally invariant electrodynamics in higher-dimensional Robinson-Trautman spacetimes, including black holes and stealth solutions.

Findings

Existence of static dyonic black holes with various horizons

Time-dependent radiating solutions generalizing static black holes

Presence of stealth solutions with no gravitational effect

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.