Static and radiating dyonic black holes coupled to conformally invariant electrodynamics in higher dimensions

Understand

We investigate the complete family of (aligned) Robinson-Trautman spacetimes sourced by conformally invariant non-linear electrodynamics in $D$ dimensions in the presence of an arbitrary cosmological constant.

• After presenting general features of the solutions (which exist only in even dimensions), we discuss in more detail some particular subclasses.
• Static metrics contain dyonic black holes with various possible horizon geometries (K\"ahler if there is a magnetic field, including flat branes) and different asymptotics.
• In addition, there exist also time-dependent solutions (not possible in the $D>4$ linear theory) which may represent white hole evaporation by emission of electromagnetic radiation (or a time-reversed picture of black hole formation).