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

We investigate the complete family of (aligned) Robinson-Trautman spacetimes sourced by conformally invariant nonlinear 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 (Kahler 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). For those, we comment on a quasilocal characterization of possible past horizons. Finally, we briefly discuss the special case of stealth solutions. In an Appendix, a theory-independent result on the redundancy of the gravity part of the field equations for Robinson-Trautman spacetimes is further obtained.

Automated summary

We investigated the complete family of Robinson-Trautman spacetimes sourced by conformally invariant nonlinear electrodynamics in D dimensions in the presence of an arbitrary cosmological constant. The solutions exist only in even dimensions, with static metrics containing dyonic black holes and different asymptotics. Time-dependent solutions may represent white hole evaporation or black hole formation in a time-reversed picture, and a quasilocal characterization of possible past horizons is discussed.