Radial excitations of non-static $J=0$ black holes in Einstein-Maxwell-Chern-Simons gravity

TL;DR

This paper explores extremal 5D Einstein-Maxwell-Chern-Simons black holes, revealing new non-unique, radially excited solutions with zero angular momentum that approach Reissner-Nordström black holes at higher excitation levels.

Contribution

It introduces radially excited non-static black hole solutions in 5D Einstein-Maxwell-Chern-Simons theory, extending the understanding of black hole uniqueness and solution structure.

Findings

Discovery of new black hole branches violating uniqueness.

Identification of non-static radially excited solutions with zero angular momentum.

Solutions approach Reissner-Nordström black holes as excitation increases.

Abstract

We study the generalization of the Kerr-Newmann black hole in 5D Einstein-Maxwell-Chern-Simons theory with free Chern-Simons coupling parameter. These black holes possess equal magnitude angular momenta and an event horizon of spherical topology. We focus on the extremal case with zero temperature. We find that, when the Chern-Simons coupling is greater than two times the supergravity case, new branches of black holes are found which violate uniqueness. In particular, a sequence of these black holes are non-static radially excited solutions with vanishing angular momentum. They approach the Reissner-Nordstr\"om solution as the excitation level increases.