Charged-rotating black holes and black strings in higher dimensional Einstein-Maxwell theory with a positive cosmological constant

TL;DR

This paper demonstrates the existence of charged, rotating black holes and black strings in higher-dimensional Einstein-Maxwell theory with a positive cosmological constant, revealing new solutions with distinct horizon and asymptotic properties.

Contribution

It introduces new higher-dimensional black hole and black string solutions with positive cosmological constant, expanding the understanding of such objects in Einstein-Maxwell theory.

Findings

Existence of charged, rotating black holes in odd dimensions with positive cosmological constant.

Black string solutions with regular horizons but non-de Sitter asymptotics.

Black strings exhibit naked singularities at finite proper distance.

Abstract

We present arguments for the existence of charged, rotating black holes in $d=2N+1$ dimensions, with $d\geq 5$ with a positive cosmological constant. These solutions posses both, a regular horizon and a cosmological horizon of spherical topology and have $N$ equal-magnitude angular momenta. They approach asymptotically the de Sitter spacetime background. The counterpart equations for $d=2N+2$ are investigated, by assuming that the fields are independant of the extra dimension $y$, leading to black strings solutions. These solutions are regular at the event horizon. The asymptotic form of the metric is not the de Sitter form and exhibit a naked singularity at finite proper distance.