Pure Gauss-Bonnet NUT Black Hole Solution: I

Abstract

We find a new exact Λ-vacuum solution in pure Gauss-Bonnet gravity with NUT charge in six dimension with horizon having product topology S (2) ×S (2) . We also discuss its horizon and singularity structure, and consequently arrive at a parameter window for its physical viability. It should be noted that all NUT black hole solutions in higher dimensions have product, instead of spherical, topology. We prove, in general, that it is because of the radial symmetry of the NUT spacetime; i.e. in higher dimensions NUT spacetime cannot maintain radial symmetry unless horizon has S (2) or its product topology. On the way we also prove a general result for spherical symmetry that when null energy condition is satisfied, one has then only to solve a first order equation to get a vacuum or Λ-vacuum solution.

Exact Solutions in Higher-Dimensional Lovelock and $AdS_5$ Chern-Simons Gravity

“…For instance, higherdimensional NUT black hole solutions are discussed in Refs. [69,70], where the authors find out solutions of pure Gauss-Bonnet Λ-vacuum equation describing a black hole with NUT charge. As a final remark, notice that Eq.…”

Exact solutions in higher-dimensional Lovelock and AdS 5 Chern-Simons gravity

“…For instance, higher-dimensional NUT black hole solutions are discussed in refs. [87,88], where the authors find out solutions of pure Gauss-Bonnet Λ-vacuum equation describing a black hole with NUT charge.…”