Pure Gauss–Bonnet NUT black hole solution: I

Abstract

Abstract We obtain an exact $$\Lambda $$ Λ -vacuum solution in the pure Gauss–Bonnet gravity with NUT charge in six dimension, with horizon having the product topology of $$S^{(2)} \times S^{(2)}$$ S ( 2 ) × S ( 2 ) . We discuss its horizon and singularity structure, and consequently arrive at parameter windows for its physical viability. It turns out that for the curvatures to remain function of r alone for NUT black hole spacetime, horizon topology has to be product of $$S^{(2)}$$ S ( 2 ) spheres. This is true for Einstein as well as for pure Gauss–Bonnet gravity, and perhaps would hold good for higher order pure Lovelock as well.