Regular Article - Theoretical Physics
Pure Gauss–Bonnet NUT black hole solution: I
Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, 411007, Pune, India
2 Astronomical Institue of the Czech Academy of Sciences, Bocni II 1401/1a, 14100, Prague, Czech Republic
Accepted: 27 March 2022
Published online: 7 April 2022
We obtain an exact -vacuum solution in the pure Gauss–Bonnet gravity with NUT charge in six dimension, with horizon having the product topology of . 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 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.
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