European Physical Journal C: Particles and Fields (Apr 2022)

Pure Gauss–Bonnet NUT black hole solution: I

  • Sajal Mukherjee,
  • Naresh Dadhich

DOI
https://doi.org/10.1140/epjc/s10052-022-10256-6
Journal volume & issue
Vol. 82, no. 4
pp. 1 – 11

Abstract

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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.