Pure Gauss–Bonnet NUT black hole solution: I
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 param...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10256-6 |
| Summary: | 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. |
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| ISSN: | 1434-6052 |