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arXiv · 1408.6754

On static black holes solutions in Einstein and Einstein-Gauss-Bonnet gravity with topology ${\bf SO(n) \times SO(n)}$

Josep M. Pons·Naresh Dadhich
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Abstract

We study static black hole solutions in Einstein and Einstein-Gauss-Bonnet gravity with product two-spheres topology, ${\bf SO(n) \times SO(n)}$, in higher dimensions. There is an unusual new feature of Gauss-Bonnet black hole that the avoidance of non-central naked singularity prescribes a mass range for black hole in terms of $\Lambda>0$. For Einstein-Gauss-Bonnet black hole a limited window of negative values for $\Lambda$ is also permitted. This topology encompasses black string and brane as well as a generalized Nariai metric. We also give new solutions with product two-spheres of constant curvatures.

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Josep M. Pons, Naresh Dadhich. 2014-08-28. On static black holes solutions in Einstein and Einstein-Gauss-Bonnet gravity with topology ${\bf SO(n) \times SO(n)}$. https://arxiv.org/abs/1408.6754

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