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Kaluza-Klein black hole with negatively curved extra dimensions in string generated gravity models

Hideki Maeda·Naresh Dadhich
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Abstract

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold with a $(n-4)$-dimensional space of constant negative curvature, i.e., its topology is locally ${\ma M}^n \approx {\ma M}^4 \times {\ma H}^{n-4}$. The solution has two parameters and asymptotically approximates to the field of a charged black hole in anti-de Sitter spacetime. The most interesting and remarkable feature is that the Gauss-Bonnet term acts like a Maxwell source for large $r$ while at the other end it regularizes the metric and weakens the central singularity.

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Hideki Maeda, Naresh Dadhich. 2006-07-14. Kaluza-Klein black hole with negatively curved extra dimensions in string generated gravity models. https://doi.org/10.1103/physrevd.74.021501

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