Kaluza-Klein Black Hole with Gravitational Charge in Einstein-Gauss Gravity

Details Kaluza-Klein Black Hole with Gravitational Charge in Einstein-Gauss Gravity Kaluza-Klein Black Hole with Gravitational Charge in Einstein-Gauss Gravity

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1406m&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

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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 Mn ≈ M4 × Hn-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. It is a pure gravitational creation including Maxwell field in four-dimensional vacuum spacetime. This paper is based on the results in Ref. 1.

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