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Published on: November 15, 2013
On static black holes solutions in Einstein and Einstein-Gauss-Bonnet gravity with topology [Formula: see text]
Naresh Dadhich1,2, Josep M Pons3
1Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi, 110025 India.
Abstract:
We study static black hole solutions in Einstein and Einstein-Gauss-Bonnet gravity with the topology of the product of two spheres, [Formula: see text], in higher dimensions. There is an unusual new feature of the Gauss-Bonnet black hole: the avoidance of a non-central naked singularity prescribes a mass range for the black hole in terms of [Formula: see text]. For an Einstein-Gauss-Bonnet black hole a limited window of negative values for [Formula: see text] is also permitted. This topology encompasses black strings, branes, and generalized Nariai metrics. We also give new solutions with the product of two spheres of constant curvature.
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