title: On static black holes solutions in Einstein and Einstein-Gauss-Bonnet gravity with topology [Formula: see text].
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.
authors.affiliation: Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi, 110025 India.|Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Pune, 411 007 India.
authors.forename: Naresh
authors.initials: N
authors.lastname: Dadhich
authors.affiliation: Departament d'Estructura i Constituents de la Matèria and Institut de Ciències del Cosmos (ICCUB), Facultat de Fsica, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Catalonia Spain.
authors.forename: Josep M
authors.initials: JM
authors.lastname: Pons