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Physical Review D

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Five-dimensional black strings in Einstein-Gauss-Bonnet gravity

Tsutomu Kobayashi^* and Takahiro Tanaka^†

Department of Physics, Kyoto University, Kyoto 606-8502, Japan

^*Electronic address: tsutomu@tap.scphys.kyoto-u.ac.jp
^†Electronic address: tama@scphys.kyoto-u.ac.jp

Phys. Rev. D 71, 084005 – Published 5 April, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.084005

Abstract

We consider black-string-type solutions in five-dimensional Einstein-Gauss-Bonnet gravity. Numerically constructed solutions under static, axially symmetric and translationally invariant metric ansatz are presented. The solutions are specified by two asymptotic charges: mass of a black string and a scalar charge associated with the radion part of the metric. Regular black string solutions are found if and only if the two charges satisfy a fine-tuned relation, and otherwise the spacetime develops a singular event horizon or a naked singularity. We can also generate bubble solutions from the black strings by using a double Wick rotation.

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