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Distortion of Schwarzschild-anti-de Sitter black holes to black strings

A. Tomimatsu
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Abstract

Motivated by the existence of black holes with various topologies in four-dimensional spacetimes with a negative cosmological constant, we study axisymmetric static solutions describing any large distortions of Schwarzschild-anti-de Sitter black holes parametrized by the mass $m$. Under the approximation such that $m$ is much larger than the anti-de Sitter radius, it is found that a cylindrically symmetric black string is obtained as a special limit of distorted spherical black holes. Such a prolonged distortion of the event horizon connecting a Schwarzschild-anti-de Sitter black hole to a black string is allowed without violating both the usual black hole thermodynamics and the hoop conjecture for the horizon circumference.

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A. Tomimatsu. 2005-06-25. Distortion of Schwarzschild-anti-de Sitter black holes to black strings. https://doi.org/10.1103/physrevd.71.124044

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