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

Journal Article · Wed Jun 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.124044· OSTI ID:20709588

Tomimatsu, Akira ^[1]

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1. Department of Physics, Nagoya University, Nagoya 464-8602 (Japan)

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.

• OSTI ID: 20709588
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL SYMMETRY
BLACK HOLES
COSMOLOGICAL CONSTANT
COSMOLOGY
DE SITTER GROUP
MASS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SPACE-TIME
STRING MODELS
THERMODYNAMICS
TOPOLOGY