Topological black holes in anti-de Sitter space

1998/08/31 by Danny Birmingham · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Conformal map #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Entropy (arrow of time) #Event horizon #Horizon #Manifold (fluid mechanics) #Noncommutative and Quantum Gravity Theories #de Sitter–Schwarzschild metric #hep-th

paper · pdf · doi:10.1088/0264-9381/16/4/009

published as Class.Quant.Grav. 16 (1999) 1197-1205 · 10 pages, Latex, v2 Computation of action corrected, conclusions unchanged, references added, v3 To appear in Classical and Quantum Gravity

openalex publication_date 1999/01/01 · arxiv created 1999/01/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a ( d - 2 )-dimensional Einstein manifold of positive, zero or negative curvature. The mass, temperature and entropy are calculated. Using the correspondence with conformal field theory, the phase structure of the solutions is examined, and used to determine the correct mass dependence of the Bekenstein-Hawking entropy.

Citations

• String theory and classical absorption by three-branes
• The sum over topologies in three-dimensional Euclidean quantum gravity
• Vacuum interpolation in supergravity via super p-branes
• World-volume approach to absorption by non-dilatonic branes
• Rotating Topological Black Holes
• Dominant topologies in Euclidean quantum gravity
• Black holes with unusual topology
• Thermodynamics of black holes in anti-de Sitter space
• Semiclassical decay of near extremal fivebranes
• Cylindrical Black Hole in General Relativity
• The large N limit of superconformal field theories and supergravity

Cited by

• Non-existence of black holes in certain < 0 spacetimes