BTZ black holes and the near-horizon geometry of higher-dimensional black holes

Abstract

We investigate the connection between the BTZ black holes and the near-horizon geometry of higher-dimensional black holes. Under mild conditions, we show that (i) if a black hole has a global structure of the type of the non-extremal Reissner-Nordstrom black holes, its near-horizon geometry is $Ad{S}_2$ times a sphere, and further (ii) if such a black hole is obtained from a boosted black string by dimensional reduction, the near-horizon geometry of the latter contains a BTZ black hole. Because of these facts, the calculation of the Bekenstein-Hawking entropy and the absorption cross-sections of scalar fields is essentially reduced to the corresponding calculation in the BTZ geometry under appropriate conditions. This holds even if the geometry is not supersymmetric in the extremal limit. Several examples are discussed. We also discuss some generalizations to geometries which do not have $AdS$ near the horizon.

19 pages, LaTex, (v2) a comment on black holes with 2 and 3 charges added, (v3) some phrases made more precise, references added, minor changes; version to appear in Phys. Rev. D

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Cited by in corpus (12)

• Anti-de Sitter Fragmentation
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Black holes and branes in string theory
• Winding strings and AdS_3 black holes
• Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity
• Universal near-horizon conformal structure and black hole entropy
• Massless BTZ black holes in minisuperspace
• Kaluza-Klein theory, AdS/CFT correspondence and black hole entropy
• $n+1$-dimensional Bertotti-Robinson solutions in gravity coupled with nonlinear electrodynamics
• The effective sigma-model of multidimensional gravity
• Comment on Counting Black Hole Microstates Using String Dualities
• Geometric torsion, 4-form, Riemann duals and Quintessence