Entropy of black holes in , supergravity and AdS central charges

2000/04/30 by S. Cacciatori, D. Klemm, W. A. Sabra +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/s0550-3213(00)00461-2

published as Nucl.Phys. B587 (2000) 277-298 · 25 pages, Latex, no figures, references added

arxiv created 2000/05/02 · openalex publication_date 2000/10/01 · arxiv updated 2009/11/30 · openalex created_date 2019/04/25 · openalex updated_date 2026/07/28

Abstract

We consider general black holes in D=5, N=2 supergravity coupled to vector multiplets, and discuss the issue of microstate counting from various viewpoints. The statistical entropy is computed for the near-extremal case using the central charge of the AdS₂ factor appearing in the near-horizon geometry. Furthermore, we explicitly construct the duality transformation connecting electrically charged black holes to magnetically charged black strings, under which the AdS₂ × S³ near horizon geometry becomes AdS₃ × S². For AdS₃ the counting of microstates correctly reproduces the Bekenstein-Hawking entropy, thus resolving the discrepancy previously found for AdS₂.

Citations

• Black hole in three-dimensional spacetime
• D--branes and Spinning Black Holes
• Broken sigma-model isometries in very special geometry
• The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Microscopic Origin of the Bekenstein-Hawking Entropy

Cited by

• Open strings, 2D gravity, and AdS/CFT correspondence