Entropy function and attractors for AdS black holes

2006/08/28 by Jose F. Morales, Josè Francisco Morales, Henning Samtleben · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/10/074

published as JHEP 0610 (2006) 074 · 27 pages, no figures, references added

arxiv created 2006/08/28 · openalex publication_date 2006/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We apply Sen's entropy formalism to the study of the near horizon geometry and the entropy of asymptotically AdS black holes in gauged supergravities. In particular, we consider non-supersymmetric electrically charged black holes with AdS₂ xS^d-2 horizons in U(1)⁴ and U(1)³ gauged supergravities in d=4 and d=5 dimensions, respectively. We study several cases including static/rotating, BPS and non-BPS black holes in Einstein as well as in Gauss-Bonnet gravity. In all examples, the near horizon geometry and black hole entropy are derived by extremizing the entropy function and are given entirely in terms of the gauge coupling, the electric charges and the angular momentum of the black hole.

Citations

• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• From BPS to Non-BPS Black Holes Canonically
• R4corrections toD1D5pblack hole entropy from entropy function formalism
• Black hole/string transition for the small Schwarzschild black hole of AdS 5 × S5 and critical unitary matrix models
• On Lagrangians and gaugings of maximal supergravities
• Euclidean and Noetherian entropies in AdS space
• Magic supergravities,N=8and black hole composites

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• Charges from attractors