Entropy function and attractors for AdS black holes

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 AdS_2 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.

27 pages, no figures, references added

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Cited by in corpus (28)

• The Lovelock Black Holes
• Erice Lectures on Black Holes and Attractors
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
• Attractors in Black
• On R**2 Corrections for 5D Black Holes
• One entropy function to rule them all
• Moduli flow and non-supersymmetric AdS attractors
• Entropy Function for 4-Charge Extremal Black Holes in Type IIA Superstring Theory
• Attractor Horizon Geometries of Extremal Black Holes
• On The Stability of Non-Supersymmetric Attractors in String Theory
• On Entropy Function for Supersymmetric Black Rings
• 5D Black Holes and Non-linear Sigma Models
• Entropy Function for Non-Extremal Black Holes in String Theory
• On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
• Comments on Charges and Near-Horizon Data of Black Rings
• Charges from Attractors
• Euclidean analysis of the entropy functional formalism
• Non-Supersymmetric Attractors in BI black holes
• Intersecting Attractors
• Near Horizon Analysis of Extremal AdS5 Black Holes
• Entropy of black holes in topologically massive gravity
• On Uniqueness of supersymmetric Black holes in AdS(5)
• More on entropy function formalism for non-extremal branes
• Non-Supersymmetric Unattractors in Born-Infeld Black Holes
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes
• Contributions of Riemann invariants to the Entropy of Extremal Black Holes