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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• Supersymmetric AdS_4 black holes and attractors
• The Lovelock Black Holes
• An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$
• stu Black Holes Unveiled
• Erice Lectures on Black Holes and Attractors
• CFT Duals for Attractor Horizons
• On attractor mechanism of $Ad{S}_4$ black holes
• Precision Entropy of Spinning Black Holes
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Trace Anomaly and Counterterms in Designer Gravity
• Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
• BPS black holes in N=2 D=4 gauged supergravities
• A nAttractor Mechanism for nAdS(2)/nCFT(1) Holography
• Attractors in Black
• On R**2 Corrections for 5D Black Holes
• Rotating BPS black holes in matter-coupled AdS(4) supergravity
• On Attractor Mechanism and Entropy Function for Non-extremal Black Holes/Branes
• 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
• A special road to AdS vacua
• On The Stability of Non-Supersymmetric Attractors in String Theory
• Near-Horizon Analysis of $\eta /s$
• On Entropy Function for Supersymmetric Black Rings
• Entropy Function for Non-Extremal Black Holes in String Theory
• 5D Black Holes and Non-linear Sigma Models
• Entropy function for rotating extremal black holes in very special geometry
• Non-supersymmetric Attractors in Born-Infeld Black Holes with a Cosmological Constant
• On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
• Comments on Charges and Near-Horizon Data of Black Rings
• Nearing 11d Extremal Intersecting Giants and New Decoupled Sectors in D = 3,6 SCFT's
• Charges from Attractors
• Non-Supersymmetric Attractors in BI black holes
• Euclidean analysis of the entropy functional formalism
• Entropy function and higher derivative corrections to entropies in (anti-)de Sitter space
• Intersecting Attractors
• Near horizon data and physical charges of extremal AdS black holes
• Entropy Functions with 5D Chern-Simons terms
• Rotating D0-branes and consistent truncations of supergravity
• Near Horizon Analysis of Extremal AdS5 Black Holes
• Stretched Horizon and Entropy of Superstars
• Non-supersymmetric Attractor with the Cosmological Constant
• Black hole microstates and supersymmetric localization
• The extremal Kerr entropy in higher-derivative gravities
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Symplectically invariant flow equations for N=2, D=4 gauged supergravity with hypermultiplets
• The Entropy Function for the extremal Kerr-(anti-)de Sitter Black Holes
• Nut-charged black holes in matter-coupled N=2, D=4 gauged supergravity
• Double-Horizon Limit and Decoupling of the Dynamics at the Horizon
• Non-supersymmetric Extremal RN-AdS Black Holes in N=2 Gauged Supergravity
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity
• Entropy of black holes in topologically massive gravity
• On Uniqueness of supersymmetric Black holes in AdS(5)
• Black holes in Sol minore
• Non-Supersymmetric Unattractors in Born-Infeld Black Holes
• More on entropy function formalism for non-extremal branes
• Dyonic AdS_4 black hole entropy and attractors via entropy function
• On the Stability of Non-Supersymmetric Quantum Attractors in String Theory
• Attractor Flows in st^2 Black Holes
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes
• Comments on Sen's Classical Entropy Function for Static and Rotating AdS${}_4$ Black Holes
• Agujeros Negros con Pelo y Dualidad AdS/CFT
• Contributions of Riemann invariants to the Entropy of Extremal Black Holes