One entropy function to rule them all

Abstract

We study the entropy of extremal four dimensional black holes and five dimensional black holes and black rings is a unified framework using Sen's entropy function and dimensional reduction. The five dimensional black holes and black rings we consider project down to either static or stationary black holes in four dimensions. The analysis is done in the context of two derivative gravity coupled to abelian gauge fields and neutral scalar fields. We apply this formalism to various examples including $U(1{)}^3$ minimal supergravity.

29 pages, 2 figures, revised version for publication, details added

References in corpus (63)

• N=2 Extremal Black Holes
• All supersymmetric solutions of minimal supergravity in five dimensions
• Supersymmetry and Attractors
• Black Hole Entropy in M-Theory
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Black Holes and Critical Points in Moduli Space
• A supersymmetric black ring
• Exact Counting of Black Hole Microstates
• Corrections to macroscopic supersymmetric black-hole entropy
• Non-Supersymmetric Attractors
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• General Concentric Black Rings
• Rotating Attractors
• 11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds
• New Connections Between 4D and 5D Black Holes
• Supersymmetric black rings and three-charge supertubes
• Non-Supersymmetric Attractors in String Theory
• Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
• Compactification of D=11 supergravity on spaces of exceptional holonomy
• Entropy Function for Heterotic Black Holes
• A Stringy Cloak for a Classical Singularity
• The Non-BPS Black Hole Attractor Equation
• How Does a Fundamental String Stretch its Horizon?
• New Attractors
• Black Rings in Taub-NUT
• Black Hole Microstates and Attractor Without Supersymmetry
• N=2 Heterotic Superstring and its Dual Theory in Five Dimensions
• Broken sigma-model isometries in very special geometry
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Non-supersymmetric Meta-Stable vacua in SU(N) SQCD with adjoint matter
• Non-supersymmetric black rings as thermally excited supertubes
• Enhancement of Supersymmetry Near 5d Black Hole Horizon
• Supersymmetric 4D Rotating Black Holes from 5D Black Rings
• New Attractors and Area Codes
• Entropy function and attractors for AdS black holes
• Exact Attractive Non-BPS STU Black Holes
• Orbits and Attractors for N=2 Maxwell-Einstein Supergravity Theories in Five Dimensions
• 5D Black Rings and 4D Black Holes
• alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory
• Non-Supersymmetric Attractors and Entropy Function
• Area law corrections from state counting and supergravity
• A C-Function For Non-Supersymmetric Attractors
• New Attractors, Entropy Function and Black Hole Partition Function
• Non-Supersymmetric Attractors in $R^2$ Gravities
• Critical points of the Black-Hole potential for homogeneous special geometries
• Attractors and Black Rings
• Black hole entropy functions and attractor equations
• Examples of stationary BPS solutions in N=2 supergravity theories with R^2-interactions
• Extremal single-charge small black holes: Entropy function analysis
• Lovelock type gravity and small black holes in heterotic string theory
• Spinning Strings as Small Black Rings
• Extremal non-BPS black holes and entropy extremization
• Exactly Soluble BPS Black Holes in Higher Curvature N=2 Supergravity
• From BPS to Non-BPS Black Holes Canonically
• Entropy function for rotating extremal black holes in very special geometry
• The Attractor Mechanism in Five Dimensions
• Non-Supersymmetric Attractors in BI black holes
• Partition function of non-supersymmetric black holes in the supergravity limit
• Supersymmetric Probes in a Rotating 5D Attractor
• Non-Abelian Magnetized Blackholes and Unstable Attractors

Cited by in corpus (27)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds
• String Theory Effects on Five-Dimensional Black Hole Physics
• Precision Entropy of Spinning Black Holes
• On Attractor Mechanism and Entropy Function for Non-extremal Black Holes/Branes
• Near-horizon analysis of D=5 BPS black holes and rings
• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• On Entropy Function for Supersymmetric Black Rings
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory
• Near the horizon of 5D black rings
• Properties of rotating Einstein-Maxwell-Dilaton black holes in odd dimensions
• Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant
• Intersecting Attractors
• Entropy Functions with 5D Chern-Simons terms
• Near Horizon Analysis of Extremal AdS5 Black Holes
• Radially excited rotating black holes in Einstein-Maxwell-Chern-Simons theory
• Modulated Instability in Five-Dimensional U(1) Charged AdS Black Hole with R**2-term
• Exact Microscopic Entropy of Non-Supersymmetric Extremal Black Rings
• alpha'-corrections and heterotic black holes
• Attractors and first order formalism in five dimensions revisited
• CFT Duals of Black Rings With Higher Derivative Terms
• Angular momentum-area proportionality of extremal charged black holes in odd dimensions
• More on entropy function formalism for non-extremal branes
• Radially Excited AdS${}_5$ Black Holes in Einstein--Maxwell--Chern--Simons Theory
• Extremal rotating black holes in Einstein-Maxwell-Chern-Simons theory: radially excited solutions and non-uniqueness
• Contributions of Riemann invariants to the Entropy of Extremal Black Holes