A C-Function For Non-Supersymmetric Attractors

Abstract

We present a c-function for spherically symmetric, static and asymptotically flat solutions in theories of four-dimensional gravity coupled to gauge fields and moduli. The c-function is valid for both extremal and non-extremal black holes. It monotonically decreases from infinity and in the static region acquires its minimum value at the horizon, where it equals the entropy of the black hole. Higher dimensional cases, involving $p$-form gauge fields, and other generalisations are also discussed.

References added

References in corpus (24)

• The Holographic Weyl anomaly
• N=2 Extremal Black Holes
• Supersymmetry and Attractors
• Black Hole Attractors and the Topological String
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
• Black Holes and Critical Points in Moduli Space
• Universality of Sypersymmetric Attractors
• Supergravity flows and D-brane stability
• Exact Counting of Black Hole Microstates
• Solitonic Strings and BPS Saturated Dyonic Black Holes
• Corrections to macroscopic supersymmetric black-hole entropy
• Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
• Non-Supersymmetric Attractors
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
• New Attractors
• Hartle-Hawking Wave-Function for Flux Compactifications
• Black Holes and U-Duality
• Split attractor flows and the spectrum of BPS D-branes on the Quintic
• Finite Action in d5 Gauged Supergravity and Dilatonic Conformal Anomaly for Dual Quantum Field Theory
• Holography, a covariant c-function, and the geometry of the renormalization group

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