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 (2)

• Exactly Soluble BPS Black Holes in Higher Curvature N=2 Supergravity
• Non-Abelian Magnetized Blackholes and Unstable Attractors

Cited by in corpus (7)

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• Near Horizon Analysis of Extremal AdS5 Black Holes
• Exact Microscopic Entropy of Non-Supersymmetric Extremal Black Rings
• More on entropy function formalism for non-extremal branes
• Contributions of Riemann invariants to the Entropy of Extremal Black Holes