Black hole entropy functions and attractor equations | Zendy

Gabriel Lopes Cardoso | Zendy; Bernard de Wit | Zendy; S. Mahapatra | Zendy

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Black hole entropy functions and attractor equations

Author(s) -

Gabriel Lopes Cardoso,

Bernard de Wit,

S. Mahapatra

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/03/085

Subject(s) - attractor , supergravity , entropy (arrow of time) , physics , mathematical physics , binary entropy function , variational principle , black hole thermodynamics , extremal black hole , mathematics , mathematical analysis , supersymmetry , classical mechanics , principle of maximum entropy , quantum mechanics , statistics

The entropy and the attractor equations for static extremal black holesolutions follow from a variational principle based on an entropy function. Inthe general case such an entropy function can be derived from the reducedaction evaluated in a near-horizon geometry. BPS black holes constitute specialsolutions of this variational principle, but they can also be derived directlyfrom a different entropy function based on supersymmetry enhancement at thehorizon. Both functions are consistent with electric/magnetic duality and forBPS black holes their corresponding OSV-type integrals give identical resultsat the semi-classical level. We clarify the relation between the two entropyfunctions and the corresponding attractor equations for N=2 supergravitytheories with higher-derivative couplings in four space-time dimensions. Wediscuss how non-holomorphic corrections will modify these entropy functions.Comment: 21 pages,LaTeX,minor change

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