First order flow for non-extremal AdS black holes and mass from holographic renormalization

A bstract In this paper we present a first order formulation for non-extremal Anti-de Sitter black hole solutions in four dimensional N =2 U(1)-gauged Supergravity. The dynamics is determined in terms of a quantity W which plays the role of a superpotential for the gauging potential in the action. W...

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Veröffentlicht in:The journal of high energy physics 2014-10, Vol.2014 (10), p.1, Article 75
Hauptverfasser: Gnecchi, Alessandra, Toldo, Chiara
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description A bstract In this paper we present a first order formulation for non-extremal Anti-de Sitter black hole solutions in four dimensional N =2 U(1)-gauged Supergravity. The dynamics is determined in terms of a quantity W which plays the role of a superpotential for the gauging potential in the action. We show how the first order flow arises from writing the action as a sum of squares and we identify the superpotential driving the first order flow for two classes of solutions (electric and magnetic) of the t 3 model. After identifying W , we study the Hamilton-Jacobi holographic renormalization procedure in presence of mixed boundary conditions for the scalar fields. We compute the renormalized on-shell action and the mass of the black hole configurations. The expression obtained for the mass satisfies the first law of thermodynamics.
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subjects Black holes
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
title First order flow for non-extremal AdS black holes and mass from holographic renormalization
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