Mass in anti-de Sitter spaces

Abstract

The boundary stress tensor approach has proven extremely useful in defining mass and angular momentum in asymptotically anti-de Sitter spaces with CFT duals. An integral part of this method is the use of boundary counterterms to regulate the gravitational action and stress tensor. In addition to the standard gravitational counterterms, in the presence of matter we advocate the use of a finite counterterm proportional to phi^2 (in five dimensions). We demonstrate that this finite shift is necessary to properly reproduce the expected mass/charge relation for R-charged black holes in AdS_5.

15 pages, latex

References in corpus (5)

• General supersymmetric AdS5 black holes
• Supersymmetric AdS5 black holes
• Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
• Black hole mass and Hamilton-Jacobi counterterms
• Negative Energy in String Theory and Cosmic Censorship Violation

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• Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime
• No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime
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• Bubbling AdS Black Holes
• AdS_5 Black Holes with Fermionic Hair
• Global monopoles, cosmological constant and maximal mass conjecture
• Half-BPS Geometries and Thermodynamics of Free Fermions
• Holographic Superconductors in a Cohesive Phase
• Quasi-Normal Modes from Non-Commutative Matrix Dynamics
• Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula
• Newton-Cartan Gravity in Noninertial Reference Frames