Conformal Mass in AdS gravity

Abstract

We show that the Ashtekar-Magnon-Das (AMD) mass and other conserved quantities are equivalent to the Kounterterm charges in the asymptotically AdS spacetimes that satisfy the Einstein equations, if we assume the same asymptotic fall-off behavior of the Weyl tensor as considered by AMD. This therefore implies that, in all dimensions, the conformal mass can be directly derived from the bulk action and the boundary terms, which are written in terms of the extrinsic curvature.

14 pages, no figures, 3 references added; accepted for publication in PRD

References in corpus (15)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Asymptotically Anti-de Sitter Space-times: Conserved Quantities
• Thermodynamics of Asymptotically Locally AdS Spacetimes
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• Mass, Angular Momentum and Thermodynamics in Four-Dimensional Kerr-AdS Black Holes
• Topological regularization and self-duality in four-dimensional anti-de Sitter gravity
• Regularization of odd-dimensional AdS gravity: Kounterterms
• Universal regularization prescription for Lovelock AdS gravity
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• Tension Perturbations of Black Brane Spacetimes
• Counterterms in Dimensionally Continued AdS Gravity

Cited by in corpus (16)

• N=1 and N=2 pure supergravities on a manifold with boundary
• Topological Terms and the Misner String Entropy
• Topological black holes in pure Gauss-Bonnet gravity and phase transitions
• Magnetic Mass in 4D AdS Gravity
• On the Supersymmetric Extension of Gauss-Bonnet like Gravity
• Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity
• Generalized AdS-Lorentz deformed supergravity on a manifold with boundary
• Conserved charges in asymptotically de Sitter spacetimes
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Renormalized holographic entanglement entropy for Quadratic Curvature Gravity
• Two-dimensional Lifshitz-like AdS black holes in $F(R)$ gravity
• Thermodynamics and and phase transition of topological dilatonic Lifshitz-like black holes
• Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes
• Constant curvature black holes in Einstein AdS gravity: conserved quantities
• On the geometric approach to the boundary problem in supergravity
• Holographic Weyl Anomaly and Kounterterms in AdS gravity