Conserved charges in AdS: A new formula

Abstract

We give a new construction of conserved charges in asymptotically anti-de Sitter spacetimes in Einstein's gravity. The new formula is explicitly gauge-invariant and makes direct use of the linearized curvature tensor instead of the metric perturbation. As an example, we compute the mass and angular momentum of the Kerr-AdS black holes.

arXiv comment4 pages, detailed derivations added

References in corpus (5)

• The Dynamics of General Relativity
• Energy in Generic Higher Curvature Gravity Theories
• Gravitational Energy in Quadratic Curvature Gravities
• Quasi-Local Conserved Charges in Covariant Theory of Gravity
• Conserved Charges of Higher D Kerr-AdS Spacetimes

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• Field-theoretical construction of currents and superpotentials in Lovelock gravity
• A new formula for conserved charges of Lovelock gravity in AdS spacetimes and its generalization
• Hawking Temperature as the Total Gauss-Bonnet Invariant of the Region Outside a Black Hole
• Refined Thermodynamics of Black Holes with Proper Conserved Charges
• A Systematic Construction of Kastor-Traschen Currents and their Extensions to Generic Powers of Curvature
• Second Order Gauge Invariant Perturbation Theory and Conserved Charges in Cosmological Einstein's Gravity