Magnetic Mass in 4D AdS Gravity

Abstract

We provide a fully-covariant expression for the diffeomorphic charge in 4D anti-de Sitter gravity, when the Gauss-Bonnet and Pontryagin terms are added to the action. The couplings of these topological invariants are such that the Weyl tensor and its dual appear in the on-shell variation of the action, and such that the action is stationary for asymptotic (anti) self-dual solutions in the Weyl tensor. In analogy with Euclidean electromagnetism, whenever the self-duality condition is global, both the action and the total charge are identically vanishing. Therefore, for such configurations the magnetic mass equals the Ashtekhar-Magnon-Das definition.

21 pages, no figures; one reference added; final version for PRD

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• Nonlinear extensions of gravitating dyons: from NUT wormholes to Taub-Bolt instantons
• Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes
• Hairy Taub-NUT/Bolt-AdS solutions in Horndeski theory
• Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime
• Energy in Higher-Derivative Gravity via Topological Regularization
• Noether-Wald charges in six-dimensional Critical Gravity
• Dual Charges for AdS Spacetimes and the First Law of Black Hole Mechanics
• Self-dual Gravitational Instantons in Conformal Gravity: Conserved Charges and Thermodynamics
• Gravitational instantons with conformally coupled scalar fields
• Topological invariants and the definition of energy in quadratic gravity theory
• Noether-Wald energy in Critical Gravity
• Near horizon gravitational charges
• Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
• Axial anomaly in nonlinear conformal electrodynamics
• Chern-Simons Gravities (CSG) and Gravitational Chern-Simons (GCS) densities in all dimensions
• Higher-curvature generalization of Eguchi-Hanson spaces
• Taming Dirac strings and timelike loops in vacuum gravity
• Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes
• Black holes with topological charges in Chern-Simons AdS${}_5$ supergravity
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Self duality in unconventional conformal supersymmetry
• A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime
• The entropy of Taub-Bolt-AdS from an improved action principle