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Magnetic Mass in 4D AdS Gravity
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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.
Forward citations
Cited by 3 Pith papers
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Planar AdS multi-NUT spacetimes and Kaluza-Klein multi-monopoles
Explicit planar AdS multi-NUT spacetimes are built via axionic scalars or quadratic gravity, plus planar Kaluza-Klein monopoles with varying magnetic charges.
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$\alpha'$ corrections to self-dual gravitational instantons
α' corrections leave the metric of self-dual instantons unmodified but correct the dilaton and axion fields via Gauss-Bonnet and Pontrjagin terms, with no net correction to the Euclidean action to first order.
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Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons
Chern-Simons AdS5 black holes with SU(2) solitons have entropy that receives nontrivial contributions from axial torsion and trace-torsion modes, confirmed by multiple methods.
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