Magnetic mass in 4D AdS gravity

René Araneda, Rodrigo Aros, Olivera Miskovic, Rodrigo Olea

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


We provide a fully covariant expression for the diffeomorphic charge in four-dimensional 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.

Original languageEnglish
Article number084022
JournalPhysical Review D
Issue number8
StatePublished - 13 Apr 2016


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