2016/02/29 by Rene Araneda, René Araneda, Rodrigo Aros +3 · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Diffeomorphism #Duality (order theory) #Geometry #Gravitation #Graviton #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Riemann curvature tensor #Tensor (intrinsic definition) #Weyl tensor #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.93.084022
published as Phys. Rev. D 93, 084022 (2016) · 21 pages, no figures; one reference added; final version for PRD
openalex publication_date 2016/04/13 · arxiv created 2016/04/17 · arxiv updated 2016/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.