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Energy and angular momentum in generic F (Riemann) theories

Senturk, Cetin
Sisman, Tahsin Cagri
Tekin, Bayram
We construct the conserved charge of generic gravity theories built on arbitrary contractions of the Riemann tensor (but not on its derivatives) for asymptotically (anti)-de Sitter spacetimes. Our construction is a generalization of the Abbott-Deser-Tekin charges of linear and quadratic gravity theories in cosmological backgrounds. As an explicit example we find the energy and angular momentum of the Banados-Teitelboim-Zanelli black hole in the (2 + 1)-dimensional Born-Infeld gravity. DOI: 10.1103/PhysRevD.86.124030