Energy and angular momentum in generic F (Riemann) theories

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Senturk C., Sisman T. C. , Tekin B.

PHYSICAL REVIEW D, cilt.86, 2012 (SCI İndekslerine Giren Dergi) identifier identifier


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