Energy and angular momentum in generic F (Riemann) theories


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Şentürk Ç., ŞİŞMAN T. Ç., TEKİN B.

Physical Review D - Particles, Fields, Gravitation and Cosmology, cilt.86, sa.12, 2012 (SCI-Expanded, Scopus)

Özet

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. © 2012 American Physical Society.