Energy and angular momentum in generic F (Riemann) theories

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

PHYSICAL REVIEW D, vol.86, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 86
  • Publication Date: 2012
  • Doi Number: 10.1103/physrevd.86.124030
  • Journal Name: PHYSICAL REVIEW D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Middle East Technical University Affiliated: Yes


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