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Energy and Angular Momentum in Generic F(Riemann) Theories

High Energy Physics - Theory 2012-12-20 v2 General Relativity and Quantum Cosmology

Abstract

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 ADT charges of linear and quadratic gravity theories in cosmological backgrounds. As an explicit example we find the energy and angular momentum of the BTZ black hole in the 2+1 dimensional Born-Infeld gravity.

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Cite

@article{arxiv.1209.2056,
  title  = {Energy and Angular Momentum in Generic F(Riemann) Theories},
  author = {Cetin Senturk and Tahsin Cagri Sisman and Bayram Tekin},
  journal= {arXiv preprint arXiv:1209.2056},
  year   = {2012}
}

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7 pages