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Energy and Angular Momentum in Generic F(Riemann) Theories

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arxiv 1209.2056 v2 pith:7VEMTNC4 submitted 2012-09-10 hep-th gr-qc

Cetin Senturk , Tahsin Cagri Sisman , Bayram Tekin This is my paper · ORCID
classification hep-thgr-qc
keywords gravitytheoriesangularenergygenericmomentumriemannanti
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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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  1. Quasi-local energy and ADM mass in pure Lovelock gravity

    gr-qc 2019-08 accept novelty 6.0 of 10

    In pure Lovelock gravity, the large-surface limit of the variation of Brown-York quasi-local energy equals the variation of the ADM mass, giving an explicit new mass formula.

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