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.
Energy and Angular Momentum in Generic F(Riemann) Theories
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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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gr-qc 1years
2019 1verdicts
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Quasi-local energy and ADM mass in pure Lovelock gravity
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.