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.
Note on counterterms in asymptotically flat spacetimes
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abstract
We consider in more detail the covariant counterterm proposed by Mann and Marolf in asymptotically flat spacetimes. With an eye to specific practical computations using this counterterm, we present explicit expressions in general $d$ dimensions that can be used in the so-called `cylindrical cut-off' to compute the action and the associated conserved quantities for an asymptotically flat spacetime. As applications, we show how to compute the action and the conserved quantities for the NUT-charged spacetime and for the Kerr black hole in four dimensions.
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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.