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Note on counterterms in asymptotically flat spacetimes

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arxiv hep-th/0608037 v2 pith:OIPDII45 submitted 2006-08-04 hep-th gr-qc

Dumitru Astefanesei , Robert B. Mann , Cristian Stelea This is my paper · ORCID
classification hep-thgr-qc
keywords asymptoticallyflatactioncomputeconservedcountertermdimensionsquantities
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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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  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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