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Conformal mass in Einstein-Gauss-Bonnet AdS gravity

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arxiv 1501.06861 v2 pith:HH3XCMND submitted 2015-01-27 hep-th gr-qc

Conformal mass in Einstein-Gauss-Bonnet AdS gravity

classification hep-th gr-qc
keywords chargesgravityconformaleinstein-gauss-bonnetmasstensorweylaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we show that the physical information given by conserved charges for asymptotically AdS spacetimes in Einstein-Gauss-Bonnet AdS gravity is encoded in the electric part of the Weyl tensor. This result generalizes the conformal mass definition by Ashtekar-Magnon-Das (AMD) to a gravity theory with a Gauss-Bonnet term. This proof makes use of the Noether charges obtained from an action renormalized by the addition of counterterms which depend on the extrinsic curvature (Kounterterms). If the asymptotic fall-off behaviour of the Weyl tensor is same as the one considered in the AMD method, then the Kounterterm charges and the AMD charges agree in any dimension.

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