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Near horizon gravitational charges

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arxiv 2201.10308 v3 pith:PXU67ZC2 submitted 2022-01-25 hep-th gr-qc

Hai-Shan Liu , Pujian Mao This is my paper · ORCID
classification hep-thgr-qc
keywords termchargesgravitationalhorizonneargauss-bonnetpontryaginterms
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In this paper, we study the near horizon symmetry and gravitational charges in the Newman-Penrose formalism. In particular we investigate the effect from topological terms. We find that the Pontryagin term and Gauss-Bonnet term have significant influence on the near horizon charges and bring interesting novel features. We show that the gravitational charge derived from a general class of topological terms including the Pontryagin term and Gauss-Bonnet term can be obtained from the ambiguities of the symplectic potential.

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  1. Higher-curvature corrections and near horizon symmetries

    hep-th 2025-06 conditional novelty 6.0 of 10

    Near-horizon supertranslation charges in Lovelock gravity are nested curvature invariants weighted by a supertranslation function, and in four dimensions they reduce to the Jackiw-Teitelboim action.

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