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Black hole mass and Hamilton-Jacobi counterterms

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arxiv hep-th/0408205 v1 pith:GMLODW6Z submitted 2004-08-26 hep-th

classification hep-th
keywords blackholecountertermshamilton-jacobimassesparticularactionaddition
verification ladder T0 review T1 audit T2 compute T3 formal

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We apply the method of holographic renormalization to computing black hole masses in asymptotically anti-de Sitter spaces. In particular, we demonstrate that the Hamilton-Jacobi approach to obtaining the boundary action yields a set of counterterms sufficient to render the masses finite for four, five, six and seven-dimensional R-charged black holes in gauged supergravities. In addition, we prove that the familiar black hole thermodynamical expressions and in particular the first law continues to holds in general in the presence of arbitrary matter couplings to gravity.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Holographic renormalization and the variational problem for mixed boundary conditions via a solution-dependent superpotential-like function

    hep-th 2023-11 unverdicted novelty 6.0 of 10

    For m²L²=-2 in AdS black holes with integrable mixed boundary conditions, the cubic coefficient in the near-boundary expansion of the solution-dependent W(φ) is fixed by the boundary deformation to ensure a well-posed...

  2. The spectral gap of the ABJM model: A holographic perspective from uplifted higher-dimensional geometries

    hep-th 2026-08 reject novelty 5.0 of 10

    The paper claims a spectral gap in the ABJM dual of a 4d four-charge black brane arising from non-commuting limits, and reports an AdS3/BTZ sector after uplift, but the promised Green's function analysis is absent.

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