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arxiv: gr-qc/0402044 · v4 · submitted 2004-02-10 · 🌀 gr-qc · hep-th

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On Gauss-Bonnet black hole entropy

Tim Clunan , Simon F. Ross , Douglas J. Smith
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classification 🌀 gr-qc hep-th
keywords entropyblackchargegauss-bonnetadditiveambiguityappearanceapproach
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We investigate the entropy of black holes in Gauss-Bonnet and Lovelock gravity using the Noether charge approach, in which the entropy is given as the integral of a suitable (n-2) form charge over the event horizon. We compare the results to those obtained in other approaches. We also comment on the appearance of negative entropies in some cases, and show that there is an additive ambiguity in the definition of the entropy which can be appropriately chosen to avoid this problem.

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Cited by 1 Pith paper

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    Solving the Fokker-Planck equation shows RN-AdS black hole phase transitions synchronize with a peak in entropy production rate, driven by maximum thermodynamic dissipation.