The second law in four-dimensional Einstein-Gauss-Bonnet gravity

Saugata Chatterjee, Maulik Parikh

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Abstract

The topological contribution of a Gauss-Bonnet term in four dimensions to black hole entropy opens up the possibility of a violation of the second law of thermodynamics in black hole mergers. We show, however, that the second law is not violated in the regime where Einstein-Gauss-Bonnet holds as an effective theory and black holes can be treated thermodynamically. For mergers of anti-de Sitter (AdS) black holes, the second law appears to be violated even in Einstein gravity; we argue, however, that the second law holds when gravitational potential energy is taken into account.

Original languageEnglish (US)
Article number155007
JournalClassical and Quantum Gravity
Volume31
Issue number15
DOIs
Publication statusPublished - Aug 7 2014

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Keywords

  • AdS
  • black hole
  • entropy
  • Gauss-Bonnet

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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