English

The Second Law in 4D Einstein-Gauss-Bonnet Gravity

High Energy Physics - Theory 2015-01-23 v2 General Relativity and Quantum Cosmology

Abstract

The topological contribution to black hole entropy of a Gauss-Bonnet term in four dimensions 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 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.

Keywords

Cite

@article{arxiv.1312.1323,
  title  = {The Second Law in 4D Einstein-Gauss-Bonnet Gravity},
  author = {Saugata Chatterjee and Maulik Parikh},
  journal= {arXiv preprint arXiv:1312.1323},
  year   = {2015}
}

Comments

v2 is the final version as it appears in the journal

R2 v1 2026-06-22T02:21:01.528Z