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arxiv: 1312.1323 · v2 · pith:EVASMDBOnew · submitted 2013-12-04 · ✦ hep-th · gr-qc

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

classification ✦ hep-th gr-qc
keywords secondblackeinstein-gauss-bonnetgravityholdsholeholeshowever
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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.

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