Second Law Violations in Lovelock Gravity for Black Hole Mergers

Details Second Law Violations in Lovelock Gravity for Black Hole Mergers Second Law Violations in Lovelock Gravity for Black Hole Mergers

2010-11-23

arxiv.org/abs/1011.4988v2

Phys.Rev.D83:124048,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 1 figure. Title change & minor revisions to match published version

Scientific paper

10.1103/PhysRevD.83.124048

We study the classical second law of black hole thermodynamics, for Lovelock theories (other than General Relativity), in arbitrary dimensions. Using the standard formula for black hole entropy, we construct scenarios involving the merger of two black holes in which the entropy instantaneously decreases. Our construction involves a Kaluza-Klein compactification down to a dimension in which one of the Lovelock terms is topological. We discuss some open issues in the definition of the second law which might be used to compensate this entropy decrease.

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