Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-02-15
Phys.Rev.D75:101502,2007
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, 1 figure; v2. Added reference, and a remark concerning the assumption that the entropy radiated in fields responsible
Scientific paper
10.1103/PhysRevD.75.101502
We show that any Lorentz violating theory with two or more propagation speeds is in conflict with the generalized second law of black hole thermodynamics. We do this by identifying a classical energy-extraction method, analogous to the Penrose process, which would decrease the black hole entropy. Although the usual definitions of black hole entropy are ambiguous in this context, we require only very mild assumptions about its dependence on the mass. This extends the result found by Dubovsky and Sibiryakov, which uses the Hawking effect and applies only if the fields with different propagation speeds interact just through gravity. We also point out instabilities that could interfere with their black hole {\it perpetuum mobile}, but argue that these can be neglected if the black hole mass is sufficiently large.
Eling Christopher
Foster Brendan Z.
Jacobson Ted
Wall Aron C.
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