2007
DOI: 10.1103/physrevd.75.101502
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Lorentz violation and perpetual motion

Abstract: 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, whi… Show more

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Cited by 87 publications
(145 citation statements)
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References 21 publications
(20 reference statements)
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“…The surface gravity at the universal horizon is [43] 8) which depends on the specific dispersion relation. So the associated black hole temperature looses its universal meaning for all species of particles, then such black hole would therefore not be in equilibrium and hence, conflicts with the "zeroth law" and the generalized second law [38].…”
Section: Dispersion Relation and Group Velocitymentioning
confidence: 99%
“…The surface gravity at the universal horizon is [43] 8) which depends on the specific dispersion relation. So the associated black hole temperature looses its universal meaning for all species of particles, then such black hole would therefore not be in equilibrium and hence, conflicts with the "zeroth law" and the generalized second law [38].…”
Section: Dispersion Relation and Group Velocitymentioning
confidence: 99%
“…Also for any value of λ GB , the graviton cone coincides with the light cone in the radial direction. If not, we could have argued for the violation of the second law of thermodynamics following [46,47]. Further note that for λ GB < − 1 8 , there exists a region outside the horizon where c 2 g < 0 which will lead to the appearance of tachyonic modes, following [48].…”
Section: A Graviton Cone Tippingmentioning
confidence: 99%
“…Another model which has attracted considerable attention is the ghost condensate [445], which can be used to violate the null energy condition and constuction bouncing cosmologies [239,446,447]. It has been argued that the ghost condensate is in conflict with the 2 nd law of black hole thermodynamics [448,449]. (See [450] for a dissenting viewpoint.)…”
Section: Kinetic Screeningmentioning
confidence: 99%