TY - JOUR
T1 - Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
AU - Dubovsky, S. L.
AU - Sibiryakov, S. M.
N1 - Funding Information:
We thank Nima Arkani-Hamed, Dmitry Levkov, Shinji Mukohyama, Alberto Nicolis, Valery Rubakov, Mattias Zaldarriaga and especially Alexey Boyarsky and Fedor Bezrukov for helpful discussions. The work of S.S. is supported by RFBR grant 05-02-17363, the grant of the President of the Russian Federation MK-2205.2005.2 and the grant of the Russian Science Support Foundation.
PY - 2006/7/20
Y1 - 2006/7/20
N2 - We study the effect of spontaneous breaking of Lorentz invariance on black hole thermodynamics. We consider a scenario where Lorentz symmetry breaking manifests itself by the difference of maximal velocities attainable by particles of different species in a preferred reference frame. The Lorentz breaking sector is represented by the ghost condensate. We find that the notions of black hole entropy and temperature loose their universal meaning. In particular, the standard derivation of the Hawking radiation yields that a black hole does emit thermal radiation in any given particle species, but with temperature depending on the maximal attainable velocity of this species. We demonstrate that this property implies violation of the second law of thermodynamics, and hence, allows construction of a perpetuum mobile of the 2nd kind. We discuss possible interpretation of these results.
AB - We study the effect of spontaneous breaking of Lorentz invariance on black hole thermodynamics. We consider a scenario where Lorentz symmetry breaking manifests itself by the difference of maximal velocities attainable by particles of different species in a preferred reference frame. The Lorentz breaking sector is represented by the ghost condensate. We find that the notions of black hole entropy and temperature loose their universal meaning. In particular, the standard derivation of the Hawking radiation yields that a black hole does emit thermal radiation in any given particle species, but with temperature depending on the maximal attainable velocity of this species. We demonstrate that this property implies violation of the second law of thermodynamics, and hence, allows construction of a perpetuum mobile of the 2nd kind. We discuss possible interpretation of these results.
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U2 - 10.1016/j.physletb.2006.05.074
DO - 10.1016/j.physletb.2006.05.074
M3 - Article
AN - SCOPUS:33745497729
SN - 0370-2693
VL - 638
SP - 509
EP - 514
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 5-6
ER -