### Abstract

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.

Original language | English (US) |
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Pages (from-to) | 509-514 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 638 |

Issue number | 5-6 |

DOIs | |

State | Published - Jul 20 2006 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*638*(5-6), 509-514. https://doi.org/10.1016/j.physletb.2006.05.074

**Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind.** / Dubovsky, S. L.; Sibiryakov, S. M.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 638, no. 5-6, pp. 509-514. https://doi.org/10.1016/j.physletb.2006.05.074

}

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.

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.

UR - http://www.scopus.com/inward/record.url?scp=33745497729&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33745497729&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2006.05.074

DO - 10.1016/j.physletb.2006.05.074

M3 - Article

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

SN - 0370-2693

IS - 5-6

ER -