Abstract
We study black holes in the Hořava–Lifshitz gravity with a parameter λ. For 1/3≤λ<3, the black holes behave the Lifshitz black holes with dynamical exponent 0<z≤4, while for λ>3, the black holes behave the Reissner–Nordström type black hole in asymptotically flat spacetimes. Hence, these all are quite different from the Schwarzschild–AdS black hole of Einstein gravity. The temperature, mass, entropy, and heat capacity are derived for investigating thermodynamic properties of these black holes.
Similar content being viewed by others
References
P. Horava, Phys. Rev. D 79, 084008 (2009). arXiv:0901.3775 [hep-th]
P. Horava, J. High Energy Phys. 0903, 020 (2009). arXiv:0812.4287 [hep-th]
P. Hořava, Phys. Rev. Lett. 102, 161301 (2009). arXiv:0902.3657 [hep-th]
A. Volovich, C. Wen, J. High Energy Phys. 0905, 087 (2009). arXiv:0903.2455 [hep-th]
J. Kluson, J. High Energy Phys. 0907, 079 (2009). arXiv:0904.1343 [hep-th]
H. Nikolic, arXiv:0904.3412 [hep-th]
H. Nastase, arXiv:0904.3604 [hep-th]
K.I. Izawa, arXiv:0904.3593 [hep-th]
G.E. Volovik, JETP Lett. 89, 525 (2009). arXiv:0904.4113 [gr-qc]
B. Chen, Q.G. Huang, Phys. Lett. B 683, 108 (2010). arXiv:0904.4565 [hep-th]
G. Calcagni, J. High Energy Phys. 0909, 112 (2009). arXiv:0904.0829 [hep-th]
T. Takahashi, J. Soda, Phys. Rev. Lett. 102, 231301 (2009). arXiv:0904.0554 [hep-th]
S. Mukohyama, JCAP 0906, 001 (2009). arXiv:0904.2190 [hep-th]
R. Brandenberger, Phys. Rev. D 80, 043516 (2009). arXiv:0904.2835 [hep-th]
Y.S. Piao, Phys. Lett. B 681, 1 (2009). arXiv:0904.4117 [hep-th]
X. Gao, arXiv:0904.4187 [hep-th]
R.L. Arnowitt, S. Deser, C.W. Misner, The dynamics of general relativity, in Gravitation: an introduction to current research, ed. by L. Witten (Wiley, New York, 1962), pp. 227–265, Chap. 7. arXiv:gr-qc/0405109
H. Lu, J. Mei, C.N. Pope, Phys. Rev. Lett. 103, 091301 (2009). arXiv:0904.1595 [hep-th]
E. Kiritsis, G. Kofinas, Nucl. Phys. B 821, 467 (2009). arXiv:0904.1334 [hep-th]
R.G. Cai, L.M. Cao, N. Ohta, Phys. Rev. D 80, 024003 (2009). arXiv:0904.3670 [hep-th]
R.G. Cai, Y. Liu, Y.W. Sun, J. High Energy Phys. 0906, 010 (2009). arXiv:0904.4104 [hep-th]
E.O. Colgain, H. Yavartanoo, J. High Energy Phys. 0908, 021 (2009). arXiv:0904.4357 [hep-th]
K.C.K. Chan, R.B. Mann, Phys. Rev. D 50, 6385 (1994). Erratum-ibid. D 52, 2600 (1995). arXiv:gr-qc/9404040
Y.S. Myung, Y.W. Kim, Y.J. Park, Eur. Phys. J. C 58, 617 (2008). arXiv:0809.1933 [gr-qc]
S. Kachru, X. Liu, M. Mulligan, Phys. Rev. D 78, 106005 (2008). arXiv:0808.1725 [hep-th]
U.H. Danielsson, L. Thorlacius, J. High Energy Phys. 0903, 070 (2009). arXiv:0812.5088 [hep-th]
R.B. Mann, J. High Energy Phys. 0906, 075 (2009). arXiv:0905.1136 [hep-th]
G. Bertoldi, B.A. Burrington, A. Peet, Phys. Rev. D 80, 126003 (2009). arXiv:0905.3183 [hep-th]
G. Bertoldi, B.A. Burrington, A.W. Peet, Phys. Rev. D 80, 126004 (2009). arXiv:0907.4755 [hep-th]
K. Balasubramanian, J. McGreevy, Phys. Rev. D 80, 104039 (2009). arXiv:0909.0263 [hep-th]
E. Ayon-Beato, A. Garbarz, G. Giribet, M. Hassaine, Phys. Rev. D 80, 104029 (2009). arXiv:0909.1347 [hep-th]
M. Banados, C. Teitelboim, J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992). arXiv:hep-th/9204099
M. Banados, M. Henneaux, C. Teitelboim, J. Zanelli, Phys. Rev. D 48, 1506 (1993). arXiv:gr-qc/9302012
J. Crisostomo, R. Troncoso, J. Zanelli, Phys. Rev. D 62, 084013 (2000). arXiv:hep-th/0003271
Y.S. Myung, Phys. Lett. B 624, 297 (2005). arXiv:hep-th/0506096
Y.S. Myung, Phys. Lett. B 638, 515 (2006). arXiv:gr-qc/0603051
O. Hohm, E. Tonni, arXiv:1001.3598 [hep-th]
R.G. Cai, L.M. Cao, N. Ohta, Phys. Lett. B 679, 504 (2009). arXiv:0905.0751 [hep-th]
R.G. Cai, Y. Liu, Y.W. Sun, J. High Energy Phys. 0910, 080 (2009). arXiv:0909.2807 [hep-th]
E. Ayon-Beato, A. Garbarz, G. Giribet, M. Hassaine, arXiv:1001.2361 [hep-th]
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Myung, Y.S., Kim, YW. Thermodynamics of Hořava–Lifshitz black holes. Eur. Phys. J. C 68, 265–270 (2010). https://doi.org/10.1140/epjc/s10052-010-1319-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-010-1319-1