Abstract
Recently, a renormalizable model of gravity has been proposed by Hoř ava, which might be an ultraviolet completion of general relativity and it reduces to Einstein gravity with a non-vanishing cosmological constant in infrared approximation. Kehagias and Sfetsos have added a relevant operator proportional to the 3D geometry Ricci scalar to the original Hoř ava-Lifshitz theory action, which “softly” deviated from detailed-balance. This does not modify the ultraviolet properties of the theory. However, it modifies the infrared approximation and the Minkowski vacuum can be allowed in the infrared Hořava-Lifshitz gravity theory. The static spherical symmetric black hole solutions have been obtained in the Hořava-Lifshitz and infrared Hořava-Lifshitz gravity theory. Based on the metric of the black holes, Hawking radiation of massless scalar particles is investigated using Damour-Ruffini method. Then the black hole thermodynamics property will also be discussed.
Similar content being viewed by others
References
Hořava, P.: Phys. Rev. D 79, 084008 (2009)
Kehagias, A., Sfetsos, K.: Phys. Lett. B 678, 125 (2009)
Lü, H., Mei, J., Pope, C.N.: Phys. Rev. Lett. 103, 091301 (2009)
Ghodsi, A., Hatefi, E.: Phys. Rev. D 81, 044016 (2010)
Cai, R.-G., Cao, L.-M., Ohta, N.: Phys. Rev. D 79, 024003 (2009)
Cai, R.-G., Cao, L.-M., Ohta, N.: Phys. Lett. B 679, 504 (2009)
Cai, R.-G., Ohta, N.: arxiv:0910.2307v1 [hep-th] (2009)
Castillo, A., Larranga, A.: arxiv:0906.4380v2 [gr-qc] (2009)
Myung, Y.S., Kim, Y.-W.: arxiv:0905.0179v3 [hep-th] (2010)
Park, M.-I.: arxiv:0906.4275v2 [hep-th] (2009)
Setare, M.R.: arxiv:0909.0456v1 [hep-th] (2009)
Kiritsis, E., Kofinas, G.: arxiv:0904.1334 [hep-th] (2009)
Mukohyama, S.: J. Cosmol. Astropart. Phys. 06 (2009)
Mukohyama, S., Nakayama, K., Takahashi, F., Yokoyama, S.: arxiv:0905.0055 [hep-th] (2009)
Konoplya, R.A.: Phys. Lett. B 679, 499 (2009)
Harko, T., Kovács, Z., Lobo, F.S.N.: Phys. Rev. D 80, 044021 (2009). arxiv:0908.2874v1 [gr-qc] (2009)
Iorio, L., Ruggiero, M.L.: arxiv:0909.2562v2 [gr-qc] (2009)
Zhou, S., Liu, W.: Three Classical Tests of Hořava-Lifshitz Gravity Theory. To be published
Ding, C., Chen, S., Jing, J.: Phys. Rev. D 81, 024028 (2010)
Calcagni, G.: Phys. Rev. D 81, 044006 (2010)
Jin-Zhang, T., Chen, B.: Phys. Rev. D 81, 043515 (2010)
Hawking, S.W.: Commun. Math. Phys. 43(3), 199 (1975)
Hawking, S.W.: Nature 248, 30 (1974)
Bardeen, J.M., Carter, B., Hawking, S.W.: Commun. Math. Phys. 31, 161 (1973)
Damour, T., Ruffini, R.: Phys. Rev. D 14, 332 (1976)
Zhao, Z.: The Thermal Nature of Black Holes and The Singularity of The Space-time. Beijing Normal Univ. Press, Beijing (1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhou, SW., Liu, WB. Black Hole Thermodynamics of Hořava-Lifshitz and IR Modified Ho řava-Lifshitz Gravity Theory. Int J Theor Phys 50, 1776–1784 (2011). https://doi.org/10.1007/s10773-011-0686-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-011-0686-1