Abstract
Recently, a renormalizable gravity theory has been proposed by Hořava, and it might be an ultraviolet completion of general relativity or its infrared modification. Particular limit of the theory allows for the Minkowski vacuum. A spherical asymptotically flat black hole solution that represents the analogy of Schwarzschild solution of general relativity has been obtained. It will be very interesting to find the difference between traditional general relativity and Hořava-Lifshitz gravity theory. The three classical tests of general relativity including gravitational red-shift, perihelion precession of the planet Mercury, and light deflection in gravitational field in the spherical asymptotically flat black hole solution of infrared modified Hořava-Lifshitz gravity are investigated. The first order corrections from the standard general relativity is obtained. The result can be used to limit the parameters in Hořava-Lifshitz gravity and to show the viability of the theory.
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References
Cai, R.-G., Ohta, N.: Phys. Rev. D 81, 084061 (2010). arXiv:0910.2307v1 [hep-th]
Cai, R.-G., Cao, L.-M., Ohta, N.: Phys. Rev. D 79, 024003 (2009a)
Cai, R.-G., Cao, L.-M., Ohta, N.: Phys. Lett. B 679, 504 (2009b)
Castillo, A., Larranga, A.: Electron. J. Theor. Phys. 8, 1 (2011). arXiv:0906.4380v2 [gr-qc]
d’Inverno, R.: Introducing Einstein’s General Relativity. Clarendon, Oxford (1992)
Ghodsi, A., Hatefi, E.: Phys. Rev. D 81, 044016 (2010). arXiv:0906.1237v2 [hep-th]
Harko, T., Kovács, Z., Lobo, F.S.N.: Proc. R. Soc. Lond. A Math. Phys. Eng. Sci. 467, 1390 (2011). arXiv:0908.2874v1 [gr-qc]
Hořava, P.: Phys. Rev. D 79, 084008 (2009)
Iorio, L., Ruggiero, M.L.: Int. J. Mod. Phys. A 25, 5399 (2010). arXiv:0909.2562v2 [gr-qc]
Kehagias, A., Sfetsos, K.: Phys. Lett. B 678, 125 (2009)
Kiritsis, E., Kofinas, G.: Nucl. Phys. B 821, 467 (2009). arXiv:0904.1334 [hep-th]
Konoplya, R.A.: Phys. Lett. B 679, 499 (2009)
Liang, C.B., Zhou, B.: Differential Geometry and General Relativity. Science, Beijing (2006)
Lü, H., Mei, J., Pope, C.N.: Phys. Rev. Lett. 103, 091301 (2009)
Mukohyama, S., Nakayama, K., Takahashi, F., Yokoyama, S.: Phys. Lett. B 679, 6 (2009). arXiv:0905.0055 [hep-th]
Myung, Y.S., Kim, Y.-W.: arXiv:0905.0179v1 [hep-th] (2009)
Park, M.-I.: J. Cosmol. Astropart. Phys. 1001, 001 (2010). arXiv:0906.4275v5 [hep-th]
Piao, Y.-S.: Phys. Lett. B 681, 1 (2009)
Setare, M.R.: arXiv:0909.0456v1 [hep-th] (2009)
Zhao, Z., Liu, W.-B.: Rudiments of General Relativity. Tsinghua University Press, Beijing (2010)
Zhou, S.-W., Liu, W.-B.: Int. J. Theor. Phys. 50, 1776 (2011)
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Zhou, SW., Liu, WB. Three classical tests of Hořava-Lifshitz gravity theory. Astrophys Space Sci 337, 779–784 (2012). https://doi.org/10.1007/s10509-011-0890-8
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DOI: https://doi.org/10.1007/s10509-011-0890-8