tends to the Horowitz-Roberts relation ω$_{g}$/ T$_{c}$ ≈ 8 [8] obtained in the AdS Schwarzschild black hole. It is interesting to note that our result provides a bridge between the results for the Hˇorava-Lifshitz theory with the condition of the detailed balance and Einstein’s gravity. This work was supported by the National Natural Science Foundation of China under Grant No 10875040; a key project of the National Natural Science Foundation of China under Grant No 10935013; the National Basic Research of China under Grant No. 2010CB833004, the Hunan Provincial Natural Science Foundation of China under Grant No. 08JJ3010, PCSIRT under Grant No IRT0964, and the Construct Program of the National Key Discipline. S. B. Chen’s work was partially supported by the National Natural Science Foundation of China under Grant No 10875041 and the construct program of key disciplines in Hunan Province. Acknowledgments [1] J. Maldacena, Adv. Theor. Math. Phys. 2 , 231 (1998). [2] S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Phys. Lett. B 428 , 105 (1998). [hep-th / 9802109] [3] E. Witten, Adv. Theor. Math. Phys. 2 , 253 (1998). [4] S. S. Gubser, Class. Quant. Grav. 22 , 5121 (2005). [5] S. S. Gubser, Phys. Rev. D 78 , 065034 (2008). [6] S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, Phys. Rev. Lett. 101 , 031601 (2008). [7] S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, J. High Energy Phys. 0812 , 015 (2008). [8] G. T. Horowitz and M. M. Roberts, Phys. Rev. D 78 , 126008 (2008). [9] E. Nakano and Wen-Yu Wen, Phys. Rev. D 78 , 046004 (2008). [10] I. Amado, M. Kaminski, and K. Landsteiner, J. High Energy Phys. 0905 , 021 (2009). [11] G. Koutsoumbas, E. Papantonopoulos and G. Siopsis, J. High Energy Phys. 0907 , 026 (2009). [12] K. Maeda, M. Natsuume, and T. Okamura, Phys. Rev. D 79 , 126004 (2009). [13] Julian Sonner, Phys. Rev. D 80 , 084031 (2009). [14] S. A. Hartnoll, Class. Quant. Grav. 26 , 224002 (2009) [arXiv: 0903.3246.] [15] C. P. Herzog, J. Phys. A 42 , 343001 (2009). [16] Qiyuan Pan, Bin Wang, Eleftherios Papantonopoulos, J. Oliveira, and A. Pavan, Phys. Rev. D 81 , 106007 13