[1] Horava P[J]. Phys. Rev. D, 79, 084008(2009).
[2] Jacobson T, Mattingly D[J]. Phys. Rev. D, 64, 024028(2001).
[3] Lin K, Mukohyama K, Wang A, Zhu T[J]. Phys. Rev. D, 89, 084022(2014).
[4] Mukohyama S[J]. Class. Quant. Grav., 27, 223101(2010).
[5] Kostelecky V A, Samuel S[J]. Phys. Rev. Lett., 63, 224(1989).
[6] Jackiw R, Kostelecky V A[J]. Phys. Rev. Lett., 82, 3572(1999).
[7] Colladay D, McDonald P[J]. Phys. Rev. D, 75, 105002(2007).
[8] Nascimento J R, Petrov A Yu, Reyes C M[J]. Phys. Rev. D, 92, 045030(2015).
[9] Casana R, Ferreira M M, Jr , Moreira R P M[J]. Phys. Rev. D, 84, 125014(2011).
[10] Hawking S W[J]. Nature, 248, 30(1974).
[11] Hawking S W[J]. Commun. Math. Phys., 43, 199(1975).
[12] Robinson S P, Wilczek F[J]. Phys. Rev. Lett., 95, 011303(2005).
[13] Damoar T, Ruffini R[J]. Phys. Rev. D, 14, 332(1976).
[14] Sannan S[J]. Gen. Relativ. Gravit., 20, 239(1988).
[15] Kraus P, Wilczek F[J]. Nucl. Phys. B, 433, 403(1995).
[16] Parikh M K, Wilczek F[J]. Phys. Rev. Lett., 85, 5042(2000).
[17] Hemming S, Keski-Vakkuri E[J]. Phys. Rev. D, 64, 044006(2001).
[18] Jiang Q Q, Wu S Q, Cai X[J]. Phys. Rev. D, 75, 064029(2007).
[19] Iso S, Umetsu H, Wilczek F[J]. Phys. Rev. D, 74, 044017(2006).
[20] Medved A J M[J]. Phys. Rev. D, 66, 124009(2002).
[21] Parikh M K. arXiv: hepth/0402166][J]. The Tenth Marcel Grossmann Meeting, 1585-1590(2006).
[22] Zhang J Y, Zhao Z[J]. Phys. Lett. B, 638, 110(2006).
[23] Akhmedov E T, Akhmedova V, Singleton D[J]. Phys. Lett. B, 642, 124(2006).
[24] Srinivasan K, Padmanabhan T[J]. Phys. Rev. D, 60, 24007(1999).
[25] Shankaranarayanan S, Padmanabhan T, Srinivasan K[J]. Class. Quantum Grav., 19, 2671(2002).
[26] Kerner R, Mann R B[J]. Class. Quantum Grav., 25, 095014(2008).
[27] Kerner R, Mann R B[J]. Phys. Lett. B, 665, 277(2008).
[28] Li R, Ren J R, Wei S W[J]. Class. Quantum Grav., 25, 125016(2008).
[29] Chen D Y, Jiang Q Q, Zu X T[J]. Class. Quantum Grav., 25, 205022(2008).
[30] Criscienzo R D, Vanzo L[J]. Europhys. Lett., 82, 60001(2008).
[31] Li H L, Yang S Z, Zhou T J, Lin R[J]. Europhys. Lett., 84, 20003(2008).
[32] Jiang Q Q[J]. Phys. Lett. B, 666, 517(2008).
[33] Lin K, Yang S Z[J]. Int. J. Theor. Phys., 48, 2061(2009).
[34] Lin K, Yang S Z[J]. Phys. Rev. D, 79, 064035(2009).
[35] Lin K, Yang S Z[J]. Phys. Lett. B, 674, 127(2009).
[36] Lin K, Yang S Z[J]. Chin. Phys. B, 20, 110403(2011).
[37] Yang S Z, Lin K[J]. Acta Phys. Sin., 68, 060401(2019).
[38] Criscienzo R D, Nadalini M, Vanzo L, Zernini S, Zoccatelli G[J]. Phys. Lett. B, 657, 107(2007).
[39] Hayward S A[J]. Class. Quantum Grav., 15, 3147(1998).
[40] Kim S W[J]. Crav. & Cosm., 20, 247(2014).
