• [1]

    S.W. Hawking and G. F. R. Ellis, The Large Scale Structure of Spacetime (Cambridge: Cambridge University Press, 1973)

  • [2]

    Stephen Hawking, Phys. Rev. D, 14: 2460 (1976)

  • [3]

    G. T. Horowitz and J. M. Maldacena, JHEP, 0402: 008 (2004)

  • [4]

    S. D. Mathur, Lect. Notes Phys., 769: 3 (2009)

  • [5]

    H. Zhang, Sci. Rep., 7: 4000 (2017)

  • [6]

    A. Almheiri, D. Marolf, J. Polchinski, and J. Sully, JHEP, 1302: 062 (2013)

  • [7]

    A. Almheiri, D. Marolf, J. Polchinski et al, JHEP, 1309: 018 (2013)

  • [8]

    P. Chen, Y. Chin Ong, D. N. Page et al, Phys. Rev. Lett., 116: 161304 (2016)

  • [9]

    J. Maldacena and L. Susskind, Fortsch. Phys., 61: 781 (2013)

  • [10]

    A. D. Sakharov, Zh. Eksp. Teor. Fiz. 49, 345 (1966) [Sov.Phys. JETP 22, 241 (1966)].

  • [11]

    E. B. Gliner, Sov. Phys. JETP, 22: 378 (1966)

  • [12]

    J. M. Bardeen, in: Conference Proceedings of GR5, Tbilisi, USSR, 1968, p. 174

  • [13]

    A. Borde, Phys. Rev. D, 50: 3692 (1994)

  • [14]

    A. Borde, Phys. Rev. D, 55: 7615 (1997)

  • [15]

    C. Barrabes and V. P. Frolov, Phys. Rev. D, 53: 3215 (1996)

  • [16]

    A. Cabo and E. Ayon-Beato, Int. J. Geom. Methods Mod. Phys. A, 14: 2013 (1999)

  • [17]

    S. A. Hayward, Phys. Rev. Lett., 96: 031103 (2006)

  • [18]

    E. Ayon-Beato and A. Garcia, Phys. Rev. Lett., 80: 5056 (1998)

  • [19]

    E. Ayon-Beato and A. Garcia, Phys. Lett. B, 464: 25 (1999)

  • [20]

    E. Ayon-Beato and A. Garcia, Gen. Relativ. Gravit., 37: 635 (2005)

  • [21]

    M. S. Ma, Ann. Phys. (Amsterdam), 362: 529 (2015)

  • [22]

    E. Ayon-Beato and A. Garcia, Phys. Lett B, 493: 149 (2000)

  • [23]

    Z.-Y. Fan and X. Wang, Phys. Rev. D, 94: 124027 (2016)

  • [24]

    H. Huang, M. Jiang, J. Chen, and Y. Wang, Gen. Relativ. Gravit., 47: 8 (2015)

  • [25]

    H. Huang, P. Liao, J. Chen, and Y. Wang, J. Grav. 2014,231727 (2014)

  • [26]

    C.F.B. Macedo and L.C.B. Crispino, Phys. Rev. D, 90: 064001 (2014)

  • [27]

    C.F.B. Macedo, L.C.B. Crispino, and E.S. de Oliveira, Int. J. Mod. Phys. D, 25: 1641008 (2016)

  • [28]

    C.F.B. Macedo, E.S. de Oliveira, and L.C.B. Crispino, Phys. Rev. D, 92: 024012 (2015)

  • [29]

    W. G. Unruh, Phys. Rev. D, 14: 3251 (1976)

  • [30]

    S. Dolan, C. Doran, and A. Lasenby, Phys. Rev. D, 74: 064005 (2006)

  • [31]

    I. I. Cotăescu, C. Crucean, and C. A. Sporea, Eur. Phys. J. C, 76: 102 (2016)

  • [32]

    I. I. Cotăescu, C. Crucean, and C. A. Sporea, Eur. Phys. J. C, 76: 413 (2016)

  • [33]

    C. A. Sporea, Chinese Physics C, 41(12): 123101 (2017)

  • [34]

    S. R. Das, G. Gibbons, and S. D. Mathur, Phys. Rev. Lett., 78: 417 (1997)

  • [35]

    W. M. Jin, Classical and Quantum Gravity, 15(10): 3163 (1998)

  • [36]

    C. Doran and A. Lasenby, Phys. Rev, D, 66: 024006 (2002)

  • [37]

    E. Jung, S. H. Kim, and D. K. Park, JHEP, 09: 005 (2004)

  • [38]

    H. Cho and Y. Lin, Classical and Quantum Gravity, 22(5): 775 (2005)

  • [39]

    A. B. Gaina and G. A. Chizhov, Moscow Univ. Phys. Bull., 38N2: 1-7 (1983)

  • [40]

    A. B. Gaina, Moscow VINITI, No. 1970-80 Dep. , 20 pp. (1980)

  • [41]

    M. Rogatko and A. Szyplowska, Phys. Rev. D, 79: 104005 (2009)

  • [42]

    H. Liao, J-H. Chen, P. Liao, and Y-J. Wang, Commun. Theor. Phys., 62: 227-234 (2014)

  • [43]

    A. Ghosh and P. Mitra, Phys. Rev. D, 50: 7389-7393 (1994)

  • [44]

    I.I. Cotăescu, Mod. Phys. Lett. A, 13: 2923 (1998)

  • [45]

    V. M. Villalba, Mod. Phys. Lett. A, 8: 2351-2364 (1993)

  • [46]

    I. I. Cotăescu, J. Phys. A Math. Gen., 33: 1977 (2000)

  • [47]

    B. Thaller. The Dirac Equation. (Springer Verlag, Berlin Heidelberg, 1992)

  • [48]

    V. B. Berestetski, E. M. Lifshitz, and L. P. Pitaevski, Quantum Electrodynamics, (Oxford: Pergamon Press, 1982)

  • [49]

    I. I. Cotăescu, Phys. Rev. D, 60: 124006 (1999)

  • [50]

    I. I. Cotăescu, Phys. Rev. D, 65: 084008 (2002)

  • [51]

    I. I. Cotaescu and C. Crucean, Mod. Phys. Lett. A, 22: 3707-3720 (2008)

  • [52]

    I. I. Cotaescu, R. Racoceanu, and C. Crucean, Mod. Phys. Lett. A, 21: 1313-1318 (2006)

  • [53]

    I.I. Cotăescu, Mod. Phys. Lett. A, 22: 2493 (2007)

  • [54]

    C.A. Sporea, Mod. Phys. Lett. A, 30: 1550145 (2015)

  • [55]

    C. Crucean, Mod. Phys. Lett. A, 22: 2573-2585 (2007)

  • [56]

    C. Crucean, Mod. Phys. Lett. A, 25: 1679-1687 (2010)

  • [57]

    C. Crucean, R. Racoceanu, and A. Pop, Phys. Lett. B, 665: 409-411 (2008)

  • [58]

    I. I. Cotaescu and C. Crucean, Int. J. Mod. Phys. A, 23: 1351-1359 (2008)

  • [59]

    M. Rose. Relativistic Electron Theory (New York: John Wiley & Sons, 1961)

  • [60]

    F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark, NIST Handbook of Mathematical Functions (Cambridge: Cambridge University Press, 2010)

  • [61]

    D. R. Yennie, D. G. Ravenhall, and R. N. Wilson, Phys. Rev., 95: 500 (1954)

  • [62]

    K. W. Ford and J. A. Wheeler, Ann. Phys. (N.Y.), 7: 259 (1959)

  • [63]

    K. W. Ford and J. A. Wheeler, Ann. Phys. (N.Y.), 7: 287 (1959)

  • [64]

    P. Anninos, C. DeWitt-Morette, R. A. Matzner, P. Yioutas, and T. R. Zhang, Phys. Rev. D, 46: 4477 (1992)

  • [65]

    R. A. Matzner, C. DeWitte-Morette, B. Nelson, and T.-R. Zhang, Phys. Rev. D, 31: 1869 (1985)