• [1]

    K. Becker, M. Becker and J. H. Schwarz, String theory and M-theory: A modern introduction,

  • [2]

    S.-H. Henry Tye, Lect. Notes Phys., 737: 949 (2008) [hep-th/0610221]

  • [3]

    M. B. Hindmarsh and T. W. B. Kibble, Rept. Prog. Phys., 58: 477 (1995) doi: 10.1088/0034-4885/58/5/001 [hep-ph/9411342]

  • [4]

    P. S. Letelier, Phys. Rev. D, 20: 1294 (1979). doi: 10.1103/PhysRevD.20.1294

  • [5]

    M. G. Richarte and C. Simeone, Int. J. Mod. Phys. D, 17: 1179 (2008) doi: 10.1142/S0218271808012759 [arXiv: 0711.2297 [gr-qc]]

  • [6]

    A. K. Yadav, V. K. Yadav and L. Yadav, Int. J. Theor. Phys., 48: 568 (2009) doi: 10.1007/s10773-008-9832-9 [arXiv: 1112.4114 [gr-qc]]

  • [7]

    A. Ganguly, S. G. Ghosh and S. D. Maharaj, Phys. Rev. D, 90: no. 6, 064037 (2014) doi: 10.1103/PhysRevD.90.064037 [arXiv: 1409.7872 [gr-qc]]

  • [8]

    K. A. Bronnikov, S. W. Kim and M. V. Skvortsova, Class. Quant. Grav., 33(19): 195006 (2016) doi: 10.1088/0264-9381/33/19/195006 [arXiv: 1604.04905 [gr-qc]]

  • [9]

    D. Barbosa and V. B. Bezerra, Gen. Rel. Grav., 48(11): 149 (2016). doi: 10.1007/s10714-016-2143-1

  • [10]

    E. Herscovich and M. G. Richarte, Phys. Lett. B, 689: 192 (2010) doi: 10.1016/j.physletb.2010.04.065 [arXiv: 1004.3754 [hep-th]]

  • [11]

    S. G. Ghosh and S. D. Maharaj,Ghosh:2014pga, Phys. Rev. D, 89(8): 084027 (2014) doi: 10.1103/PhysRevD.89.084027 [arXiv: 1409.7874 [gr-qc]]

  • [12]

    S. G. Ghosh, U. Papnoi, and S. D. Maharaj, Phys. Rev. D, 90(4): 044068 (2014) doi: 10.1103/PhysRevD.90.044068 [arXiv: 1408.4611 [gr-qc]]

  • [13]

    T. H. Lee, D. Baboolal and S. G. Ghosh, Eur. Phys. J. C, 75(7): 297 (2015) doi: 10.1140/epjc/s10052-015-3515-5 [arXiv: 1409.2615 [gr-qc]]

  • [14]

    S. H. Mazharimousavi and M. Halilsoy, Eur. Phys. J. C, 76(2): 95 (2016) doi: 10.1140/epjc/s10052-016-3954-7 [arXiv: 1511.00603 [gr-qc]]

  • [15]

    J. P. Morais Graca, G. I. Salako, and V. B. Bezerra, Int. J. Mod. Phys. D, 26: 1750113 (2017) doi: 10.1142/S0218271817501139 [arXiv: 1604.04734 [gr-qc]]

  • [16]

    T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys., 82: 451 (2010) doi: 10.1103/RevModPhys.82.451 [arXiv: 0805.1726 [gr-qc]]

  • [17]

    S. Nojiri and S. D. Odintsov, Phys. Rept., 505: 59 (2011) doi: 10.1016/j.physrep.2011.04.001 [arXiv: 1011.0544 [gr-qc]]

  • [18]

    S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, Phys. Rept., 692: 1 (2017) doi: 10.1016/j.physrep.2017.06.001 [arXiv: 1705.11098 [gr-qc]]

  • [19]

    J. Man and H. Cheng, Phys. Rev. D, 87(4): 044002 (2013) doi: 10.1103/PhysRevD.87.044002 [arXiv: 1301.2739 [hep-th]]

  • [20]

    T. G. Mertens, H. Verschelde, and V. I. Zakharov, JHEP, 1411: 157 (2014) doi: 10.1007/JHEP11(2014)157 [arXiv: 1408.7012 [hep-th]]

  • [21]

    U. Gunther, A. Zhuk, V. B. Bezerra, and C. Romero, Class. Quant. Grav., 22: 3135 (2005) doi: 10.1088/0264-9381/22/16/002 [hep-th/0409112]

  • [22]

    T. R. P. Carames, E. R. Bezerra de Mello, and M. E. X. Guimaraes, Int. J. Mod. Phys. Conf. Ser., 3: 446 (2011) doi: 10.1142/S2010194511000961 [arXiv: 1106.4033 [gr-qc]]

  • [23]

    S. Chakraborty and S. SenGupta, Eur. Phys. J. C, 75(1): 11 (2015) doi: 10.1140/epjc/s10052-014-3234-3 [arXiv: 1409.4115 [gr-qc]]

  • [24]

    S. Chakraborty and S. SenGupta, Eur. Phys. J. C, 75(11): 538 (2015) doi: 10.1140/epjc/s10052-015-3768-z [arXiv: 1504.07519 [gr-qc]]

  • [25]

    F. R. Tangherlini, Nuovo Cim., 27: 636 (1963). doi: 10.1007/BF02784569

  • [26]

    K. A. Dennison, J. P. Wendell, T. W. Baumgarte, and J. D. Brown, Phys. Rev. D, 82: 124057 (2010) doi: 10.1103/PhysRevD.82.124057 [arXiv: 1010.5723 [gr-qc]]

  • [27]

    J. P. Morais Graca, H. S. Vieira, and V. B. Bezerra, Gen. Rel. Grav., 48(4): 38 (2016) doi: 10.1007/s10714-016-2024-7 [arXiv: 1510.07184 [gr-qc]]

  • [28]

    R. Emparan and H. S. Reall, Living Rev. Rel., 11: 6 (2008) doi: 10.12942/lrr-2008-6 [arXiv: 0801.3471 [hep-th]]

  • [29]

    V. Faraoni, Entropy, 12: 1246 (2010) doi: 10.3390/e12051246 [arXiv: 1005.2327 [gr-qc]]

  • [30]

    R. C. Tolman, Phys. Rev., 35: 904 (1930). doi: 10.1103/PhysRev.35.904

  • [31]

    V. P. Frolov and A. Zelkinov, Introduction to Black Hole Physics, (New York: Oxford University Press, 2011)

  • [32]

    H. Alnes, F. Ravndal, and I. K. Wehus, J. Phys. A, 40: 14309 (2007) doi: 10.1088/1751-8113/40/47/018 [quant-ph/0506131]

  • [33]

    G. Amelino-Camelia, F. Brighenti, G. Gubitosi, and G. Santos, Phys. Lett. B, 767: 48 (2017) doi: 10.1016/j.physletb.2017.01.050 [arXiv: 1602.08020 [hep-th]]

  • [34]

    V. V. Kiselev, Class. Quant. Grav., 20: 1187 (2003) doi: 10.1088/0264-9381/20/6/310 [gr-qc/0210040]