• [1]

    D. Mattingly, Living Rev. Rel. 8, 5 (2005)

  • [2]

    G. Amelino-Camelia, Liv. Rev. Rel. 16, 5 (2013)

  • [3]

    W.-M. Dai, Z.-K. Guo, R.-G. Cai et al., Eur. Phys. J. C 77, 386 (2017)

  • [4]

    D. Colladay and V.A. Kostelecký, Phys. Rev. D 55, 6760 (1997); Phys. Rev. D 58, 116002 (1998); V. A. Kostelecký, Phys. Rev. D 69, 105009 (2004)

  • [5]

    S. R. Coleman and S. L. Glashow, Phys. Lett. B 405, 249 (1997); Phys. Rev. D 59, 116008 (1999); R. C. Myers and M. Pospelov, Phys. Rev. Lett. 90, 211601 (2003)

  • [6]

    G. Rubtsov, P. Satunin, and S. Sibiryakov, J. Cosmo. Astro. Phys. (JCAP) 05, 049 (2017)

  • [7]

    V. A. Kostelecký, Phys. Rev. D 69, 105009 (2004)

  • [8]

    G. Guiomar and J. Páramos, Phys. Rev. D 90, 082002 (2014)

  • [9]

    C. Ding, A. Wang, and X. Wang, Phys. Rev. D 92, 084055 (2015)

  • [10]

    C. Ding, C. Liu, A. Wang et al., Phys. Rev. D 94, 124034 (2016)

  • [11]

    M. H. Dickinson, F. O. Lehmann, and S. P. Sane, Science 284, 1954 (1999)

  • [12]

    V. A. Kostelecký and S. Samuel, Phys. Rev. D 40, 1886 (1989)

  • [13]

    R. Casana and A. Cavalcante, Phys. Rev. D 97, 104001 (2018)

  • [14]

    Rong-Jia Yang, He Gao, Yao-Guang Zheng et al., Commun. Theor. Phys. 71, 568 (2019)

  • [15]

    Chikun Ding, Changqing Liu, R. Casana et al., Eur. Phys. C 80, 178 (2020)

  • [16]

    R. Bluhm, N. L. Gagne, R. Potting et al., Phys. Rev. D 77, 125007 (2008)

  • [17]

    K. Schwarzschild, Sitzungsber. Preuss. Akad. Wiss. (Math. Phys.) 7, 189 (1916)

  • [18]

    R. P. Kerr, Phys. Rev. Lett. 11, 237 (1963)

  • [19]

    E. T. Newman and A. I. Janis, J. Math. Phys. 6, 915 (1965)

  • [20]

    C. Lämmerzahl, M. Maceda, and A. Macias, Class. Quantum Grav. 36, 015001 (2019)

  • [21]

    Songbai Chen, Mingzhi Wang, and Jiliang Jing, J. High Energy Phys. 07, 054 (2020)

  • [22]

    E. Barausse, T. P. Sotiriou, and I. Vega, Phys. Rev. D 93, 044044 (2016)

  • [23]

    T. Tao, Q. Wu, M. Jamil et al., Phys. Rev. D 100, 044055 (2019)

  • [24]

    C. Ding, S. Chen, and J. Jing, Phys. Rev. D 82, 024031 (2010)

  • [25]

    C. Ding, C. Liu, J. Jing, and S. Chen, J. High Energy Phys. 11, 146 (2010)

  • [26]

    S. Chen, J. Jing, and H. Liao, Phys. Lett. B 751, 474 (2015)

  • [27]

    M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, Academic press, New York, U. S. A. (1996)