• [1]

    S. W. Hawking and G. F. Ellis, Cambridge University Press (1973).

  • [2]

    E. Ayon-Beato and A. Garcia, Phys. Lett. B 493(1-2), 149 (2000)

  • [3]

    H.-S. Liu, Z.-F. Mai, Y.-Z. Li, et al., Sci. China-Phys. Mech. Astron. 63(4), 240411 (2020)

  • [4]

    A. Cisterna, G. Giribet, J. Oliva, et al., Phys. Rev. D 101(12), 124041 (2020)

  • [5]

    Z.-C. Li and H. Lu, Phys. Rev. D 110(10), 104046 (2024)

  • [6]

    K. A. Bronnikov and J. C. Fabris, arXiv: gr-qc/0511109 (2005).

  • [7]

    P. Nicolini, A. Smailagic, and E. Spallucci, Phys. Lett. B 632(4), 547 (2006)

  • [8]

    A. Eichhorn and A. Held, in Regular Black Holes: Towards a New Paradigm of Gravitational Collapse. Springer: 131–183 (2023).

  • [9]

    A. Ashtekar, J. Olmedo, and P. Singh, in Regular Black Holes: Towards a New Paradigm of Gravitational Collapse. Springer: 235–282 (2023).

  • [10]

    P. Nicolini, Regular Black Holes: Towards a New Paradigm of Gravitational Collapse: 69–87 (2023).

  • [11]

    P. Bueno, P. A. Cano, and R. A. Hennigar, Phys. Lett. B 861, 139260 (2025)

  • [12]

    R. Konoplya and A. Zhidenko, Phys. Lett. B 856, 138945 (2024)

  • [13]

    R. Ghosh, M. Rahman, and A. K. Mishra, Eur. Phys. J. C 83(1), 91 (2023)

  • [14]

    D. Rasheed, arXiv: hep-th/9702087 (1997).

  • [15]

    M. Born and L. Infeld, Proc. R. Soc. Lond. A, Containing Papers of a Mathematical and Physical Character 144(852), 425 (1934)

  • [16]

    S. Gunasekaran, D. Kubiznak, and R. B. Mann, JHEP 2012(11), 1 (2012)

  • [17]

    M.-S. Ma and R. Zhao, Class. Quantum Grav. 31(24), 245014 (2014)

  • [18]

    C. Lan and Y.-G. Miao, arXiv: 2105.00218 (2021).

  • [19]

    C. Lan and Y.-G. Miao, Chin. Phys. Lett. 40(12), 120401 (2023)

  • [20]

    S.-P. Wu and S.-W. Wei, Class. Quantum Grav. 42(7), 075015 (2025)

  • [21]

    Y. Zhang and S. Gao, Class. Quantum Grav. 35(14), 145007 (2018)

  • [22]

    Y. Guo, H. Xie, and Y.-G. Miao, Nucl. Phys. B 1000, 116491 (2024)

  • [23]

    Y. Cai, T. Wang, and L. Zhao, J. Stat. Phys. 190(12), 193 (2023)

  • [24]

    R. Li and J. Wang, Phys. Rev. D 102(2), 024085 (2020)

  • [25]

    S.-W. Wei, Y.-Q. Wang, Y.-X. Liu, et al., Sci. China Phys. Mech. Astron. 64(7), 270411 (2021)

  • [26]

    R.-G. Cai, Sci. China Phys. Mech. Astron. 64(9), 290432 (2021)

  • [27]

    T. Yue and J. Wang, JHEP 2025(6), 1 (2025)

  • [28]

    R. Li and J. Wang, Eur. Phys. J. C 84(11), 1152 (2024)

  • [29]

    Z.-M. Xu, B. Wu, and W.-L. Yang, Sci. China Phys. Mech. Astron. 66(4), 240411 (2023)

  • [30]

    C. Ma, P.-P. Zhang, B. Wu, et al., Phys. Lett. B 861, 139282 (2025)

  • [31]

    Y.-S. Wang, Z.-M. Xu, and B. Wu, Phys. Lett. B 853, 138690 (2024)

  • [32]

    Z.-M. Xu, P.-P. Zhang, B. Wu, et al., JHEP 2024(12), 1 (2024)

  • [33]

    Y.-Z. Du, H.-F. Li, Y.-B. Ma, et al., Nucl. Phys. B 1006, 116641 (2024)

  • [34]

    M. A. S. Afshar, S. Noori Gashti, M. R. Alipour, et al., Eur. Phys. J. C 85(9), 939 (2025)

  • [35]

    J. Sadeghi, M. A. S. Afshar, M. R. Alipour, et al., Phys. Dark Universe 47, 101780 (2025)

  • [36]

    H. Risken, in The Fokker-Planck Equation: Methods of Solution and Applications. Springer: 63–95 (1989).

  • [37]

    R. Zwanzig, Oxford University Press (2001).

  • [38]

    Z.-M. Xu, B. Wu, and W.-L. Yang, Class. Quantum Grav. 38(20), 205008 (2021)