• [1]

    J. M. Bardeen, B. Carter and S. W. Hawking, Commun. Math. Phys. 31, 161 (1973)

  • [2]

    J. D. Bekenstein, Phys. Rev. D 7, 949 (1973)

  • [3]

    S. W. Hawking and Don N. Page, Commun. Math. Phys. 87, 577 (1983)

  • [4]

    E. Witten, Adv. Theor. Math. Phys. 2, 505 (1998), arXiv:hep-th/9803131

  • [5]

    D. Kastor, S. Ray and J. Traschen, Class. Quant. Grav. 26, 195011 (2009), arXiv:0904.2765

  • [6]

    R. A. Hennigar, E. Tjoa and R. B. Mann, J. High Energ. Phys. 70 (2017), arXiv:1612.06852

  • [7]

    R. A. Hennigar and R. B. Mann, Phys. Rev. Lett. 118, 021301 (2017), arXiv:1609.02564

  • [8]

    A. M. Frassino, D. Kubiznak, R. B. Mann et al., J. High Energ. Phys. 09, 080 (2014), arXiv:1406.7015

  • [9]

    D. Kubiznak and R. B. Mann, J. High Energ. Phys. 1207, 033 (2012), arXiv:1205.0559

  • [10]

    R.-G Cai, L.-M Cao, L. Li et al., J. High Energ. Phys. 9, (2013), arXiv:1306.6233

  • [11]

    M.-S Ma, R. Zhao and Y.-S Liu, Class. Quant. Grav. 34, 165009 (2017), arXiv:1604.06998

  • [12]

    R. Banerjee, B. R. Majhi, and S. Samanta, Phys. Lett. B 767, 25 (2017), arXiv:1611.06701

  • [13]

    S.-W Wei and Y.-X Liu, Phys. Rev. Lett 115, 111302 (2015)

  • [14]

    K. Bhattacharya, B. R. Majhi and S. Samanta, Phys. Rev. D 96, 084037 (2017)

  • [15]

    X.-X Zeng and L.-F Li, Phys. Lett. B 764, 100 (2017)

  • [16]

    S.-W Wei and Y.-X Liu, Sci. Chin. Phys. Mech. Astron 67, 5 (2024) , arXiv:2308.11886

  • [17]

    Y.-Z. Du, H.-F. Li, F. Liu et al., Chin. Phys. C 45, 11 (2021), arXiv:2112.10403

  • [18]

    Y. Zhang, W.-Q Wang, Y.-B Ma et al., Adv. H. E. Phys. 2020, 7263059 (2020), arXiv:2004.06796

  • [19]

    M. R. Visser, Phys. Rev. D 105, 106014 (2022)

  • [20]

    M. B. Ahmed, W. Cong, D. Kubiznak et al., Phys. Rev. Lett. 130, 181401 (2023)

  • [21]

    L. Zhao, Chin. Phys. C 46, 055105 (2022)

  • [22]

    Z.-Y Gao, X. Kong and L. Zhao, Eur. Phys. J. C 82, 112 (2022)

  • [23]

    Z. Y. Gao and L. Zhao, Class. Quant. Grav. 39, 075019 (2022)

  • [24]

    Y.-Z Du, H.-F Li, Y. Zhang et al., Entropy 25, 4 (2023), arXiv:2210.02006

  • [25]

    Y.-S Duan and M. L. Ge, Sci. Sin. 9, 1072 (1979)

  • [26]

    S.-W Wei, Y.-X Liu and R. B. Mann, Phys. Rev. L 129, 191101 (2022)

  • [27]

    X.-Q Kong, T Wang, Z.-Y Gao et al., Entropy 24, 8 (2022), arXiv:2208.07748

  • [28]

    R.-G. Cai, Phys. Rev. D 65(8), 084014 (2002), arXiv:hepth/0109133

  • [29]

    C. Lanczos, Z. Phys. 73(3), 147 (1932)

  • [30]

    D. Lovelock, J. Math. Phys. 12(3), 498 (1971)

  • [31]

    S.-W. Wei, Phys. Rev. D 102, 064039 (2020)

  • [32]

    S.-W. Wei and Y.-X. Liu, Phys. Rev. D 105, 104003 (2022)

  • [33]

    D. Wu, Eur. Phys. J. C 83, 589 (2023), arXiv:2306.02324[gr-qc]

  • [34]

    D. Wu, Eur. Phys. J. C 83, 365 (2023), arXiv:2302.01100

  • [35]

    Y.-S. Duan, The structure of the topological current, Report No. SLAC-PUB-3301 (1984).

  • [36]

    Y.-S. Duan, S. Li and G.-H. Yang, Nucl. Phys. B 514, 705 (1998)

  • [37]

    L.-B. Fu, Y.-S. Duan and H. Zhang, Phys. Rev. D 61, 045004 (2000)

  • [38]

    Z.-Y. Fan, Phys. Rev. D 107, 044026 (2023)

  • [39]

    N. J. Gogoi and P. Phukon, Phys. Rev. D 108, 6 (2023), arXiv:2304.05695

  • [40]

    J. Crisostomo, R. Troncoso and J. Zanelli, Phys. Rev. D 62, 8 (2000), arXiv:hep-th/0003271

  • [41]

    M. Banados, C. Teitelboim and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992), arXiv:hep-th/9204099

  • [42]

    M. Banados, M. Henneaux, C. Teitelboim et al., Phys. Rev. D 48, 1506 (1993), arXiv:gr-qc/9302012

  • [43]

    M. Banados, C. Teitelboim and J. Zanelli, Phys. Rev. D 49, 975 (1994)