• [1]

    N. Arkani-Hamed, L. Motl, A. Nicolis et al., JHEP 06, 060 (2007)

  • [2]

    D. Harlow, B. Heidenreich, M. Reece et al., Rev. Mod. Phys. 95, 035003 (2023)

  • [3]

    D. G. Boulware and S. Deser, Phys. Rev. Lett. 55, 2656 (1985)

  • [4]

    V. Cardoso, M. Kimura, A. Maselli et al., Phys. Rev. Lett. 121(25), 251105 (2018)

  • [5]

    M. Barroso Varela and H. Rauch, Gen. Rel. Grav. 56(2), 16 (2024)

  • [6]

    Y. Kats, L. Motl and M. Padi, JHEP 12, 068 (2007)

  • [7]

    S. Cremonini, J. T. Liu and P. Szepietowski, JHEP 03, 042 (2010)

  • [8]

    S. Cremonini, C. R. T. Jones, J. T. Liu et al., JHEP 09, 003 (2020)

  • [9]

    C. Cheung, J. Liu and G. N. Remmen, JHEP 10, 004 (2018)

  • [10]

    C. Cheung, J. Liu and G. N. Remmen, Phys. Rev. D 100(4), 046003 (2019)

  • [11]

    T. Noumi and H. Satake, JHEP 12, 130 (2022)

  • [12]

    A. M. Charles, (2019), arXiv: 1906.07734[hep-th]

  • [13]

    N. Arkani-Hamed, Y. t. Huang, J. Y. Liu et al., JHEP 03, 083 (2022)

  • [14]

    G. 't Hooft and M. Veltman, Annales Poincare Phys. Theor. 20, 69 (1974)

  • [15]

    S. Deser and P. van Nieuwenhuizen, Phys. Rev. D 10, no.2 (1974).

  • [16]

    A. O. Barvinsky and G. A. Vilkovisky, Phys. Rept. 119, 1 (1985)

  • [17]

    J. F. Donoghue, Phys. Rev. D 50, 3874 (1994)

  • [18]

    J. F. Donoghue and B. K. El-Menoufi, Phys. Rev. D 89(10), 104062 (2014)

  • [19]

    X. Calmet, R. Casadio and F. Kuipers, Phys. Rev. D 100(8), 086010 (2019)

  • [20]

    X. Calmet, E. Kiritsis, F. Kuipers et al., Fortsch. Phys. 72(12), 2400176 (2024)

  • [21]

    P. d. Teixeira, I. L. Shapiro and T. G. Ribeiro, Grav. Cosmol. 26(3), 185 (2020)

  • [22]

    D. N. Birrell and P. C. W. Davies, Quantum Fields in Curved Space, First edition (Cambridge: Cambridge University Press, 1982), p. 180

  • [23]

    Y. Xiao and Y. Tian, Phys. Rev. D 105(4), 044013 (2022)

  • [24]

    X. Calmet, R. Casadio, S. D. H. Hsu et al., Phys. Rev. Lett. 128(11), 111301 (2022)

  • [25]

    A. Boasso and F. D. Mazzitelli, Phys. Rev. D 112(12), 125030 (2025)

  • [26]

    A. Bukhari, G. Abbas, H. Rehman et al., Eur. Phys. J. Plus 140(3), 210 (2025)

  • [27]

    B. K. El-Menoufi, JHEP 05, 035 (2016)

  • [28]

    A. M. Charles and F. Larsen, JHEP 06, 200 (2015)

  • [29]

    A. M. Charles, F. Larsen and D. R. Mayerson, JHEP 08, 048 (2017)

  • [30]

    S. S. Gubser, I. R. Klebanov and A. A. Tseytlin, Nucl. Phys. B 534, 202 (1998)

  • [31]

    M. M. Caldarelli and D. Klemm, Nucl. Phys. B 555, 157 (1999)

  • [32]

    Y. Xiao, Phys. Rev. D 106(6), 064041 (2022)

  • [33]

    Y. Xiao and Y. Y. Liu, Phys. Rev. D 110(10), 104043 (2024)

  • [34]

    L. Ma, Y. Pang and H. Lü, JHEP 06, 087 (2023)

  • [35]

    P. J. Hu, L. Ma, H. Lü et al., Sci. China Phys. Mech. Astron. 67(8), 280412 (2024)

  • [36]

    L. Ma, P. J. Hu, Y. Pang et al., Phys. Rev. D 110(2), L021901 (2024)

  • [37]

    W. Guo, X. Guo, X. Lan et al., Phys. Rev. D 112(6), 064038 (2025)

  • [38]

    G. Chen, X. Guo, X. Lan et al., Phys. Rev. D 112(12), 124087 (2025)

  • [39]

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

  • [40]

    Y. Xiao, Y. Tian and Y. X. Liu, Phys. Rev. Lett. 132(2), 2 (2024)

  • [41]

    R. Solomon and D. Stojkovic, Phys. Rev. D 102(4), 046016 (2020)

  • [42]

    A. Sen, Gen. Rel. Grav. 44(5), 1207 (2012)

  • [43]

    S. Bhattacharyya, B. Panda and A. Sen, JHEP 08, 084 (2012)

  • [44]

    R. C. Delgado, Eur. Phys. J. C 82, no.3, 272 (2022)[erratum: Eur. Phys. J. C 83, no.6, 468 (2023)]

  • [45]

    B. K. El-Menoufi, JHEP 08, 068 (2017)

  • [46]

    A. Sen, JHEP 04, 156 (2013)

  • [47]

    A. Sen, Gen. Rel. Grav. 44, 1947 (2012)

  • [48]

    R. K. Kaul and P. Majumdar, Phys. Rev. Lett. 84, 5255 (2000)

  • [49]

    S. Carlip, Class. Quant. Grav. 17, 4175 (2000)

  • [50]

    S. Das, P. Majumdar and R. K. Bhaduri, Class. Quant. Grav. 19, 2355 (2002)

  • [51]

    G. Goon and R. Penco, Phys. Rev. Lett. 124(10), 101103 (2020)

  • [52]

    H. S. Reall and J. E. Santos, JHEP 04, 021 (2019)

  • [53]

    P. Bittar, S. Fichet and L. de Souza, Phys. Rev. D 112(4), 045009 (2025)