- 
								[1]
								W. Heisenberg and H. Euler, Z. Phys. 98(11-12), 714 (1936) 
- 
								[2]
								Y. N. Obukhov and G. F. Rubilar, Phys. Rev. D 66, 024042 (2002) 
- 
								[3]
								H. Yajima and T. Tamaki, Phys. Rev. D 63, 064007 (2001) 
- 
								[4]
								R. Ruffini, Y. B. Wu, and S. S. Xue, Phys. Rev. D 88, 085004 (2013) 
- 
								[5]
								N. Bretón, C. Lämmerzahl, and A. Macías, Class. Quant. Grav. 36(23), 235022 (2019) 
- 
								[6]
								D. Amaro, N. Breton, C. Lämmerzahl et al., Phys. Rev. D 105(10), 104046 (2022) 
- 
								[7]
								M. Guerrero and D. Rubiera-Garcia, Phys. Rev. D 102(2), 024005 (2020) 
- 
								[8]
								G. G. L. Nashed and S. Nojiri, Phys. Rev. D 104(4), 044043 (2021) 
- 
								[9]
								A. Bakopoulos, T. Karakasis, N. E. Mavromatos et al., Phys. Rev. D 110(2), 2 (2024) 
- 
								[10]
								M. Yasir, F. Mushtaq, X. Tiecheng et al., Phys. Dark Univ. 48, 101838 (2025) 
- 
								[11]
								A. Vachher, S. U. Islam, and S. G. Ghosh, arXiv: 2405.06501[gr-qc] 
- 
								[12]
								Y. Xu, H. Huang, M. Y. Lai et al., arXiv: 2407.06562[gr-qc] 
- 
								[13]
								Y. H. Jiang and T. Wang, Phys. Rev. D 110(10), 103009 (2024) 
- 
								[14]
								H. T. Cho, A. S. Cornell, J. Doukas et al., Class. Quant. Grav. 27, 155004 (2010) 
- 
								[15]
								H. T. Cho, A. S. Cornell, J. Doukas et al., Adv. Math. Phys. 2012, 281705 (2012) 
- 
								[16]
								S. Iyer and C. M. Will, Phys. Rev. D 35, 3621 (1987) 
- 
								[17]
								S. Iyer, Phys. Rev. D 35, 3632 (1987) 
- 
								[18]
								R. A. Konoplya, Phys. Rev. D 68, 024018 (2003) 
- 
								[19]
								R. A. Konoplya and A. F. Zinhailo, Phys. Rev. D 99(10), 104060 (2019) 
- 
								[20]
								R. A. Konoplya and A. Zhidenko, Rev. Mod. Phys. 83, 793 (2011) 
- 
								[21]
								R. A. Konoplya, A. Zhidenko, and A. F. Zinhailo, Class. Quant. Grav. 36, 155002 (2019) 
- 
								[22]
								D. J. Gogoi, A. Övgün, and D. Demir, Phys. Dark Univ. 42, 101314 (2023), arXiv: 2306.09231[gr-qc] 
- 
								[23]
								N. Oshita, Phys. Rev. D 109(10), 104028 (2024) 
- 
								[24]
								G. W. Gibbons and K. i. Maeda, Nucl. Phys. B 298, 741 (1988) 
- 
								[25]
								D. Garfinkle, G. T. Horowitz, and A. Strominger, Phys. Rev. D 43, 3140 (1991) 
- 
								[26]
								V. Ferrari, M. Pauri, and F. Piazza, Phys. Rev. D 63, 064009 (2001) 
- 
								[27]
								S. b. Chen and J. l. Jing, Class. Quant. Grav. 22, 533 (2005) 
- 
								[28]
								F. W. Shu and Y. G. Shen, Phys. Rev. D 70, 084046 (2004) 
- 
								[29]
								R. K. Karimov, R. N. Izmailov, A. Bhattacharya et al., Eur. Phys. J. C 78(9), 788 (2018) 
- 
								[30]
								K. D. Kokkotas and B. F. Schutz, Phys. Rev. D 37, 3378 (1988) 
- 
								[31]
								E. Abdalla, C. E. Pellicer, J. de Oliveira et al., Phys. Rev. D 82, 124033 (2010) 
- 
								[32]
								F. J. Zerilli, Phys. Rev. Lett. 24, 737 (1970)