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K. Akiyama et al. (Event Horizon Telescope Collaboration), Astrophys. J. Lett. 875, L1 (2019), arXiv: 1906.11238

Eᴠᴇɴᴛ Hᴏʀɪᴢᴏɴ Tᴇʟᴇsᴄᴏᴘᴇ Collaboration, Astrophys. J. Lett. 930, L12 (2022), arXiv: 2311.08680

P. V. P. Cunha and C. A. R. Herdeiro, Gen. Rel. Grav. 50, 42 (2018), arXiv: 1801.00860

H. Falcke, F. Melia, and E. Agol, Astrophys. J. Lett. 528, L13 (2000), arXiv: astro-ph/9912263

X. X. Zeng, K. J. He, G. P. Li et al., Eur. Phys. J. C 82, 764 (2022), arXiv: 2209.05938

X. X. Zeng, K. J. He, and G. P. Li, Sci. China Phys. Mech. Astron. 65, 290411 (2022), arXiv: 2111.05090

S. E. Gralla, D. E. Holz, and R. M. Wald, Phys. Rev. D 100, 024018 (2019), arXiv: 1906.00873

V. Cardoso and P. Pani, Living Rev. Rel. 22, 4 (2019), arXiv: 1904.05363

R. D. Blandford and R. L. Znajek, Mon. Not. Roy. Astron. Soc. 179, 433 (1977)

N. I. Shakura and R. A. Sunyaev, Astron. Astrophys. 24, 337 (1973)

A. P. Lightman and D. M. Eardley, Astrophys. J. Lett. 187, L1 (1974)

J. P. Luminet, Astron. Astrophys. 75, 228 (1979)

K. Beckwith and C. Done, Mon. Not. Roy. Astron. Soc. 359, 1217 (2005), arXiv: astro-ph/0411339

R. Narayan, M. D. Johnson, and C. F. Gammie, Astrophys. J. Lett. 885, L33 (2019), arXiv: 1910.02957

X. X. Zeng, H. Q. Zhang, and H. Zhang, Eur. Phys. J. C 80, 872 (2020), arXiv: 2004.12074

M. Heydari-Fard, M. Heydari-Fard, and N. Riazi, Int. J. Mod. Phys. D 32, 2350088 (2023), arXiv: 2307.01529

G. P. Li, H. B. Zheng, K. J. He et al., Eur. Phys. J. C 85, 249 (2025), arXiv: 2410.17295

X. X. Zeng, G. P. Li, and K. J. He, Nucl. Phys. B 974, 115639 (2022), arXiv: 2106.14478

G. P. Li and K. J. He, JCAP 06, 037 (2021), arXiv: 2105.08521

C. Y. Yang, K. J. He, X. X. Zeng et al., arXiv: 2508.07393

C. Y. Yang, M. I. Aslam, X. X. Zeng et al., JHEAp 46, 345 (2025), arXiv: 2411.11807

Z. Zhang, S. Chen, and J. Jing, JCAP 09, 027 (2024), arXiv: 2404.12223

Z. Zhang, Y. Hou, M. Guo et al., JCAP 05, 032 (2024), arXiv: 2401.14794

K. Gjorgjieski, J. Kunz, and P. Nedkova, Eur. Phys. J. C 84, 286 (2024), arXiv: 2401.13857

X. M. Kuang, Z. Y. Tang, B. Wang et al., Phys. Rev. D 106, 064012 (2022), arXiv: 2206.05878

G. P. Li, M. Q. Wu, K. J. He et al., Phys. Rev. D 113, 043009 (2026), arXiv: 2505.14734

J. Huang, Z. Zhang, M. Guo et al., Phys. Rev. D 109, 124062 (2024), arXiv: 2402.16293

T. C. Lee, Z. Hu, M. Guo et al., Phys. Rev. D 108, 024008 (2023), arXiv: 2211.04143

Y. Hou, J. Huang, M. Guo et al., Astrophys. J. Lett. 988, L51 (2025), arXiv: 2409.07248

Y. Chen, L. Cheng, P. Wang et al., Phys. Rev. D 112, 024044 (2025), arXiv: 2409.05304

X. X. Zeng, H. Ye, K. J. He et al., Eur. Phys. J. C 85, 1211 (2025), arXiv: 2507.11583

H. Zhu and M. Guo, Polarized image of synchrotron radiations of hotspots in Schwarzschilld-Melvin black hole spacetime, arXiv: 2205.04777

A.M. Beloborodov, Astrophys. J. Lett. 566, L85 (2002), arXiv: astro-ph/0201117

Eᴠᴇɴᴛ Hᴏʀɪᴢᴏɴ Tᴇʟᴇsᴄᴏᴘᴇ Collaboration, Astrophys. J. 912, 35 (2021), arXiv: 2105.01804

Z. Gelles, E. Himwich, D. C. M. Palumbo et al., Phys. Rev. D 104, 044060 (2021), arXiv: 2105.09440

X. Qin, S. Chen, X. Fu et al., Eur. Phys. J. C 82, 784 (2022), arXiv: 2111.10138

H. Y. Shi and T. Zhu, Eur. Phys. J. C 84, 814 (2024)

V. Deliyski, G. Gyulchev, P. Nedkova et al., Phys. Rev. D 108, 104049 (2023), arXiv: 2303.14756

D. Lovelock, J. Math. Phys. 13, 874 (1972)

C. Lanczos, Annals Math. 39, 842 (1938)

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

B. Zwiebach, Phys. Lett. B 156, 315 (1985)

S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, Phys. Rev. D 99, 044050 (2019), arXiv: 1811.07790

D. L. Wiltshire, Phys. Lett. B 169, 36 (1986)

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

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

I. P. Neupane, Phys. Rev. D 69, 084011 (2004), arXiv: hep-th/0302132

M. H. Dehghani, Phys. Rev. D 67, 064017 (2003), arXiv: hep-th/0211191

T. Torii and H. Maeda, Phys. Rev. D 71, 124002 (2005)

S. G. Ghosh, D. V. Singh, and S. D. Maharaj, Phys. Rev. D 97, 104050 (2018)

S. Mahapatra, Eur. Phys. J. C 80, 992 (2020), arXiv: 2004.09214

K. Aoki, M. A. Gorji, and S. Mukohyama, Phys. Lett. B 810, 135843 (2020)

J. F. Donoghue, Phys. Rev. D 50, 3874 (1994), arXiv: gr-qc/9405057

B. Bayarsaikhan et al., Eur. Phys. J. C 83, 238 (2023)

W.-Y. Ai, Commun. Theo. Phys. 72, 095402 (2020)

R. A. Hennigar, D. Kubizňák, R. B. Mann et al., JHEP 07, 027 (2020), arXiv: 2004.09472

D. Glavan and C. Lin, Phys. Rev. Lett. 124, 081301 (2020), arXiv: 1905.03601

M. Gürses, T.Ç. Şişman, and B. Tekin, Eur. Phys. J. C 80, 647 (2020), arXiv: 2004.03390

F. W. Shu, Phys. Lett. B 811, 135907 (2020), arXiv: 2004.09339

H. Lu and Y. Pang, Phys. Lett. B 809, 135717 (2020), arXiv: 2003.11552

P. G. S. Fernandes, P. Carrilho, T. Clifton et al., Phys. Rev. D 102, 024025 (2020), arXiv: 2004.08362

P. G.S. Fernandes, P. Carrilho, T. Clifton et al., Class. Quant. Grav. 39, 063001 (2022), arXiv: 2202.13908

M. Azreg-Aïnou, Phys. Rev. D 90, 064041 (2014), arXiv: 1405.2569

M. Azreg-Aïnou, Eur. Phys. J. C 74, 2865 (2014), arXiv: 1401.4292

R. Kumar and S. G. Ghosh, JCAP 07, 053 (2020), arXiv: 2003.08927

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

S. Chandrasekhar, The mathematical theory of black holes, (Clarendon Press/Oxford University Press, 1985)

B. Carter, Phys. Rev. 174, 1559 (1968)

P. V. P. Cunha, C. A. R. Herdeiro, E. Radu et al., Phys. Rev. Lett. 115, 211102 (2015), arXiv: 1509.00021

Z. Hu, Z. Zhong, P. C. Li et al., Phys. Rev. D 103, 044057 (2021), arXiv: 2012.07022

Y. Hou, Z. Zhang, H. Yan et al., Phys. Rev. D 106, 064058 (2022), arXiv: 2206.13744

A. Chael, M. D. Johnson, and A. Lupsasca, Astrophys. J. 918, 6 (2021), arXiv: 2106.00683

Z. Zhang, Y. Hou, and M. Guo, Chin. Phys. C 48, 085106 (2024), arXiv: 2305.14924

G. B. Rybicki and A. P. Lightman, Radiative Processes in Astrophysics, (Wiley-Interscience, 1979)

Z. Gelles, A. Chael, and E. Quataert, Astrophys. J. 981, 204 (2025), arXiv: 2410.00954

J. Huang, L. Zheng, M. Guo et al., JCAP 11, 054 (2024), arXiv: 2407.10431

X. X. Zeng, C. Y. Yang, H. Yu et al., Eur. Phys. J. C 86, 169 (2026), arXiv: 2508.11992