- [1]
C. M. Will, Living Rev. Relativ.17, 4 (2014)
- [2]
E. e. a. Berti, Class. Quant. Grav.32, 243001 (2015)
- [3]
T. e. a. Clifton, Phys. Rep.513, 1 (2012)
- [4]
S. Nojiri and S. D. Odintsov, Phys. Rep.692, 1 (2017)
- [5]
C. Bambi,Black Holes: A Laboratory for Testing Strong Gravity(Springer, 2017)
- [6]
V. Cardoso and P. Pani, Living Rev. Relativ.22, 4 (2019)
- [7]
P. Gondolo and J. Silk, Phys. Rev. Lett.83, 1719 (1999)
- [8]
G. Bertone and D. Merritt, Mod. Phys. Lett. A20, 1021 (2005)
- [9]
R. A. Konoplya, Phys. Lett. B795, 1 (2019)
- [10]
S. V. M. C. B. Xavier, H. C. D. Limaet al., Phys. Rev. D107, 064040 (2023)
- [11]
C. F. B. Macedo, J. a. L. Rosa, and D. Rubiera-Garcia, JCAP07, 046 (2024)
- [12]
T. L. S. Collaboration and the Virgo Collaboration, Phys. Rev. Lett.116, 061102 (2016)
- [13]
T. L. S. Collaboration and the Virgo Collaboration, Phys. Rev. Lett.119, 161101 (2017)
- [14]
T. E. H. T. Collaboration, ApJL875, L1 (2019)
- [15]
T. E. H. T. Collaboration, ApJL930, L12 (2022)
- [16]
B. J. e. a. Kavanagh, Phys. Rev. D102, 083006 (2020)
- [17]
V. e. a. Cardoso, Phys. Rev. D105, L061501 (2022)
- [18]
V. Bozza, S. Capozziello, G. Iovaneet al., Gen. Relativ. Gravit.33, 1535 (2001)
- [19]
V. Bozza, Phys. Rev. D66, 103001 (2002)
- [20]
V. Bozza, F. De Luca, G. Scarpettaet al., Phys. Rev. D72, 083003 (2005)
- [21]
O. Y. Tsupko and G. S. Bisnovatyi-Kogan, Plasma Phys. Rep.41, 562 (2015)
- [22]
G. S. Bisnovatyi-Kogan and O. Y. Tsupko, Astrophysics51, 99 (2008)
- [23]
Q. Li, Y. Zhu, and T. Wang, Eur. Phys. J. C82, 2 (2022), arXiv: 2102.00957[gr-qc]
- [24]
G. S. Bisnovatyi-Kogan and O. Y. Tsupko, Plasma Phys. Rep.36, 653 (2010)
- [25]
A. Rogers, Phys. Rev. D91, 124066 (2015)
- [26]
V. Perlick, O. Y. Tsupko, and G. S. Bisnovatyi-Kogan, Phys. Rev. D95, 104003 (2017)
- [27]
F. Atamurotov, B. Ahmedov, and A. Abdujabbarov, Phys. Rev. D104, 084015 (2021)
- [28]
M. Alloqulov, S. Shaymatov, A. Jawadet al., Commun.Math. Phys.77, 015402 (2025)
- [29]
L. Meliyeva, O. Xoldorov, O. Tursunboyevet al., Chin. Phys. C49, 125102 (2025)
- [30]
B. Rahmatov, M. Zahid, S. U. Khanet al., Chin. Phys. C49, 075105 (2025)
- [31]
S. Saydullayev, I. Nishonov, M. Dusaliyevet al., Eur. Phys. J. C85, 1081 (2025)
- [32]
A. Al-Badawi, M. Alloqulov, S. Shaymatovet al., Chin. Phys. C48, 095105 (2024)
- [33]
M. Alloqulov, F. Atamurotov, A. Abdujabbarovet al., Chin. Phys. C47, 065105 (2023)
- [34]
H. Jiang, M. Alloqulov, Q. Wuet al., Phys. Dark Univ.46, 101698 (2024)
- [35]
M. Alloqulov, F. Atamurotov, A. Abdujabbarovet al., Chin. Phys. C48, 105103 (2024)
- [36]
A. Al-Badawi, S. Shaymatov, M. Alloqulovet al., Commun. Theo. Phys.76, 085401 (2024)
- [37]
M. Alloqulov, F. Atamurotov, A. Abdujabbarovet al., Chin. Phys. C48, 025104 (2024)
- [38]
F. Atamurotov, M. Alloqulov, A. Abdujabbarovet al., Eur. Phys. J. Plus137, 634 (2022)
- [39]
J. Sharipov, M. Alloqulov, P. Sheoranet al., Chin. Journal of Phys.99, 461 (2026)
- [40]
M. Alloqulov, Y. Isaqjonov, S. Shaymatovet al., Chin. Phys. C49, 045104 (2025)
- [41]
J. Khasanov, M. Alloqulov, P. Sheoranet al., JCAP2025, 023 (2025)
- [42]
W. Yang, M. Alloqulov, A. Abdujabbarovet al., Chin. Phys. C50, (2026)
- [43]
W. Dehnen, Mon. Not. Roy. Astron. Soc.265, 250 (1993)
- [44]
H. Mo, F. C. van den Bosch, and S. White,Galaxy Formation and Evolution, (2010)
- [45]
A. Al-Badawi, S. Shaymatov, and Y. Sekhmani, JCAP2025, 014 (2025)
- [46]
M. Alloqulov, T. Xamidov, S. Shaymatovet al., Eur. Phys. J. C85, 798 (2025)
- [47]
B. Toshmatov, B. Ahmedov, A. Boydedayevet al., Phys. Rev. D111, 124058 (2025)
- [48]
J. L. Synge, ed.,Relativity: The General theory(1960)
- [49]
J. T. Mendonça, J. D. Rodrigues, and H. Terças, Phys. Rev. D101, 051701 (2020), arXiv: 1901.05910[physics.plasm-ph]
- [50]
V. Perlick, O. Y. Tsupko, and G. S. Bisnovatyi-Kogan, Phys. Rev. D92, 104031 (2015), arXiv: 1507.04217[gr-qc]
- [51]
V. Perlick and O. Y. Tsupko, Phys. Rept.947, 1 (2022), arXiv: 2105.07101[gr-qc]
- [52]
A. Rogers, Mon. Not. Roy. Astron. Soc.451, 17 (2015), arXiv: 1505.06790[gr-qc]
- [53]
X. Er and A. Rogers, Mon. Not. Roy. Astron. Soc.475, 867 (2017), arXiv: 1712.06900[astro-ph.GA]
- [54]
G. S. Bisnovatyi-Kogan and O. Y. Tsupko, Mon. Not. Roy. Astron. Soc.404, 1790 (2010), arXiv: 1006.2321[astro-ph.CO]
- [55]
G. Z. Babar, F. Atamurotov, and A. Z. Babar, Phys. Dark Univ.32, 100798 (2021), arXiv: 2103.00316[gr-qc]
- [56]
V. Bozza, Phys. Rev. D78, 103005 (2008)
- [57]
P. Schneider, J. Ehlers, and E. E. Falco,Gravitational Lenses, (Springer Berlin, Heidelberg, 1992)
- [58]
F. Atamurotov, K. Jusufi, M. Jamilet al., Phys. Rev. D104, 064053 (2021), arXiv: 2109.08150[gr-qc]
- [59]
D. Foreman-Mackey, D. W. Hogg, D. Langet al., Publ. Astron. Soc. Pac.125, 306 (2013), arXiv: 1202.3665[astro-ph.IM]
- [60]
K. Akiyamaet al. (Event Horizon Telescope Collaboration), Astron. Astrophys.681, A79 (2024)
- [61]
M. De Laurentis and P. Salucci, Astrophys. J.929, 17 (2022), arXiv: 2206.01997[astro-ph.CO]
- [62]
R. Abuteret al. (GRAVITY Collaboration), Astron. Astrophys.636, L5 (2020), arXiv: 2004.07187[astro-ph.GA]