- [1]
C. Anderson, S. J. Carlip, J. H. Coopermanet al., Phys. Rev. D85, 044027 (2012)
- [2]
T. Griffin, P. Hořava, and C. M. Melby-Thompson, Journal of High Energy Physics2012, 10 (2012), arXiv:1112.5660[hep-th
- [3]
T. Griffin, P. Hořava, and C. M. Melby-Thompson, Phys. Rev. Lett.110, 081602 (2013), arXiv:1211.4872[hep-th
- [4]
P. Hořava, Phys. Rev. Lett.102, 161301 (2009), arXiv:0902.3657[hep-th
- [5]
P. Hořava, Phys. Rev. D79, 084008 (2009), arXiv:0901.3775[hep-th
- [6]
P. Hořava and C. M. Melby-Thompson, Phys. Rev. D82, 064027 (2010), arXiv:1007.2410[hep-th
- [7]
S. Liberati, L. Maccione, and T. P. Sotiriou, Phys. Rev. Lett109, 151602 (2012), arXiv:1207.0670[gr-qc
- [8]
D. Vernieri and T. P. Sotiriou, Phys. Rev. D85, 064003 (2012)
- [9]
E. Barausse and T. P. Sotiriou, Phys. Rev. Lett.109, 181101 (2012), arXiv:1207.6370[gr-qc
- [10]
E. Barausse and T. P. Sotiriou, Phys. Rev. Lett110, 039902 (2013)
- [11]
E. Barausse and T. P. Sotiriou, Phys. Rev. D87, 087504 (2013), arXiv:1212.1334[gr-qc
- [12]
A. Kehagias and K. Sfetsos, Phys. Lett. B678, 123 (2009), arXiv:0905.0477[hep-th
- [13]
R. A. Konoplya, Phys. Lett. B679, 499 (2009), arXiv:0905.1523[hep-th
- [14]
M.-I. Park, Journal of High Energy Physics2009, 123 (2009), arXiv:0905.4480[hep-th
- [15]
F. S. N. Lobo, T. Harko, and Z. Kovcs, arXiv:1001.3517
- [16]
H. L, J. Mei, and C. N. Pope, Physical Review Letters103(2009)
- [17]
R. S. S. Vieira, J. Schee, W. Kluźniaket al., Phys. Rev. D90, 024035 (2014), arXiv:1311.5820[gr-qc
- [18]
A. N. Aliev and Ç. Şentürk, Phys. Rev. D82, 104016 (2010), arXiv:1008.4848[hep-th
- [19]
H. W. Lee, Y.-W. Kim, and Y. S. Myung, Eur. Phys. J. C70, 367 (2010), arXiv:1008.2243[hep-th
- [20]
A. Abdujabbarov, B. Ahmedov, and A. Hakimov, Phys. Rev. D83, 044053 (2011), arXiv:1101.4741[gr-qc
- [21]
V. Enolskii, B. Hartmann, V. Kagramanovaet al., Phys. Rev. D84, 084011 (2011), arXiv:1106.4913[gr-qc
- [22]
A. Hakimov, A. Abdujabbarov, and B. Ahmedov, Phys. Rev. D88, 024008 (2013)
- [23]
Z. Horváth, L. Á. Gergely, Z. Kereszteset al., Phys. Rev. D84, 083006 (2011), arXiv:1105.0765[gr-qc
- [24]
L. Iorio and M. L. Ruggiero, International Journal of Modern Physics D20, 1079 (2011), arXiv:1012.2822[grqc
- [25]
Z. Stuchlík, J. Schee, and A. Abdujabbarov, Phys. Rev. D89, 104048 (2014)
- [26]
F. Atamurotov, A. Abdujabbarov, and B. Ahmedov, Astrophys. Space. Sci.348, 179 (2013)
- [27]
K. Akiyama andet al. (Event Horizon Telescope Collaboration), Astrophys. J.875, L1 (2019), arXiv:1906.11238[astro-ph.GA
- [28]
K. Akiyama andet al. (Event Horizon Telescope Collaboration), Astrophys. J.875, L6 (2019), arXiv:1906.11243[astro-ph.GA
- [29]
K. Akiyama andet al. (Event Horizon Telescope Collaboration), Astrophys. J.85, L2 (2019), arXiv:1906.11239[astro-ph.IM
- [30]
K. Akiyama andet al., Astrophys. J. Lett,930, L12 (2022)
- [31]
J. L. Synge, Mon. Not. Roy. Astron. Soc.131, 463 (1966)
- [32]
J. P. Luminet, Astron.Astrophys.75, 228 (1979)
- [33]
J. M. Bardeen, inBlack Holes(Les Astres Occlus 1973), pp. 215–239
- [34]
H. Falcke, F. Melia, and E. Agol, Astrophys. J.528, L13 (2000), arXiv:astro-ph/9912263[astro-ph
- [35]
C. Bambi and K. Freese, Phys. Rev. D.79, 043002 (2009), arXiv:0812.1328[astro-ph
- [36]
K. Hioki and K.-I. Maeda, Phys. Rev. D80, 024042 (2009)
- [37]
A. Abdujabbarov, F. Atamurotov, Y. Kucukakcaet al., Astrophys. Space. Sci.344, 429 (2013), arXiv:1212.4949[physics.gen-ph
- [38]
L. Amarilla and E. F. Eiroa, Phys. Rev. D85, 064019 (2012)
- [39]
A. Abdujabbarov, M. Amir, B. Ahmedovet al., Phys. Rev. D93, 104004 (2016), arXiv:1604.03809[gr-qc
- [40]
F. Atamurotov, A. Abdujabbarov, and B. Ahmedov, Phys. Rev. D88, 064004 (2013)
- [41]
N. Tsukamoto, Phys. Rev. D.97, 064021 (2018), arXiv:1708.07427[gr-qc
- [42]
R. C. Pantig, P. K. Yu, E. T. Rodulfoet al., Annals of Physics436, 168722 (2022), arXiv:2104.04304[gr-qc
- [43]
S.-W. Wei and Y.-X. Liu, Eur. Phys. J. Plus136, 436 (2021), arXiv:2003.07769[gr-qc
- [44]
M. Ghasemi-Nodehi, M. Azreg-Aïnou, K. Jusufiet al., Phys. Rev. D102, 104032 (2020), arXiv:2011.02276[gr-qc
- [45]
P. Kocherlakotaet al. (EHT Collaboration), Phys. Rev. D.103, 104047 (2021), arXiv:2105.09343[grqc
- [46]
A. Grenzebach, V. Perlick, and C. Lämmerzahl, Phys. Rev. D89, 124004 (2014), arXiv:1403.5234[gr-qc
- [47]
X. Hou, Z. Xu, and J. Wang, J. Cosmol. A. P2018, 040040 (2018)
- [48]
V. Perlick, O. Y. Tsupko, and G. S. Bisnovatyi-Kogan, Phys. Rev. D.97, 104062 (2018), arXiv:1804.04898[grqc
- [49]
P. V. P. Cunha, N. A. Eiró, C. A. R. Herdeiro, and J. P. S. Lemos, J. Cosmol. A. P2020, 035 (2020), arXiv:1912.08833[gr-qc
- [50]
M. Afrin, R. Kumar, and S. G. Ghosh, Mon. Not. R. Astron. Soc. (2021), arXiv:2103.11417[gr-qc
- [51]
F. Atamurotov, S. G. Ghosh, and B. Ahmedov, Eur. Phys. J. C76, 273 (2016), arXiv:1506.03690[gr-qc
- [52]
P. V. Cunha, C. A. Herdeiro, B. Kleihauset al., Phys. Lett. B768, 373379 (2017)
- [53]
F. Atamurotov, U. Papnoi, and K. Jusufi, Classical and Quantum Gravity39, 025014 (2022), arXiv:2104.14898[gr-qc
- [54]
F. Atamurotov, I. Hussain, G. Mustafaet al., Eur. Phys. J. C82, 831 (2022), arXiv:2209.01652[gr-qc
- [55]
F. Sarikulov, F. Atamurotov, A. Abdujabbarovet al., Eur. Phys. J. C82, 771 (2022)
- [56]
U. Papnoi and F. Atamurotov, Physics of the Dark Universe35, 100916 (2022), arXiv:2111.15523[gr-qc
- [57]
G. Mustafa, F. Atamurotov, I. Hussainet al., Chin. Phys. C46, 125107 (2022), arXiv:2207.07608[gr-qc
- [58]
V. Bozza, S. Capozziello, G. Iovane, and G. Scarpetta, Gen. Rel. Grav.33, 1535 (2001)
- [59]
V. Bozza, Phys. Rev. D.66, 103001 (2002)
- [60]
E. F. Eiroa and D. F. Torres, Phys. Rev. D.69, 063004 (2004)
- [61]
K. S. Virbhadra and G. F. R. Ellis, Phys. Rev. D.62, 084003 (2000)
- [62]
K. S. Virbhadra and G. F. R. Ellis, Phys. Rev. D.65, 103004 (2002)
- [63]
S. U. Islam, R. Kumar, and S. G. Ghosh, J. Cosmol. A. P2020, 030030 (2020)
- [64]
X. Lu and Y. Xie, Eur. Phys. J. C79, 1016 (2019)
- [65]
C.-Y. Wang, Y.-F. Shen, and Y. Xie, JCAP2019, 022 (2019), arXiv:1902.03789[gr-qc
- [66]
V. Perlick, O. Y. Tsupko, and G. S. Bisnovatyi-Kogan, Phys. Rev. D.92, 104031 (2015), arXiv:1507.04217[grqc
- [67]
V. Perlick and O. Y. Tsupko, Phys. Rev. D.95, 104003 (2017), arXiv:1702.08768[gr-qc
- [68]
A. Chowdhuri and A. Bhattacharyya, Phys. Rev. D104, 064039 (2021), arXiv:2012.12914[gr-qc
- [69]
F. Atamurotov, B. Ahmedov, and A. Abdujabbarov, Phys. Rev. D92, 084005 (2015), arXiv:1507.08131[grqc
- [70]
F. Atamurotov, K. Jusufi, M. Jamilet al., Phys. Rev. D104, 064053 (2021), arXiv:2109.08150[gr-qc
- [71]
G. Z. Babar, A. Z. Babar, and F. Atamurotov, Eur. Phys. J. C80, 761 (2020), arXiv:2008.05845[gr-qc
- [72]
M. Fathi, M. Olivares, and J. R. Villanueva, Eur. Phys. J. C81, 987 (2021)
- [73]
J. Schee, Z. Stuchlík, B. Ahmedovet al., Int. J. Mod. Phys. D26, 1741011 (2017)
- [74]
E. Ghorani, B. Puliçe, F. Atamurotovet al., Eur. Phys. J. C83, 318 (2023), arXiv:2304.03660[gr-qc
- [75]
G. S. Bisnovatyi-Kogan and O. Y. Tsupko, Mon. Not. R. Astron. Soc.404, 1790 (2010)
- [76]
A. Rogers, Mon. Not. R. Astron. Soc.451, 17 (2015)
- [77]
V. S. Morozova, B. J. Ahmedov, and A. A. Tursunov, Astrophys Space Sci346, 513 (2013)
- [78]
F. Atamurotov, A. Abdujabbarov, and W.-B. Han, Phys. Rev. D104, 084015 (2021)
- [79]
S. Hensh, A. Abdujabbarov, J. Scheeet al., European Physical Journal C79, 533 (2019), arXiv:1904.08776[gr-qc
- [80]
F. Atamurotov, A. Abdujabbarov, and J. Rayimbaev, Eur. Phys. J. C.81, 118 (2021)
- [81]
G. Z. Babar, F. Atamurotov, and A. Z. Babar, Physics of the Dark Universe32, 100798 (2021)
- [82]
G. Z. Babar, F. Atamurotov, S. Ul Islamet al., Phys. Rev. D103, 084057 (2021), arXiv:2104.00714[gr-qc
- [83]
W. Javed, I. Hussain, and A. Övgün, Eur. Phys. J. Plus137, 148 (2022), arXiv:2201.09879[gr-qc
- [84]
A. Hakimov and F. Atamurotov, Astrophys Space Sci361, 112 (2016)
- [85]
F. Atamurotov, S. Shaymatov, P. Sheoranet al., J. Cosmol. A. P.2021, 045 (2021), arXiv:2105.02214[gr-qc
- [86]
F. Atamurotov, H. Alibekov, A. Abdujabbarovet al., Symmetry15, 848 (2023)
- [87]
F. Atamurotov, S. Shaymatov, and B. Ahmedov, Galaxies9, 54 (2021)
- [88]
F. Atamurotov, D. Ortiqboev, A. Abdujabbarovet al., Eur. Phys. J. C82, 659 (2022)
- [89]
S.-S. Zhao and Y. Xie, Phys. Lett. B.774, 357 (2017)
- [90]
F. Atamurotov and S. G. Ghosh, Eur. Phys. J. Plus137, 662 (2022)
- [91]
F. Atamurotov, M. Jamil, and K. Jusufi, Chin. Phys. C47, 035106 (2023), arXiv:2212.12949[gr-qc
- [92]
F. Atamurotov, I. Hussain, G. Mustafaet al., Chin. Phys. C47, 025102 (2023)
- [93]
F. Atamurotov, M. Alloqulov, A. Abdujabbarovet al., Eur. Phys. J. Plus137, 634 (2022)
- [94]
F. Atamurotov, F. Sarikulov, A. Abdujabbarov, and B. Ahmedov, Eur. Phys. J. Plus137, 336 (2022)
- [95]
A. Ditta, X. Tiecheng, S. Mumtazet al., arXiv:2303.05438
- [96]
J. L. Synge,Relativity: The General Theory(NorthHolland, Amsterdam, 1960)
- [97]
O. Y. Tsupko and G. S. Bisnovatyi-Kogan, Gravit. Cosmol.15, 184 (2009)
- [98]
K. Akiyama andet al. (Event Horizon Telescope Collaboration), Astrophys. J.910, L12 (2021)
- [99]
V. Bozza, Phys. Rev. D78, 103005 (2008), arXiv:0807.3872[gr-qc
- [100]
P. Schneider, J.Ehlers, and E. Falco,Gravitational Lenses. Astronomy and Astrophysics Library(Springer, 1999), ISSN 0941-7834
- [101]
Y. Wang, JCAP2005, 005 (2005), arXiv:astroph/0406635[astro-ph
- [102]
E. J. Gonzalez, G. Foëx, J. L. Nilo Castellónet al., MNRAS452, 2225 (2015), arXiv:1504.03364[astro-ph.CO
- [103]
Z. Kalantari, S. Rahvar, and A. Ibrahim, The Astrophysical Journal934, 106 (2022), arXiv:2205.05278[astro-ph.HE
- [104]
D. Wen and A. J. Kemball, arXiv:2210.16444