-
[1]
B. P. Abbott et al. (Virgo and LIGO Scientific Collaborations), Phys. Rev. Lett. 116(6), 061102 (2016), arXiv: 1602.03837
-
[2]
B. P. Abbott et al. (Virgo and LIGO Scientific Collaborations), Phys. Rev. Lett. 116(24), 241102 (2016), arXiv: 1602.03840
-
[3]
K. Akiyama et al. (Event Horizon Telescope Collaboration), Astrophys. J. 875(1), L1 (2019), arXiv: 1906.11238
-
[4]
K. Akiyama et al. (Event Horizon Telescope Collaboration), Astrophys. J. 875(1), L6 (2019), arXiv: 1906.11243
-
[5]
R. Penrose, Phys. Rev. Lett. 14(3), 57 (1965)
-
[6]
S. W. Hawking and R. Penrose, Proc R. Soc. Lond. A 314, 529 (1970)
-
[7]
R. J. Adler, Am. J. Phys. 78(9), 925 (2010), arXiv: 1001.1205
-
[8]
Y. J. Ng, Mod. Phys. Lett. A 18(16), 1073 (2003), arXiv: gr-qc/0305019
-
[9]
A. Borde, A. H. Guth, and A. Vilenkin, Phys. Rev. Lett. 90(15), 151301 (2003), arXiv: gr-qc/0110012
-
[10]
A. Borde and A. Vilenkin, Phys. Rev. Lett. 72(21), 3305 (1994), arXiv: gr-qc/9312022
-
[11]
S. W. Hawking, G. F. R. Ellis, The large-scale structure of space-time, 1973
-
[12]
L. Modesto, Int. J. Theor. Phys. 49(8), 1649 (2010), arXiv: 0811.2196
-
[13]
L. Modesto and I. Prémont-Schwarz, Phys. Rev. D 80(6), 064041 (2009), arXiv: 0905.3170
-
[14]
S. Sahu, K. Lochan, and D. Narasimha, Phys. Rev. D 91(6), 063001 (2015), arXiv: 1502.05619
-
[15]
A. Ashtekar, J. Olmedo, and P. Singh, Phys. Rev. Lett. 121(24), 241301 (2018), arXiv: 1806.00648
-
[16]
A. Ashtekar, J. Olmedo, and P. Singh, Phys. Rev. D 98(12), 126003 (2018), arXiv: 1806.02406
-
[17]
M. Bojowald, S. Brahma, and D.-h. Yeom, Phys. Rev. D 98(4), 046015 (2018), arXiv: 1803.01119
-
[18]
E. Alesci, S. Bahrami, and D. Pranzetti, Phys. Lett. B 797, 134908 (2019), arXiv: 1904.12412
-
[19]
M. Assanioussi, A. Dapor, and K. Liegener, Phys. Rev. D 101(2), 026002 (2020), arXiv: 1908.05756
-
[20]
A. Perez, Rep. Prog. Phys. 80(12), 126901 (2017), arXiv: 1703.09149
-
[21]
A. Barrau, K. Martineau, andF. Moulin, Universe 4(10), 102 (2018), arXiv: 1808.08857
-
[22]
C. Rovelli, APS Physics 11, 127 (2018)
-
[23]
A. Ashtekar, Universe 6(2), 21 (2020), arXiv: 2001.08833
-
[24]
W. C. Gan, N. O. Santos, F. W. Shu et al., Phys. Rev. D 102(12), 124030 (2020), arXiv: 2008.09664
-
[25]
E. Alesci and L. Modesto, Gen. Rel. Grav. 46, 1656 (2014)
-
[26]
J. H. Chen and Y. J. Wang, Chin. Phys. B 20(3), 030401 (2011)
-
[27]
A. Barrau, C. Rovelli, and F. Vidotto, Phys. Rev. D 90(12), 127503 (2014), arXiv: 1409.4031
-
[28]
A. Dasgupta, SIGMA 9, 013 (2013), arXiv: 1203.5119
-
[29]
M. B. Cruz, C. A. S. Silva, and F. A. Brito, Eur. Phys. J. C 79(2), 157 (2019)
-
[30]
F. Moulin, K. Martineau, J. Grain et al., Class. Quant. Grav. 36(12), 125003 (2019), arXiv: 1808.00207
-
[31]
F. Moulin, A. Barrau, and K. Martineau, Universe 5(9), 202 (2019), arXiv: 1908.06311
-
[32]
M. B. Cruz, F. A. Brito, and C. A. S. Silva, Phys. Rev. D 102(4), 044063 (2020), arXiv: 2005.02208
-
[33]
J. S. Santos, M. B. Cruz, and F. A. Brito, Eur. Phys. J. C 81(12), 1082 (2021), arXiv: 2103.11212
-
[34]
T. Zhu and A. Wang, Phys. Rev. D 102(12), 124042 (2020), arXiv: 2008.08704
-
[35]
H. Jiang, M. Alloqulov, Q. Wu et al., Phys. Dark Universe 46, 101627 (2024)
-
[36]
U. Uktamov, M. Alloqulov, S. Shaymatov et al., Phys. Dark Universe 47, 101743 (2025), arXiv: 2412.01809
-
[37]
S. Yang, W. D. Guo, Q. Tan et al., Phys. Rev. D 108(2), 024055 (2023), arXiv: 2304.06895
-
[38]
C. Liu, T. Zhu, Q. Wu et al., Phys. Rev. D 101(8), 084001 (2020), arXiv: 2003.00477
-
[39]
Y. C. Liu, J. X. Feng, F.-W. Shu et al., Phys. Rev. D 104(10), 106001 (2021), arXiv: 2109.02861
-
[40]
R. G. Daghigh, M. D. Green, and G. Kunstatter, Phys. Rev. D 103(8), 084031 (2021), arXiv: 2012.13359
-
[41]
M. Bouhmadi-López, S. Brahma, C. Y. Chen et al., JCAP 2020(7), 066 (2020), arXiv: 2004.13061
-
[42]
Q. M. Fu and X. Zhang, Phys. Rev. D 105(6), 064020 (2022), arXiv: 2111.07223
-
[43]
S. Brahma, C. Y. Chen, and D.-h. Yeom, Phys. Rev. Lett. 126(18), 181301 (2021), arXiv: 2012.08785
-
[44]
T. Papanikolaou, Class. Quant. Grav. 40(13), 134001 (2023), arXiv: 2301.11439
-
[45]
Y. H. Shu and J. H. Huang, Circular orbits and thin accretion disk around a quantum corrected black hole, (2024), arXiv: 2412.05670
-
[46]
R. A. Konoplya and O. S. Stashko, Phys. Rev. D 111, 104055 (2025)
-
[47]
W. Liu, D. Wu, and J. Wang, Phys. Lett. B 858, 139052 (2024), arXiv: 2408.05569
-
[48]
H. Liu, M. Y. Lai, X. Y. Pan et al., Phys. Rev. D 110(10), 104039 (2024), arXiv: 2408.11603
-
[49]
Y. Du, Y. Liu, and X. Zhang, J. Cosmol. Astropart. Phys. 2025(05), 045 (2025)
-
[50]
Y. Wang, A. Vachher, Q. Wu et al., Eur. Phys. J. C 85(3), 302 (2025), arXiv: 2410.12382
-
[51]
C. Bambi, Phys. Rev. D 85(4), 043002 (2012), arXiv: 1201.1638
-
[52]
C. Bambi, J. Jiang, and J. F. Steiner, Classical and Quantum Gravity 33(6), 064001 (2016), arXiv: 1511.07587
-
[53]
M. A. Abramowicz and P. C. Fragile, Living Rev. Relativ. 16(1), 1 (2013), arXiv: 1104.5499
-
[54]
R. P. Fender, T. M. Belloni, and E. Gallo, Mon. Not. R. Astron. Soc. 355(4), 1105 (2004), arXiv: astro-ph/0409360
-
[55]
K. Auchettl, J. Guillochon, Eand . Ramirez-Ruiz, Astrophys. J. 838(2), 149 (2017), arXiv: 1611.02291
-
[56]
B. Czerny, S. Cao, V. K. Jaiswal et al., Astrophys. Space Sci. 368(2), 8 (2023), arXiv: 2209.06563
-
[57]
C. W. Morgan, C. S. Kochanek, N. D. Morgan et al., Astrophys. J. 712(2), 1129 (2010), arXiv: 1002.4160
-
[58]
Y. Yao, S. N. Zhang, and X. Zhang, Studying the accretion disks in black hole X-ray binaries with Monte-Carlo simulations, in: S. Ritz, N. Gehrels, C. R. Shrader (Eds.), Gamma 2001: Gamma-Ray Astrophysics, Vol. 587 of American Institute of Physics Conference Series, AIP, 2001, pp. 106–110, arXiv: astro-ph/0105537
-
[59]
J. Schultz, Studies of accretion disks in X-ray binaries, Ph.D. thesis, University of Helsinki, Finland (Jan. 2005)
-
[60]
Q. Bu, S. Zhang, Black Holes: Accretion Processes in X-ray Binaries, (Springer Nature Singapore, 2023), p. 1–28
-
[61]
L. You, R. bo Wang, S. J. Ma et al., Optical properties of euler-heisenberg black hole in the cold dark matter halo, (2024), arXiv: 2403.12840
-
[62]
A. A. Nucita, F. De Paolis, G. Ingrosso et al., PASP 119(854), 349 (2007), arXiv: 0705.0494
-
[63]
A. M. Ghez, S. Salim, S. D. Hornstein et al., Astrophys. J. 620(2), 744 (2005), arXiv: astro-ph/0306130
-
[64]
A. M. Ghez, M. Morris, E. E. Becklin et al., Nature 407(6802), 349 (2000), arXiv: astro-ph/0009339
-
[65]
İ. İ. Çimdiker, A. Övgün, and D. Demir, Class. Quant. Grav. 40(18), 184001 (2023), arXiv: 2308.03947
-
[66]
S. Vagnozzi, R. Roy, Y. D. Tsai et al., Class. Quant. Grav. 40(16), 165007 (2023)
-
[67]
M. Afrin, S. Vagnozzi, and S. G. Ghosh, Astrophys. J. 944(2), 149 (2023)
-
[68]
K. Boshkayev, A. Idrissov, O. Luongo et al., Mon. Not. Roy. Astron. Soc. 496(2), 1115 (2020), arXiv: 2006.01269
-
[69]
G. Gyulchev, J. Kunz, P. Nedkova et al., Eur. Phys. J. C 80(11), 1017 (2020), arXiv: 2003.06943
-
[70]
G. Gyulchev, P. Nedkova, T. Vetsov et al., Eur. Phys. J. C 81(10), 885 (2021), arXiv: 2106.14697
-
[71]
B. Narzilloev and B. Ahmedov, Symmetry 14(9), 1765 (2022)
-
[72]
S. Shaymatov, K. Jusufi, M. Alloqulov et al., Eur. Phys. J. Plus 138(11), 997 (2023)
-
[73]
L. G. Collodel, D. D. Doneva, and S. S. Yazadjiev, The Astrophysical Journal 910(1), 52 (2021)
-
[74]
M. Alloqulov, S. Shaymatov, B. Ahmedov et al., Chin. Phys. C 48(2), 025101 (2024)
-
[75]
K. Boshkayev, T. Konysbayev, E. Kurmanov et al., Phys. Rev. D 104, 084009 (2021)
-
[76]
S. Hu, C. Deng, S. Guo et al., Eur. Phys. J. C 83(3), 264 (2023)
-
[77]
Y. Kurmanov, K. Boshkayev, T. Konysbayev et al., Phys. Dark Univ. 46, 101566 (2024), arXiv: 2404.15437
-
[78]
Y. H. Cui, S. Guo, Y. X. Huang et al., Eur. Phys. J. C 84(8), 772 (2024), arXiv: 2408.03387
-
[79]
M. Alloqulov and S. Shaymatov, Eur. Phys. J. Plus 139(8), 731 (2024)
-
[80]
J. Chen and J. Yang, Optical appearance of schwarzschild black holes with optically thin and thick accretion disks at various inclination angles, (2025), arXiv: 2506.22891
-
[81]
Z. Cai, Z. Ban, L. Wang et al., Thin accretion disk around Schwarzschild-like black hole in bumblebee gravity, (2025), arXiv: 2503.08424
-
[82]
T. Igata, M. Omamiuda, and Y. Takamori, Phys. Rev. D 111(8), 084062 (2025), arXiv: 2502.11755
-
[83]
K. Nozari, S. Saghafi, and F. Aliyan, Eur. Phys. J. C 85(7), 735 (2025), arXiv: 2506.17986
-
[84]
K. Nozari, S. Saghafi, M. Hajebrahimi et al., Phys. Dark Univ. 49, 102027 (2025), arXiv: 2504.12486
-
[85]
K. Nozari, S. Saghafi, and M. Hassani, JHEAp 45, 214 (2025), arXiv: 2412.07814
-
[86]
M. Hassani, K. Nozari, and S. Saghafi, JHEAp 53, 100637 (2026), arXiv: 2605.13797
-
[87]
C. Bambi, Black Holes: A Laboratory for Testing Strong Gravity, (Springer, Singapore, 2017)
-
[88]
S. Chandrasekhar, The mathematical theory of black holes, (Oxford University Press., New York, 1998)
-
[89]
A. Ashtekar and M. Bojowald, Class. Quant. Grav. 23, 391 (2006), arXiv: gr-qc/0509075
-
[90]
C. W. Misner, K. S. Thorne, J. A. Wheeler et al., (San Francisco, 1973)
-
[91]
G. S. Adkins and J. McDonnell, Phys. Rev. D 75(8), 082001 (2007), arXiv: gr-qc/0702015
-
[92]
S. Benczik, L. N. Chang, D. Minic et al., Phys. Rev. D 66(2), 026003 (2002), arXiv: hep-th/0204049
-
[93]
L. Iorio, Int. J. Mod. Phys. D 24(6), 1530015–343 (2015), arXiv: 1412.7673
-
[94]
L. Iorio, Astrophys. J. 157(6), 220 (2019), arXiv: 1810.13415
-
[95]
S. Shaymatov, B. Ahmedov, M. De Laurentis et al., Astrophys. J. 959(1), 6 (2023), arXiv: 2307.10804
-
[96]
GRAVITY Collaboration, Astron. Astrophys. 636, L5 (2020), arXiv: 2004.07187
-
[97]
J. M. Yan, Q. Wu, C. Liu et al., J. Cosmol. Astropart. Phys. 2022(9), 008 (2022), arXiv: 2203.03203
-
[98]
S. E. Gralla, D. E. Holz, R. M. Wald et al., Phys. Rev. D 100, 024018 (2019)
-
[99]
J. Peng, M. Guo, and X. H. Feng, Chin. Phys. C 45(8), 085103 (2021)
-
[100]
I. D. Novikov and K. S. Thorne, Astrophysics and black holes, 343–550, (1973)
-
[101]
L. You, Y. H. Feng, R. B. Wang et al., Universe 10(10), 393 (2024), arXiv: 2404.01418
-
[102]
I. D. Novikov and K. S. Thorne, Astrophysics of black holes, Gordon and Breach, (Science Publishers, Inc, United States, 1973)
-
[103]
N. I. Shakura, R. A. Sunyaev, Astron. Astrophys. 24, 337 (1973)
-
[104]
K. S. Thorne, Astrophys. J. 191, 507 (1974)
-
[105]
S. L. Shapiro and S. A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars, (John Wiley & Sons, New York, 1983)
-
[106]
S. Shaymatov, P. Sheoran, and S. Siwach, Phys. Rev. D 105(10), 104059 (2022), arXiv: 2110.10610
-
[107]
G. F. R. Ellis, Gen. Relativ. Gravit. 41(3), 581 (2009)
-
[108]
J. P. Luminet, Astron. Astrophys. 75, 228 (1979)