Quantum effects on the black hole shadow and deflection angle in the presence of plasma

[1]
M. Reuter and E. Tuiran, in 11th Marcel Grossmann Meeting on General Relativity (2006) pp. 2608-2610, arXiv: hep-th/0612037
[2]
S. Haroon, M. Jamil, K. Lin et al., Eur. Phys. J. C 78, 519 (2018), arXiv:1712.08762[gr-qc
[3]
Y.-F. Cai and D. A. Easson, JCAP 09, 002 (2010), arXiv:1007.1317[hep-th
[4]
A. Bonanno and M. Reuter, Phys. Rev. D 62, 043008 (2000), arXiv:hep-th/0002196
[5]
J. Rayimbaev, A. Abdujabbarov, M. Jamil et al., Phys. Rev. D 102, 084016 (2020), arXiv:2010.15079[gr-qc
[6]
X. Lu and Y. Xie, Eur. Phys. J. C 79, 1016 (2019)
[7]
H.-Y. Lin and X.-M. Deng, Universe 8, 278 (2022)
[8]
K. Akiyama et al. (Event Horizon Telescope), Astrophys. J. Lett. 910, L13 (2021), arXiv:2105.01173[astro-ph.HE
[9]
Y. Tsunetoe, S. Mineshige, K. Ohsuga et al., Publ. Astron. Soc. Jap. 73, 912 (2021), arXiv:2012.05243[astro-ph.HE
[10]
V. Perlick, Ray Optics, Fermat’s Principle, and Applications to General Relativity, (Springer, Berlin, 2000).
[11]
V. Perlick, Living Rev. Rel. 7, 9 (2004)
[12]
V. Perlick and O. Y. Tsupko, Phys. Rev. D 95, 104003 (2017), arXiv:1702.08768[gr-qc
[13]
V. Perlick, O. Y. Tsupko, and G. S. Bisnovatyi-Kogan, Phys. Rev. D 92, 104031 (2015), arXiv:1507.04217[gr-qc
[14]
V. Perlick and O. Y. Tsupko, Phys. Rept. 947, 1 (2022), arXiv:2105.07101[gr-qc
[15]
J. Badía and E. F. Eiroa, Phys. Rev. D 104, 084055 (2021), arXiv:2106.07601[gr-qc
[16]
A. Das, A. Saha, and S. Gangopadhyay, Classical and Quantum Gravity 39, 075005 (2022), arXiv:2110.11704[gr-qc
[17]
A. Chowdhuri and A. Bhattacharyya, Phys. Rev. D 104, 064039 (2021), arXiv:2012.12914[gr-qc
[18]
A. Abdujabbarov, B. Ahmedov, N. Dadhich et al., Phys. Rev. D 96, 084017 (2017)
[19]
F. Atamurotov, B. Ahmedov, and A. Abdujabbarov, Phys. Rev. D 92, 084005 (2015), arXiv:1507.08131[grqc
[20]
G. Z. Babar, A. Z. Babar, and F. Atamurotov, Eur. Phys. J. C. 80, 761 (2020)
[21]
F. Atamurotov, K. Jusufi, M. Jamil et al., Phys. Rev. D 104, 064053 (2021), arXiv:2109.08150[gr-qc
[22]
F. Atamurotov, I. Hussain, G. Mustafa et al., Eur. Phys. J. C 82, 831 (2022), arXiv:2209.01652[gr-qc
[23]
F. Sarikulov, F. Atamurotov, A. Abdujabbarov et al., Eur. Phys. J. C 82, 771 (2022)
[24]
G. Z. Babar, F. Atamurotov, and A. Z. Babar, Physics of the Dark Universe 32, 100798 (2021)
[25]
F. Atamurotov, S. Shaymatov, P. Sheoran et al., J. Cosmol. A. P. 2021, 045 (2021), arXiv:2105.02214[gr-qc
[26]
F. Atamurotov, A. Abdujabbarov, and J. Rayimbaev, Eur. Phys. J. C 81, 118 (2021)
[27]
F. Atamurotov, D. Ortiqboev, A. Abdujabbarov et al., Eur. Phys. J. C 82, 659 (2022)
[28]
F. Atamurotov and S. G. Ghosh, Eur. Phys. J. Plus 137, 662 (2022)
[29]
F. Atamurotov, M. Alloqulov, A. Abdujabbarov et al., Eur. Phys. J. Plus 137, 634 (2022)
[30]
F. Atamurotov, F. Sarikulov, V. Khamidov et al., Eur. Phys. J. Plus 137, 567 (2022)
[31]
F. Atamurotov, F. Sarikulov, A. Abdujabbarov et al., Eur. Phys. J. Plus 137, 336 (2022)
[32]
F. Atamurotov, A. Abdujabbarov, and W.-B. Han, Phys. Rev. D 104, 084015 (2021)
[33]
G. Zaman Babar, F. Atamurotov, S. Ul Islam et al., Phys. Rev. D 103, 084057 (2021), arXiv:2104.00714[gr-qc
[34]
W. Javed, I. Hussain, and A. Övgün, Eur. Phys. J. Plus 137, 148 (2022), arXiv:2201.09879[gr-qc
[35]
E. F. Eiroa, G. E. Romero, and D. F. Torres, Phys. Rev. D. 66, 024010 (2002)
[36]
N. Tsukamoto, Phys. Rev. D 95, 064035 (2017), arXiv:1612.08251[gr-qc
[37]
S.-S. Zhao and Y. Xie, Eur. Phys. J. C 77, 272 (2017), arXiv:1704.02434[gr-qc
[38]
E. F. Eiroa and C. M. Sendra, Phys. Rev. D 86, 083009 (2012), arXiv:1207.5502[gr-qc
[39]
S.-S. Zhao and Y. Xie, Phys. Lett. B. 774, 357 (2017)
[40]
X.-Y. Zhu and Y. Xie, Eur. Phys. J. C 80, 444 (2020)
[41]
Y.-X. Gao and Y. Xie, Eur. Phys. J. C 82, 162 (2022)
[42]
C. R. Keeton and A. O. Petters, Phys. Rev. D 72, 104006 (2005), arXiv:gr-qc/0511019[gr-qc
[43]
Y.-X. Gao and Y. Xie, Phys. Rev. D 103, 043008 (2021)
[44]
X. Lu and Y. Xie, Eur. Phys. J. C 81, 627 (2021)
[45]
C.-Y. Wang, Y.-F. Shen, and Y. Xie, JCAP 2019, 022 (2019), arXiv:1902.03789[gr-qc
[46]
J. Zhang and Y. Xie, Eur. Phys. J. C 82, 471 (2022), arXiv:2201.09703[gr-qc
[47]
W.-G. Cao and Y. Xie, Eur. Phys. J. C 78, 191 (2018)
[48]
X.-T. Cheng and Y. Xie, Phys. Rev. D 103, 064040 (2021)
[49]
K. Akiyama et al. (Event Horizon Telescope), Astrophys. J. Lett. 930, L12 (2022)
[50]
K. Jusufi, S. Kumar, M. Azreg-Aïnou et al., Eur. Phys. J. C 82, 633 (2022), arXiv:2106.08070[gr-qc
[51]
K. Jusufi, S. Capozziello, S. Bahamonde et al., Eur. Phys. J. C 82, 1018 (2022), arXiv:2205.07629[gr-qc
[52]
A. Övgün and İ. Sakallı, Classical and Quantum Gravity 37, 225003 (2020), arXiv:2005.00982[gr-qc
[53]
R. C. Pantig, A. Övgün, and D. Demir, (2022), arXiv: 2208.02969[gr-qc]
[54]
M. Afrin, R. Kumar, and S. G. Ghosh, Mon. Not. R. Astron. Soc. 504, 5927 (2021), arXiv:2103.11417[gr-qc
[55]
G. Mustafa, F. Atamurotov, I. Hussain et al., Chinese Physics C 46, 125107 (2022), arXiv:2207.07608[gr-qc
[56]
F. Atamurotov, S. Shaymatov, and B. Ahmedov, Galaxies 9, 54 (2021)
[57]
J. L. Synge, Relativity: The General Theory, (NorthHolland, Amsterdam, 1960)
[58]
J. T. Mendonça, J. D. Rodrigues, and H. Terças, Phys. Rev. D 101, 051701 (2020), arXiv:1901.05910[physics.plasm-ph
[59]
A. Rogers, Mon. Not. R. Astron. Soc. 451, 17 (2015)
[60]
X. Er and A. Rogers, Mon. Not. R. Astron. Soc. 475, 867 (2018), arXiv:1712.06900[astro-ph.GA
[61]
J. L. Synge, Mon. Not. R. Astron. Soc. 131, 463 (1966)
[62]
G. S. Bisnovatyi-Kogan and O. Y. Tsupko, Mon. Not. Roy. Astron. Soc. 404, 1790 (2010)
[63]
H. Falcke, F. Melia, and E. Agol, Astrophys. J. Lett. 528, L13 (2000), arXiv:astro-ph/9912263
[64]
C. Bambi, Phys. Rev. D 87, 107501 (2013), arXiv:1304.5691[gr-qc
[65]
C. Bambi, Black Holes: A Laboratory for Testing Strong Gravity (Springer, 2017).
[66]
K. Saurabh and K. Jusufi, Eur. Phys. J. C 81, 490 (2021), arXiv:2009.10599[gr-qc
[67]
K. Jusufi and Saurabh, Mon. Not. Roy. Astron. Soc. 503, 1310 (2021), arXiv:2010.15870[gr-qc
[68]
R. Shaikh, P. Kocherlakota, R. Narayan et al., Mon. Not. Roy. Astron. Soc. 482, 52 (2019), arXiv:1802.08060[astro-ph.HE
[69]
S. Nampalliwar, A. G. Suvorov, and K. D. Kokkotas, Phys. Rev. D 102, 104035 (2020), arXiv:2008.04066[grqc