Off-equatorial deflections and gravitational lensing. I. In Kerr spacetime and effect of spin

[1]
G. Fragione and A. Loeb, Astrophys. J. Lett. 932(2), L17 (2022), arXiv: 2205.12274[astro-ph.GA]
[2]
F. W. Dyson, A. S. Eddington and C. Davidson, Phil. Trans. Roy. Soc. Lond. A 220, 291 (1920)
[3]
M. Bartelmann and P. Schneider, Phys. Rept. 340, 291 (2001), arXiv: astro-ph/9912508
[4]
R. B. Metcalf and P. Madau, Astrophys. J. 563, 9 (2001), arXiv: astro-ph/0108224
[5]
H. Hoekstra and B. Jain, Ann. Rev. Nucl. Part. Sci. 58, 99 (2008)
[6]
K. Akiyama et al., Astrophys. J. Lett. 875, L1 (2019), arXiv: 1906.11238[astro-ph.GA]
[7]
K. Akiyama et al., Astrophys. J. Lett. 930(2), L12 (2022)
[8]
G. W. Gibbons and M. C. Werner, Class. Quant. Grav. 25, 235009 (2008)
[9]
M. C. Werner, Gen. Relativ. Gravit. 44, 3047 (2012)
[10]
Z. Li, G. He and T. Zhou, Phys. Rev. D 101(4), 044001 (2020), arXiv: 1908.01647[gr-qc]
[11]
G. Crisnejo, E. Gallo and K. Jusufi, Phys. Rev. D 100(10), 104045 (2019), arXiv: 1910.02030[gr-qc]
[12]
Z. Li and A. Övgün, Phys. Rev. D 101(2), 024040 (2020), arXiv: 2001.02074[gr-qc]
[13]
R. J. Beachley, M. Mistysyn, J. A. Faber, S. J. Weinstein and N. S. Barlow, Class. Quant. Grav. 35 , no.20, 205009 (2018) [erratum: Class. Quant. Grav. 35 , no.22, 229501 (2018)] doi: 10.1088/1361-6382/aae0cd[arXiv:1807.00055[gr-qc]].
[14]
J. Jia, Eur. Phys. J. C 80(3), 242 (2020), arXiv: 2001.02038[gr-qc]
[15]
H. Liu and J. Jia, Eur. Phys. J. C 80(10), 932 (2020), arXiv: 2006.11125[gr-qc]
[16]
A. Ishihara, Y. Suzuki, T. Ono, T. Kitamura and H. Asada, Phys. Rev. D 94(8), 084015 (2016), arXiv: 1604.08308[gr-qc]
[17]
Z. Li and J. Jia, Eur. Phys. J. C 80(2), 157 (2020), arXiv: 1912.05194[gr-qc]
[18]
K. Huang and J. Jia, JCAP 08, 016 (2020), arXiv: 2003.08250[gr-qc]
[19]
X. Pang and J. Jia, Class. Quant. Grav. 36(6), 065012 (2019), arXiv: 1806.04719[gr-qc]
[20]
Z. Li, W. Wang and J. Jia, Phys. Rev. D 106(12), 124025 (2022), arXiv: 2208.11458[gr-qc]
[21]
Z. Zhang, G. Fan and J. Jia, JCAP 09, 061 (2022), arXiv: 2207.09194[gr-qc]
[22]
Z. Li, Y. Duan and J. Jia, Class. Quant. Grav. 39(1), 015002 (2022), arXiv: 2012.14226[gr-qc]
[23]
X. Xu, T. Jiang and J. Jia, JCAP 08, 022 (2021), arXiv: 2105.12413[gr-qc]
[24]
X. Yang and J. Wang, Astrophys. J. Suppl. 207, 6 (2013), arXiv: 1305.1250[astro-ph.HE]
[25]
S. V. Iyer and E. C. Hansen, [arXiv: 0908.0085[gr-qc]].
[26]
A. B. Aazami, C. R. Keeton and A. O. Petters, J. Math. Phys. 52, 092502 (2011), arXiv: 1102.4300[astro-ph.CO]
[27]
A. B. Aazami, C. R. Keeton and A. O. Petters, J. Math. Phys. 52, 102501 (2011), arXiv: 1102.4304[astro-ph.CO]
[28]
G. He and W. Lin, Phys. Rev. D 93(2), 023005 (2016), arXiv: 2007.10566[gr-qc]
[29]
A. I. Renzini, C. R. Contaldi and A. Heavens, Phys. Rev. D 95(12), 124047 (2017), arXiv: 1706.04013[gr-qc]
[30]
C. Y. Liu, D. S. Lee and C. Y. Lin, Class. Quant. Grav. 34(23), 235008 (2017), arXiv: 1706.05466[gr-qc]
[31]
Y. W. Hsiao, D. S. Lee and C. Y. Lin, Phys. Rev. D 101(6), 064070 (2020), arXiv: 1910.04372[gr-qc]
[32]
D. C. Wilkins, Phys. Rev. D 5, 814 (1972)
[33]
R. Fujita and W. Hikida, Class. Quant. Grav. 26, 135002 (2009), arXiv: 0906.1420[gr-qc]
[34]
E. Hackmann, "Geodesic equations in black hole space-times with cosmological constant, " Bremen U. (2010)
[35]
E. Hackmann and H. Xu, Phys. Rev. D 87(12), 124030 (2013), arXiv: 1304.2142[gr-qc]
[36]
I. Bray, Phys. Rev. D 34, 367 (1986)
[37]
M. Sereno and F. De Luca, Phys. Rev. D 74, 123009 (2006), arXiv: astro-ph/0609435[astro-ph]
[38]
G. V. Kraniotis, Class. Quant. Grav. 28, 085021 (2011), arXiv: 1009.5189[gr-qc]
[39]
S. E. Gralla and A. Lupsasca, Phys. Rev. D 101(4), 044031 (2020), arXiv: 1910.12873[gr-qc]
[40]
J. F. Glicenstein, Astrophys. J. 850(1), 102 (2017), arXiv: 1710.11587[astro-ph.HE]
[41]
M. G. Aartsen et al., Science 361(6398), eaat1378 (2018)
[42]
M. G. Aartsen et al., Science 361(6398), 147 (2018)
[43]
R. Abbasi et al., Science 378(6619), 538 (2022), arXiv: 2211.09972[astro-ph.HE]
[44]
M. Aguilar et al., Phys. Rept. 894, 1 (2021)
[45]
B. P. Abbott et al., Phys. Rev. Lett. 116(6), 061102 (2016), arXiv: 1602.03837[gr-qc]
[46]
B. P. Abbott et al., Phys. Rev. Lett. 119(16), 161101 (2017), arXiv: 1710.05832[gr-qc]
[47]
D. Kapec and A. Lupsasca, Class. Quant. Grav. 37(1), 015006 (2020), arXiv: 1905.11406[hep-th]
[48]
X. Liu, J. Jia and N. Yang, Class. Quant. Grav. 33(17), 175014 (2016), arXiv: 1512.04037[gr-qc]
[49]
M. Sereno, Mon. Not. Roy. Astron. Soc. 344, 942 (2003), arXiv: astro-ph/0307243[astro-ph]
[50]
S. W. Wei, Y. X. Liu, C. E. Fu and K. Yang, JCAP 10, 053 (2012), arXiv: 1104.0776[hep-th]
[51]
M. H. Soffel, Relativity in Astrometry, Celestial Mechanics and Geodesy, Springer, 1989