Off-equatorial deflections and gravitational lensing. II. In general stationary and axisymmetric spacetimes

[1]
A. Einstein, Science 84, 506 (1936)
[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[astro-ph]
[4]
R. B. Metcalf and P. Madau, Astrophys. J. 563, 9 (2001), arXiv: astro-ph/0108224[astro-ph]
[5]
K. Sharon and T. L. Johnson, Astrophys. J. Lett. 800(2), L26 (2015), arXiv: 1411.6933[astro-ph.CO]
[6]
C. R. Keeton and A. O. Petters, Phys. Rev. D 72, 104006 (2005), arXiv: gr-qc/0511019[gr-qc]
[7]
A. Joyce, L. Lombriser and F. Schmidt, Ann. Rev. Nucl. Part. Sci. 66, 95 (2016), arXiv: 1601.06133[astro-ph.CO]
[8]
M. Aguilar et al., Phys. Rept. 894, 1 (2021)
[9]
R. M. Bionta, G. Blewitt, C. B. Bratton, D. Casper, A. Ciocio, R. Claus, B. Cortez, M. Crouch, S. T. Dye and S. Errede, et al., Phys. Rev. Lett. 58, 1494 (1987)
[10]
B. P. Abbott et al. [LIGO Scientific and Virgo], Phys. Rev. Lett. 116(6), 061102 (2016), arXiv: 1602.03837[gr-qc]
[11]
K. Akiyama et al. [Event Horizon Telescope], Astrophys. J. Lett. 875, L1 (2019), arXiv: 1906.11238[astro-ph.GA]
[12]
K. Akiyama et al. [Event Horizon Telescope], Astrophys. J. Lett. 930(2), L12 (2022), arXiv: 2311.08680[astro-ph.HE]
[13]
J. Jia, X. Pang and N. Yang, Gen. Rel. Grav. 50(4), 41 (2018), arXiv: 1704.01689[gr-qc]
[14]
J. Jia, J. Liu, X. Liu, Z. Mo, X. Pang, Y. Wang and N. Yang, Gen. Rel. Grav. 50(2), 17 (2018), arXiv: 1702.05889[gr-qc]
[15]
J. F. Glicenstein, Astrophys. J. 850(1), 102 (2017), arXiv: 1710.11587[astro-ph.HE]
[16]
G. Crisnejo, E. Gallo and K. Jusufi, Phys. Rev. D 100(10), 104045 (2019), arXiv: 1910.02030[gr-qc]
[17]
Z. Li, G. He and T. Zhou, Phys. Rev. D 101(4), 044001 (2020), arXiv: 1908.01647[gr-qc]
[18]
Z. Li and A. Övgün, Phys. Rev. D 101(2), 024040 (2020), arXiv: 2001.02074[gr-qc]
[19]
A. Ishihara, Y. Suzuki, T. Ono, T. Kitamura and H. Asada, Phys. Rev. D 94(8), 084015 (2016), arXiv: 1604.08308[gr-qc]
[20]
V. Bozza, Phys. Rev. D 66, 103001 (2002), arXiv: gr-qc/0208075[gr-qc]
[21]
S. Zhou, M. Chen and J. Jia,, S. Zhou, M. Chen and J. Jia, Eur. Phys. J. C 83(9), 883 (2023), arXiv: 2203.05415[gr-qc]
[22]
J. Jia and K. Huang, Eur. Phys. J. C 81(3), 242 (2021), arXiv: 2011.08084[gr-qc]
[23]
K. Huang and J. Jia, JCAP 08, 016 (2020), arXiv: 2003.08250[gr-qc]
[24]
J. Jia, Eur. Phys. J. C 80(3), 242 (2020), arXiv: 2001.02038[gr-qc]
[25]
Y. Duan, S. Lin and J. Jia, JCAP 07, 036 (2023), arXiv: 2304.07496[gr-qc]
[26]
G. W. Gibbons and M. C. Werner, Class. Quant. Grav. 25, 235009 (2008), arXiv: 0807.0854[gr-qc]
[27]
R. Fujita and W. Hikida, Class. Quant. Grav. 26, 135002 (2009), arXiv: 0906.1420[gr-qc]
[28]
I. Bray, Phys. Rev. D 34, 367 (1986)
[29]
M. Sereno and F. De Luca, Phys. Rev. D 74, 123009 (2006), arXiv: astro-ph/0609435[astro-ph]
[30]
G. V. Kraniotis, Class. Quant. Grav. 28, 085021 (2011), arXiv: 1009.5189[gr-qc]
[31]
S. E. Gralla and A. Lupsasca, Phys. Rev. D 101(4), 044031 (2020), arXiv: 1910.12873[gr-qc]
[32]
X. Yang and J. Wang, Astrophys. J. Suppl. 207, 6 (2013), arXiv: 1305.1250[astro-ph.HE]
[33]
T. Jiang, X. Xu and J. Jia, [arXiv: 2307.15174 [gr-qc]].
[34]
E. Hackmann and H. Xu, Phys. Rev. D 87(12), 124030 (2013), arXiv: 1304.2142[gr-qc]
[35]
X. L. Yang and J. C. Wang, Astron. Astrophys. 561, A127 (2014), arXiv: 1311.4436[gr-qc]
[36]
G. N. Gyulchev and S. S. Yazadjiev, Phys. Rev. D 75, 023006 (2007), arXiv: gr-qc/0611110[gr-qc]
[37]
N. U. Molla and U. Debnath, Int. J. Mod. Phys. A 36(27), 2150210 (2021)
[38]
M. Wang, S. Chen and J. Jing, JCAP 10, 051 (2017), arXiv: 1707.09451[gr-qc]
[39]
S. U. Islam, J. Kumar and S. G. Ghosh, JCAP 10, 013 (2021), arXiv: 2104.00696[gr-qc]
[40]
A. Sen, Phys. Rev. Lett. 69, 1006 (1992), arXiv: hep-th/9204046[hep-th]
[41]
J. Mazza, E. Franzin and S. Liberati, JCAP 04, 082 (2021), arXiv: 2102.01105[gr-qc]
[42]
R. Konoplya and A. Zhidenko, Phys. Lett. B 756, 350 (2016), arXiv: 1602.04738[gr-qc]
[43]
C. Bambi and L. Modesto, Phys. Lett. B 721, 329 (2013), arXiv: 1302.6075[gr-qc]
[44]
S. G. Ghosh, Eur. Phys. J. C 75(11), 532 (2015), arXiv: 1408.5668[gr-qc]
[45]
V. K. Tinchev, Chin. J. Phys. 53, 110113 (2015), arXiv: 1512.09164[gr-qc]
[46]
B. Bezdekova, V. Perlick and J. Bicak, J. Math. Phys. 63(9), 092501 (2022), arXiv: 2204.05593[gr-qc]
[47]
B. Carter, Phys. Rev. 174, 1559 (1968)
[48]
J. Brink, Phys. Rev. D 81, 022001 (2010), arXiv: 0911.1589[gr-qc]
[49]
O. Zelenka and G. Lukes-Gerakopoulos, [arXiv: 1711.02442 [gr-qc]].
[50]
G. Lukes-Gerakopoulos, Phys. Rev. D 86, 044013 (2012), arXiv: 1206.0660[gr-qc]
[51]
G. V. Kraniotis, Gen. Rel. Grav. 46(11), 1818 (2014), arXiv: 1401.7118[gr-qc]
[52]
T. Hsieh, D. S. Lee and C. Y. Lin, Phys. Rev. D 103(10), 104063 (2021), arXiv: 2101.09008[gr-qc]
[53]
G. He and W. Lin, Phys. Rev. D 105(10), 104034 (2022), arXiv: 2112.08142[gr-qc]
[54]
S. Ghosh and A. Bhattacharyya, JCAP 11, 006 (2022), arXiv: 2206.09954[gr-qc]
[55]
Y. W. Hsiao, D. S. Lee and C. Y. Lin, Phys. Rev. D 101(6), 064070 (2020), arXiv: 1910.04372[gr-qc]
[56]
G. N. Gyulchev and S. S. Yazadjiev, Phys. Rev. D 81, 023005 (2010), arXiv: 0909.3014[gr-qc]
[57]
J. Jiang, X. Liu and M. Zhang, Phys. Rev. D 100(8), 084059 (2019), arXiv: 1910.04060[hep-th]
[58]
K. Gao and L. H. Liu, [arXiv: 2307.16627 [gr-qc]].
[59]
A. Fienga, L. Bigot, D. Mary, P. Deram, A. Di Ruscio, L. Bernus, M. Gastineau and J. Laskar, IAU Symp. 364, 31 (2019), arXiv: 2111.04499[astro-ph.EP]
[60]
G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15, 2738 (1977)
[61]
J. G. Miller, J. Math. Phys. 14(4), 486 (1973)
[62]
A. Anabalón, F. Gray, R. Gregory, D. Kubizňák and R. B. Mann, JHEP 04, 096 (2019), arXiv: 1811.04936[hep-th]