- [1]
I. T. Drummond and S. J. Hathrell, Phys. Rev. D,22: 343 (1980)
- [2]
M. S. Turner and L. M. Widrow, Phys. Rev. D,37: 2743 (1988)
- [3]
F. D. Mazzitelli and F. M. Spedalieri, Phys. Rev. D,52: 6694 (1995)
- [4]
G. Lambiase and A. R. Prasanna, Phys. Rev. D,70: 063502 (2004)
- [5]
A. Raya, J. E. M. Aguilar, and M. Bellini, Phys. Lett. B,638: 314 (2006)
- [6]
L. Campanelli, P. Cea, G. L. Fogliet al., Phys. Rev. D,77: 123002 (2008)
- [7]
K. Bamba and S. D. Odintsov, JCAP,0804: 024 (2008)
- [8]
K. T. Kim, P. P. Kronberg, P. E. Dewdneyet al., Astrophys. J.,355: 29 (1990)
- [9]
K. T. Kim, P. C. Tribble, and P. P. Kronberg, Astrophys. J.,379: 80 (1991)
- [10]
T. E. Clarke, P. P. Kronberg, and H. Boehringer, Astrophys. J.,547: L111 (2001)
- [11]
W. T. Ni, Phys. Rev. Lett.,38: 301 (1977)
- [12]
S. K. Solanki, O. Preuss, M. P. Hauganet al., Phys. Rev. D,69: 062001 (2004)
- [13]
T. Dereli and O. Sert, Eur. Phys. J. C,71: 1589 (2011)
- [14]
A. B. Balakin and J. P. S. Lemos, Class. Quantum Grav.,22: 1867 (2005)
- [15]
A. B. Balakin, V. V. Bochkarev, and J. P. S. Lemos, Phys. Rev. D,77: 084013 (2008)
- [16]
F. W. Hehl and Y. N. Obukhov, Lect. Notes Phys.,562: 479 (2001)
- [17]
A. Ritz and J. Ward, Phys. Rev. D,79: 066003 (2009)
- [18]
J. P. Wu, Y. Cao, X. M. Kuanget al., Phys. Lett. B,697: 153 (2011)
- [19]
D. Z. Ma, Y. Cao, and J. P. Wu, Phys. Lett. B,704: 604 (2011)
- [20]
D. Momeni, N. Majd, and R. Myrzakulov, Europhys. Lett.,97: 61001 (2012)
- [21]
D. Roychowdhury, Phys. Rev. D,86: 106009 (2012)
- [22]
D. Momeni, M. R. Setare, and R. Myrzakulov, Int. J. Mod. Phys. A,27: 1250128 (2012)
- [23]
D. Momeni and M. R. Setare, Mod. Phys. Lett. A,26: 2889 (2011)
- [24]
Z. X. Zhao, Q. Y. Pan, and J. L. Jing, Phys. Lett. B,719: 440 (2013)
- [25]
S. Chen and J. Jing, Phys. Rev. D,88: 064058 (2013)
- [26]
S. Chen and J. Jing, Phys. Rev. D,90: 124059 (2014)
- [27]
H. Liao, S. Chen, and J. Jing, Phys. Lett. B,728: 457-461 (2014)
- [28]
A. Einstein, Science,84: 506 (1936)
- [29]
P. Schneider, J. Ehlers, and E. E. Falco,Gravitational Lenses, Springer-Verlag, Berlin, (1992)
- [30]
C. Darwin, Proc. of the Royal Soc. of London,249: 180 (1959)
- [31]
K. S. Virbhadra and G. F. R. Ellis, Phys. Rev. D,65: 103004 (2002)
- [32]
C. M. Claudel, K. S. Virbhadra, and G. F. R. Ellis, J. Math. Phys.,42: 818 (2001)
- [33]
K. S. Virbhadra, D. Narasimha, and S. M. Chitre, Astron. Astrophys.,337: 1 (1998)
- [34]
K. S. Virbhadra and G. F. R. Ellis, Phys. Rev. D,62: 084003 (2000)
- [35]
K. S. Virbhadra, Phys. Rev. D,79: 083004 (2009)
- [36]
K. S. Virbhadra, Phys. Rev. D,77: 124014 (2008)
- [37]
S. Frittelly, T. P. Kling, and E. T. Newman, Phys. Rev. D,61: 064021 (2000)
- [38]
V. Bozza, S. Capozziello, G. lovaneet al., Gen. Rel. and Grav.,33: 1535 (2001)
- [39]
E. F. Eiroa, G. E. Romero, and D. F. Torres, Phys. Rev. D,66: 024010 (2002)
- [40]
E. F. Eiroa, Phys. Rev. D,71: 083010 (2005)
- [41]
R. Whisker, Phys. Rev. D,71: 064004 (2005)
- [42]
V. Bozza, Phys. Rev. D,66: 103001 (2002)
- [43]
V. Bozza, Phys. Rev. D,67: 103006 (2003)
- [44]
V. Bozza, F. De Luca, G. Scarpettaet al., Phys. Rev. D,72: 083003 (2005)
- [45]
V. Bozza, F. De Luca, and G. Scarpetta, Phys. Rev. D,74: 063001 (2006)
- [46]
G. N. Gyulchev and S. S. Yazadjiev, Phys. Rev. D,75: 023006 (2007)
- [47]
G. N. Gyulchev and S. S. Yazadjiev, Phys. Rev. D,78: 083004 (2008)
- [48]
S. Chen and J. Jing, Phys. Rev. D,85: 124029 (2012)
- [49]
A. Bhadra, Phys. Rev. D,67: 103009 (2003)
- [50]
T. Ghosh and S. Sengupta, Phys. Rev. D,81: 044013 (2010), arXiv:1001.5129
- [51]
A. N. Aliev and P. Talazan, Phys. Rev. D,80: 044023 (2009), arXiv:0906.1465
- [52]
C. Ding, C. Liu, Y. Xiaoet al., Phys. Rev. D,88: 104007 (2013)
- [53]
E. F. Eiroa and C. M. Sendra, Phys. Rev. D,88: 103007 (2013)
- [54]
S. Wei, Y. Liu, C. Fuet al., JCAP,1210: 053 (2012)
- [55]
S. Wei and Y. Liu, Phys. Rev. D,85: 064044 (2012)
- [56]
G. V. Kraniotis, Class. Quant. Grav.,28: 085021 (2011)
- [57]
Y. Liu, S. Chen, and J. Jing, Phys. Rev. D,81: 124017 (2010)
- [58]
S. Chen, Y. Liu, and J. Jing, Phys. Rev. D,83: 124019 (2011)
- [59]
L. Ji, S. Chen, and J. Jing, J. High Energy Phys.,03: 089 (2014)
- [60]
J. Sadeghi and H. Vaez, Phys. Lett. B,728: 170-182 (2014), arXiv: 1310.4486
- [61]
J. Sadeghi, A. Banijamali, and H. Vaez, Astrophys. Space Sci.,343: 559 (2013)
- [62]
E. F. Eiroa, Phys. Rev. D,73: 043002 (2006)
- [63]
S. Chen and J. Jing, JCAP,10: 002 (2015)
- [64]
R. D. Daniels and G. M. Shore, Nucl. Phys. B,425: 634 (1994)
- [65]
R. D. Daniels and G. M. Shore, Phys. Lett. B,367: 75 (1996)
- [66]
G. M. Shore, Nucl.Phys. B,633: 271 (2002)
- [67]
R. G. Cai, Nucl. Phys. B,524: 639 (1998)
- [68]
H. T. Cho, Phys. Rev. D,56: 6416-6424 (1997)
- [69]
V. A. De Lorenci, R. Klippert, M. Novelloet al., Phys. Lett. B,482: 134 (2000)
- [70]
V. V. Kiselev, Class. Quant. Gravity,20: 1187 (2003)
- [71]
L. Jiao and R. Yang, Eur. Phys. J. C,77: 356 (2017)
- [72]
P. K. F. Kuhfittig, Turk. J. Phys.,43: 213 (2019)
- [73]
M. Azreg-Aïnou, S. Bahamonde, and M. Jamil, Eur. Phys. J. C,77: 414 (2017)
- [74]
A. Övügn, I. Sakalli, and J. Saavedra, Annals of Physics,411: 167978 (2019)
- [75]
V. K. Shchigolev and D. N. Bezbatko, Gen. Relativ. Gravit.,51: 34 (2019)
- [76]
A. Övügn, K. Jusufi, and I. Sakalli, Annals of Physics,399: 193 (2018)
- [77]
K. Jusufi, A., Övügn, A. Banerjeeet al., Eur. Phys. J. Plus,134: 428 (2019)
- [78]
I. Sakalli and A. Övügn, EPL,118: 60006 (2017)
- [79]
Christian T. Byrneset al., JCAP,08: 041 (2018)
- [80]
J. O. Shipley, arXiv: 1909.04691[gr-qc]
- [81]
M. Visser, Class. Quant. Gravity,37: 045001 (2020)
- [82]
P. Boonserm, T. Ngampitipan, A. Simpsonet al., Phys. Rev. D,101: 024022 (2020)
- [83]
N. Tsukamoto, Phys. Rev. D,95: 064035 (2017)
- [84]
B. Carter, Phys. Rev.,174: 1559 (1968)
- [85]
J. W. Moffat, Eur. Phys. J. C,75: 175 (2015)
- [86]
S. Haroon, K. Jusufi, and M. Jamil, Universe,6: 23 (2020)