Effects of geometric optics in conformal Weyl gravity

@article{37781,
   author = {Abdujabbarov, Ahmadjon and Hakimov, Abdullo and Turimov, Bobur and Tursunov, Arman},
   article_number = {4},
   doi = {http://dx.doi.org/10.1007/s40065-019-0257-5},
   keywords = {Weyl gravity; geometrical optics; compact objects},
   language = {eng},
   issn = {2193-5343},
   journal = {Arabian Journal of Mathematics},
   title = {Effects of geometric optics in conformal Weyl gravity},
   url = {https://link.springer.com/article/10.1007%2Fs40065-019-0257-5},
   volume = {8},
   year = {2019}
}

TY  - JOUR
ID  - 37781
AU  - Abdujabbarov, Ahmadjon - Hakimov, Abdullo - Turimov, Bobur - Tursunov, Arman
PY  - 2019
TI  - Effects of geometric optics in conformal Weyl gravity
JF  - Arabian Journal of Mathematics
VL  - 8
IS  - 4
SP  - 259-267
EP  - 259-267
SN  - 21935343
KW  - Weyl gravity
KW  - geometrical optics
KW  - compact objects
UR  - https://link.springer.com/article/10.1007%2Fs40065-019-0257-5
L2  - https://link.springer.com/article/10.1007%2Fs40065-019-0257-5
N2  - We have investigated effect of geometric optics as the rotation of polarization vector of light in spacetime of gravitational compact object in the fourth-order theory of conformal Weyl gravity. The Pineault-Roeder method is applied to the rotating Weyl metric, and analytical results are obtained in the limit of weak field and or slow rotation. For the photon traveling parallel to the symmetry axes from the equatorial plane to infinity, the rotation of the polarization plane depends on the Weyl parameter gamma on the contrary to the Kerr spacetime where there is no rotation of polarization plane for this case.
ER  - 

ABDUJABBAROV, Ahmadjon, Abdullo HAKIMOV, Bobur TURIMOV and Arman TURSUNOV. Effects of geometric optics in conformal Weyl gravity. \textit{Arabian Journal of Mathematics}. 2019, vol.~8, No~4, p.~259-267. ISSN~2193-5343. Available from: https://dx.doi.org/10.1007/s40065-019-0257-5.