Effects of geometric optics in conformal Weyl gravity
Ahmadjon AbdujabbarovCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, Shanghai, 200438, ChinaAbdullo HakimovUlugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent, 100052, UzbekistanBobur TurimovInstitute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava, Bezručovo náměstí 13, 74601, Opava, Czech RepublicArman TursunovI. Physikalisches Institut der Universität zu Köln, Zülpicher Strasse 77, 50937, Cologne, Germany
ABI
Abstract
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.
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