Preface
Annotatsiya
More recently, the journal has been receiving articles in fields such as Differential and Riemannian Geometry and Classical Relativity.On the other hand, recent detection of gravitational waves from the coalescence of gravitational objects in close black hole and neutron star binaries by LIGO-VIRGO scientific collaboration, confirmation of black hole Sagittarius A* status at the Milky Way center by ESO's GRAVITY instrument and first detection of the black hole shadow in the center of elliptic galaxy M87 by the Event Horizon Telescope led to the rapidly growing interest in the study of relativistic astrophysical compact objects.In the light of these recent successes of general theory of relativity, AJM decided to further widen its scope by opening it to researchers working in areas such as Mathematical Physics, General Relativity, and Relativistic Astrophysics.It is in this spirit that AJM is publishing two special issues on Mathematical Physics, General Relativity and Relativistic Astrophysics.Well-known scientists working in the aforementioned areas were invited to write research or review articles.Of these invited scientists, ten accepted the invitation to contribute.The received papers were classified into two categories, (1) Mathematical Physics & General Relativity and (2) Relativistic Astrophysics.Based on these two categories of papers, the journal decided to publish two special issues with first including papers belonging to Mathematical Physics & General Relativity and the second to include papers on Relativistic Astrophysics.The first volume was published online in May 2019.A brief overview of the articles appearing in the second issue is as follows:The first paper by Abdujabbarov, Hakimov, Turimov and Tursunov discusses "Effects of geometric optics in conformal Weyl gravity".In their article the authors investigate effects of geometric optics as the rotation of polarization vector of light in space-time of gravitationally compact objects in the fourth-order theory of conformal Weyl gravity which is invariant under local conformal transformation.Applying the Pineault-Roeder method to rotation of polarization vector of electromagnetic waves propagating in spacetime of compact object in conformal Weyl gravity, analytic results are obtained in the limit of weak field and slow rotation.For photons traveling parallel to the symmetry axes from the equatorial plane to infinity, it is shown that the rotation of the polarization plane depends on the Weyl parameter γ contrary to the Kerr space-time where there is no rotation of polarization plane for the considered case.Using observational data of the well-known