http://arxiv.org/abs/2304.02219
We describe the gravitational lens on a constant-curvature background by using an optical constant-curvature (OCC) approach that allows to explicitly take into account a global geometry of the background space. First, light rays are curves in the space described by an optical metric. The OCC approach focuses on the case that the optical metric for the background spacetime has a constant curvature, for which the exact lens equation on an OCC background [Phys. Rev. D 105, 084022 (2022)] can be used. As a concrete example, next we discuss the gravitational lens in Mannheim-Kazanas (MK) solution, which include Rindler and de Sitter terms. By fully taking into account a background dependence of the light deflection, the deflection angle of light consistent with the OCC approach is well defined at large distance. In the OCC approach, finally, we examine the global behavior of the deflection angle and the gravitational lens observables in the Weyl gravity.
K. Takizawa and H. Asada
Thu, 6 Apr 23
52/76
Comments: 11 pages, 4 figures