OPTICAL-MECHANICAL ANALOGY OF THE GRAVITATIONAL FIELD

Abstract

The paper deals with the problem of light propagation near the gravitating spherically symmetric bodies on the basis of the optical-mechanical analogy and the linear connection between the momentum and the energy of quantum within the metric approach to optical phenomena. This approach implies an effective description of the gravitational field by means of some optically inhomogeneous isotropic medium. From the solutions of eikonal equation and the geodesic lines equations, that lead to the same result in the case of the Schwarzschild metric, the relationship between the characteristics of massive astrophysical objects and the energy of quant in their gravitational field is defined.