On the Gravitational Constant and Radius in Spherically Symmetric Problem of General Relativity

Abstract

The paper is concerned with the gravitational constant in the General Theory of Relativity (GTR) which is traditionally determined under the condition of asymptotic reduction of GTR equations to Newton gravitation equation for low intensity gravitation field. As shown in the paper, for spherically symmetric static GTR problem, the traditional gravitational constant is accordingly valid for low intensity gravitation field only and should be generalized for gravitation fields with high intensities. The same conclusion is made for the gravitational (Schwarzschild) radius.