The minimum radius of a static body of mass \(M\) in the relativistic theory of gravity (Q2475551)

It was found by Schwarzschild in the framework of the general theory of relativity that the radius of a static body is always larger than the Schwarzschild radius \(r_g\). For constant density and finite pressure inside the body the radius will be larger than \({9\over 8} r_g\). The authors of the present paper find that in the framework of relativistic gravitation theory this result is valid for inhomogeneous as well as for homogeneous bodies without the assumption that the pressure is finite, because, according to RTG (unlike GTR) the pressure inside the body is always finite.