Vi. Denissov, ANALYSIS OF THE PROPERTIES OF SOLUTIONS OF THE RELATIVISTIC THEORY OFGRAVITY IN THE VICINITY OF A SINGULAR SPHERE, Theoretical and mathematical physics, 111(1), 1997, pp. 507-510
The properties of the static, spherically symmetric metric tensor of t
he relativistic theory of gravity are analyzed in the vicinity of a si
ngular sphere. It is shown that a massive particle with a nongeodesic
radial motion may reach this sphere and remain there at rest. Based on
this property, it is inferred that a sphere formed by massive particl
es can serve as a source of singular metrics in the relativistic theor
y of gravity.