Possible Forms of the Solution for Spherically Symmetric Static Problem in General Relativity

The paper is concerned with analysis of various forms of solution for the spherically symmetric static problem of the General Theory of Relativity (GTR). The problem under consideration is reduced to three equations for the components of the Einstein tensor which include three components of the metric tensor. However, only two of these three equations are mutually independent which means that the solution is not unique. Three possible forms of the solution are derived and analyzed in paper. One of these solutions is the traditional singular Schwarzchild solution, whereas two other solutions are not singular.