Abstract
Einstein field equations was originally derived by Einstein in 1915 in respect
with canonical formalism of Riemann geometry,i.e. by using the classical sufficiently
smooth metric tensor, smooth Riemann curvature tensor, smooth Ricci tensor,smooth
scalar curvature, etc.. However have soon been found singular solutions of the Einstein
field equations with degenerate and singular metric tensor and singular Riemann
curvature tensor. These degenerate and singular solutions of the Einstein field equations was formally accepted by main part of scientific community beyond rigorous canonical formalism of Riemannian geometry.