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Abstract

The Einstein-Rosen matter is given by a space-time V4 in which the domains z < 0 and z > 0 are isometric. But, on the hypersurface z = 0 the Riemannian tensor Riklm and the Ricci tensor Rkl become delta-like infinite. On this surface the first derivations of the metric tensor gik have essential discontinuities. Therefore, it is impossible to cover the small domain –ε ≤ z ≤ +ε with one coordinate system of the class C2.