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We present an original way of presentation of the Schwarzschild black hole in the form of a point-like mass with the use of the Dirac delta-function, including a continuous collapse to such a point mass. A so-called field-theoretical formulation of GR, being equivalent to the standard geometrical presentation of GR, is used. All of the dynamical fields, including the gravitational field, are considered as propagating in a background (curved or at) spacetime. Namely these properties allow to resolve the problem. The results can be useful for analysis of LIGO's and VIRGO's recent discovery of the gravitational waves.