Application of the method of kinemetric invariants to the Cauchy problem in general relativity

A class of metrics in which the spatial part describes flat space is considered. The algebraic condition of reduction of the three-dimensional part of an arbitrary metric to Cartesian form is found. The Cauchy problem for these metrics is considered in terms of kinemetrically invariant quantities. The results are used to solve the Cauchy problem for a spherically symmetric gravitational field. A solution is also obtained for the tachyon twin of the Schwarzschild field.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 48–52, April, 1976.