Some properties of Einstein's equations

For the matrix Q of the characteristic determinant of the field equations, left null vectors of general form are found. Some special solutions are constructed and some of their properties investigated.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 7–9, October, 1980.I am grateful to V. L. Bonch-Bruevich, N. S. Kardashov, and I. D. Novikov for assistance.