Robinson-trautman solutions

There is an examination of the particular class of solutions of the Robinson-Trautman type, which may be interpreted as the Schwarzschild solution with weak perturbations decaying exponentially. The energy-momentum tensor of the gravitational field is used to study the multipole nature of the radiation from these systems and the temporal and spatial distributions of this radiation. It is shown that this class of solutions is a particular subclass of the solutions of Bondi et al. for axisymmetric isolated sources with radiation. An information function for the systems is found.Order of the Red Banner of the Workers.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 43–49, September, 1969.In conclusion the author thanks D. I. Rodichev for fruitful discussion of these results.