Spherically symmetric wave solution of Einstein's equations in the weak field approximation (Communicated by Corresponding Member Lev M. Tomilchik)

Abstract

In the linear approximation of general relativity, an exact spherically symmetric non-static solution of Einstein's equations is obtained. It describes a gravitational wave depending on a retarded argument. The non-zero expressions for the momentum density of the wave and the forces acting on a test particle are obtained.