Gravitational Waves in General Relativity

Abstract

THE emission of gravitational waves from a finite isolated axially symmetrical material system in otherwise empty space has been investigated by consideration of the metric : Einstein vacuum field equations have been solved by an expansion in negative powers of r which represents radial distance in a well-defined sense. In this expansion it has been assumed that only outgoing waves are present. The expression : represents mass in the static case, and forms a suitable generalization of this static concept to the dynamical case.