Gravitational Radiation

In this paper, we investigate the existence of gravitational radiation within the framework of the EIH approximation method. Following a prescription introduced by Infeld, the radiation terms of the EIH expansion are begun with functions of the time alone. We find that these terms do not have physical significance if they are introduced in the scalar or longitudinal components of the gravitational potentials. However, if the radiation terms are introduced in the fifth order of the transverse-transverse components, one finds a contribution to the curvature tensor in the seventh order, a contribution to the equations of motion in the ninth order, and radiation in the tenth order. The existence of radiation is determined by calculating the energy passing through a spherical surface which is an infinite distance from all source points. This definition of radiation agrees with that used in the theory of electromagnetism.