Expanding ball in the scalar field model and in the relativistic theory of gravity

The first-order approximations for the internal and external fields of an expanding ball are evaluated in the scalar field model and in the relativistic theory of gravity. The similarity of the corresponding solutions is pointed out. It is suggested how the nonstatic properties possessed by solutions in the original inertial coordinates can be observed experimentally.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 104, No. 2, pp. 348–355, August, 1995.