Equation of motion for a spherically-symmetric shell in the relativistic theory of gravity

In the framework of the relativistic theory of gravity, the equation of motion for a spherically-symmetric singular shell is derived and integrated in the first approximation of the Newton potential U = m/r. We use the covariant energy-momentum conservation law for matter in the effective Riemannian space and, independently, the energy-momentum conservation law for the matter + gravity system in Minkowski space. For the problem under consideration, we show the equivalence of our approach to the classical formalism of singular shells.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 107, No. 2, pp. 344–352, May, 1996.Translated by A. M. Semikhatov.