Some Aspects of the Minimum-Energy Problem in General Relativity

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Abstract
It has been shown that the energy of a charged point mass is positive-definite, and that its metric expressed in isotropic coordinates represents a minimum-energy state. In this paper it is found that for an electric field about this particle which can be derived from a scalar potential, this energy is stationary regardless of the form of gravitational wave interaction, in first approximation (small-perturbation theory). Thus, it is expected that for certain metrics, such a state has lower energy, in first order, than one in which any weak external gravitation is included.