A Magnetic Mass Model within the General Relativity Framework

In this paper is presented a general-relativistic approach of cuasi-neutral bodies endowed with magnetic field. Starting from the similarity of neutron particles with neutron stars for which the general-relativistic framework is imposed, this treatment is extended to neutrons. A class of interior solutions is derived from the Einstein field equations for a spherically-symmetric distribution of a perfect magneto-fluid in the magnetohydrodinamic approximation and a magnetic mass model is proposed. The dependence of the metric and of physical parameters on the magnetic field leads to the conclusion that the mass is entirely magnetic in origin, which implies that the field equations do not admit interior solutions if the source consist only on perfect fluid.