Generalization of regular solutions of Einstein's gravity equations and Maxwell's equations for point-like charge

Abstract

In the Born, Infeld, Bopp, Podolsky and Dirac theories the electron mass is finite (or zero), but gravity effects have not been considered. Shirokov and Fisher showed that in studying of origin of elemental particle masses we can not neglect these effects. Gravity field plays an essential role in interpretation of particle mass. It has been shown that for point-like charge the general solution of gravity and electromagnetic (EM) equations that contains arbitrary function $\mu(r)$, can in special case of this function, describe gravity and EM fields that do not have singularities in full range of $r$ from $0$ to $\infty$. In this paper we are trying to find more general solution.