2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52601Using a proper gauge condition the static spherically symmetric solutions of Einstein-Maxwell equations with charged point source at the center are derived. It is shown that the solutions of the field equations are a three-parameter family depending on the Keplerian mass $M$, the charge $Q$ and the bare mass $M_0$. The result can be interpreted as a correction to Newton's gravitational potential and Coulomb's electric potential which are both regular at the centre where the massive point is placed. A correction to Gauss theorem is derived based on the nontrivial topology of the corresponding spacetime.28 pages, latex, no figuresHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext