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arXiv · hep-th/0406077

Point Electric Charge in General Relativity

P. P. Fiziev·S. V. Dimitrov
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Abstract

Using 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.

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P. P. Fiziev, S. V. Dimitrov. 2004-06-09. Point Electric Charge in General Relativity. https://arxiv.org/abs/hep-th/0406077

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