The double-Reissner-Nordstrom solution and the interaction force between two spherically symmetric charged particles

TL;DR

This paper derives a concise formula for the interaction force between two charged, spherically symmetric particles described by the double-Reissner-Nordstrom solution, confirming the possibility of equilibrium configurations with opposite charges.

Contribution

It reformulates the double-Reissner-Nordstrom solution using the Varzugin-Chistyakov parametrization and provides a new analytical expression for the interaction force.

Findings

Derived a concise analytical formula for the interaction force.

Confirmed the existence of equilibrium configurations with opposite charges.

Validated earlier predictions of such configurations.

Abstract

The physical representation of the general double-Reissner-Nordstrom solution is obtained by rewriting the N=2 Breton-Manko-Aguilar electrostatic solution in the Varzugin-Chistyakov parametrization (M_i, Q_i, R). A concise analytical formula is derived for the interaction force between two arbitrary Reissner-Nordstrom constituents, and an example of the equilibrium configuration involving two oppositely charged particles which confirms earlier Bonnor's prediction of the existence of such configurations is given.