Exact Charged 2-Body Motion and the Static Balance Condition in Lineal Gravity

TL;DR

This paper presents an exact solution to the charged two-body problem in (1+1) dimensional lineal gravity, extending the Majumdar-Papapetrou static balance condition to a relativistic setting.

Contribution

It introduces the first exact relativistic solution for charged two-body systems in lineal gravity that generalizes the static balance condition.

Findings

Exact solution to charged 2-body problem in (1+1)D gravity

Generalization of Majumdar-Papapetrou condition

First relativistic static balance example in lineal gravity

Abstract

We find an exact solution to the charged 2-body problem in $(1+1)$ dimensional lineal gravity which provides the first example of a relativistic system that generalizes the Majumdar-Papapetrou condition for static balance.