Bonnor--Vaidya Charged Point Mass in an External Maxwell Field

TL;DR

This paper develops an approximate solution to Einstein-Maxwell equations for a charged mass accelerating in an external electromagnetic field, extending the Bonnor--Vaidya model to include external influences.

Contribution

It introduces a method to modify the Bonnor--Vaidya solution to incorporate external Maxwell and gravitational fields for small charge and mass.

Findings

Approximate solutions satisfying Einstein-Maxwell equations are obtained.

The model describes a charged mass under external electromagnetic influence.

The approach is valid for small charge and mass, providing insights into such systems.

Abstract

By introducing external Maxwell and gravitational fields we modify the Bonnor--Vaidya field of an arbitrarily accelerating charged mass moving rectilinearly in order to satisfy the vacuum Einstein--Maxwell field equations approximately, assuming the charge $e$ and the mass $m$ are small of first order.