Accelerated Born-Infeld Metrics in Kerr-Schild Geometry

TL;DR

This paper derives accelerated charge solutions within Einstein Born-Infeld theory in Kerr-Schild geometry, connecting known solutions and providing explicit energy flux formulas due to acceleration.

Contribution

It introduces new accelerated charge solutions in Einstein Born-Infeld theory and relates them to existing solutions, with explicit energy flux calculations.

Findings

Solutions reduce to Plebanski when acceleration is zero

Solutions approach Bonnor-Vaidya as Born-Infeld parameter b goes to infinity

Explicit energy flux formula due to acceleration

Abstract

We consider Einstein Born-Infeld theory with a null fluid in Kerr-Schild Geometry. We find accelerated charge solutions of this theory. Our solutions reduce to the Plebanski solution when the acceleration vanishes and to the Bonnor-Vaidya solution as the Born-Infeld parameter b goes to infinity. We also give the explicit form of the energy flux formula due to the acceleration of the charged sources.