Some Further Properties of the Accelerated Kerr-Schild Metrics

TL;DR

This paper extends accelerated Kerr-Schild metrics to include a cosmological constant, generalizing charged de Sitter solutions and their zero acceleration limits in Einstein-Maxwell and Einstein-Born-Infeld theories.

Contribution

It introduces a generalized class of Kerr-Schild metrics incorporating a cosmological constant, expanding previous solutions in Einstein-Maxwell and Einstein-Born-Infeld frameworks.

Findings

Derived new accelerated Kerr-Schild metrics with cosmological constant.

Generalized charged de Sitter metrics in static spacetimes.

Extended zero acceleration limits of previous solutions.

Abstract

We extend the previously found accelerated Kerr-Schild metrics for Einstein-Maxwell-null dust and Einstein-Born-Infeld-null dust equations to the cases including the cosmological constant. This way we obtain the generalization of the charged de Sitter metrics in static space-times. We also give a generalization of the zero acceleration limit of our previous Einstein-Maxwell and Einstein-Born-Infeld solutions.