A Computer Program for the Newman-Janis Algorithm

TL;DR

This paper presents a REDUCE code implementation of the Newman-Janis algorithm, enabling the inclusion of rotation into specific spherically symmetric solutions of Einstein's equations, with applications to various spacetimes.

Contribution

The paper introduces a computational tool for applying the Newman-Janis algorithm to metrics with 1/r potentials, facilitating the study of rotating solutions in general relativity.

Findings

Successfully applied to multiple spacetimes

Automates the Newman-Janis algorithm process

Limited to metrics with 1/r potentials

Abstract

A REDUCE code for the Newman-Janis algorithm is described. This algorithm is intended to include rotation into nonrotating solutions of the Einstein field equations with spherically symmetry or perturbed spherically symmetry and has been successfully applied to many spacetimes. The applicability of the code is restricted to metrics containing potentials of the form 1/r.