Approximate Kerr-Newman-like Metric with Quadrupole
General Relativity and Quantum Cosmology
2016-09-02 v1
Abstract
The Kerr metric is known to present issues when trying to find an interior solution. In this work we continue in our efforts to construct a more realistic exterior metric for astrophysical objects. A new approximate metric representing the spacetime of a charged, rotating and slightly-deformed body is obtained by perturbing the Kerr-Newman metric to include the mass-quadrupole and quadrupole-quadrupole orders. It has a simple form, because is Kerr-Newman-like. Its post-linear form without charge coincides with post-linear quadrupole-quadrupole metrics already found.
Cite
@article{arxiv.1609.00102,
title = {Approximate Kerr-Newman-like Metric with Quadrupole},
author = {Francisco Frutos-Alfaro and Paulo Montero-Camacho},
journal= {arXiv preprint arXiv:1609.00102},
year = {2016}
}