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arXiv · 1609.00102

Approximate Kerr-Newman-like Metric with Quadrupole

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.

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Francisco Frutos-Alfaro, Paulo Montero-Camacho. 2016-09-01. Approximate Kerr-Newman-like Metric with Quadrupole. https://arxiv.org/abs/1609.00102

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