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arXiv · 1509.03698

Approximate Kerr-like Metric with Quadrupole

Francisco Frutos-Alfaro
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Abstract

A new approximate metric representing the spacetime of a rotating deformed body is obtained by perturbing the Kerr metric to include til the second order of the quadrupole moment. It has a simple form, because is Kerr-like. Its Taylor expansion form coincides with second order quadrupole metrics with slow rotation already found. Moreover, it can be transformed to an improved Hartle-Thorne metric, this guarantees its validity to be useful in studying compact object, and that it is possible to find an inner solution.

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Francisco Frutos-Alfaro. 2018-11-29. Approximate Kerr-like Metric with Quadrupole. https://doi.org/10.4236/ijaa.2016.63028.

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