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 IJAA  Vol.6 No.3 , September 2016
Approximate Kerr-Like Metric with Quadrupole
Abstract: A new approximate metric representing the spacetime of a rotating deformed body is obtained by perturbing the Kerr metric to include up to the second order of the quadrupole moment. It has a simple form, because it 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, which guarantees its validity to be useful in studying compact object, and it is possible to find an inner solution.
Cite this paper: Frutos-Alfaro, F. (2016) Approximate Kerr-Like Metric with Quadrupole. International Journal of Astronomy and Astrophysics, 6, 334-345. doi: 10.4236/ijaa.2016.63028.
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