TITLE:
Approximate Kerr-Like Metric with Quadrupole
AUTHORS:
Francisco Frutos-Alfaro
KEYWORDS:
General Relativity, Einstein Field Equations, Quadrupole Moment
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.6 No.3,
September
29,
2016
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.