%0 Journal Article %T Approximate Kerr-Like Metric with Quadrupole %A Francisco Frutos-Alfaro %J International Journal of Astronomy and Astrophysics %P 334-345 %@ 2161-4725 %D 2016 %I Scientific Research Publishing %R 10.4236/ijaa.2016.63028 %X 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. %K General Relativity %K Einstein Field Equations %K Quadrupole Moment %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=70992