Author(s)

Francisco Frutos-Alfaro

School of Physics and Space Research Center of the University of Costa Rica, San José, Costa Rica.

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.

General Relativity, Einstein Field Equations, Quadrupole Moment

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.