Author(s)

Francisco Frutos-Alfaro^1*, Paulo Montero-Camacho¹, Miguel Araya¹, Javier Bonatti-González²

¹Space Research Center and School of Physics, University of Costa Rica, San José, Costa Rica.
²Nuclear Research Center and School of Physics, University of Costa Rica, San José, Costa Rica.

A new Kerr-like metric with quadrupole moment is obtained by means of perturbing the Kerr spacetime. The form of this new metric is simple as the Kerr metric. By comparison with the exterior Hartle-Thorne metric, it is shown that it could be matched to an interior solution. This approximate metric may represent the spacetime of a real astrophysical object with any Kerr rotation parameter a and slightly deformed.

Approximate Solutions of Einstein Equations, Kerr Metric, Erez-Rosen Metric, Quadrupole

Frutos-Alfaro, F. , Montero-Camacho, P. , Araya, M. and Bonatti-González, J. (2015) Approximate Metric for a Rotating Deformed Mass. International Journal of Astronomy and Astrophysics, 5, 1-10. doi: 10.4236/ijaa.2015.51001.