TITLE:
Approximate Metric for a Rotating Deformed Mass
AUTHORS:
Francisco Frutos-Alfaro, Paulo Montero-Camacho, Miguel Araya, Javier Bonatti-González
KEYWORDS:
Approximate Solutions of Einstein Equations, Kerr Metric, Erez-Rosen Metric, Quadrupole
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.5 No.1,
March
4,
2015
ABSTRACT: 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.