Open AccessApproximate Kerr-Like Metric with Quadrupole
Author(s) -
Francisco Frutos─Alfaro
Publication year - 2016
Publication title -
international journal of astronomy and astrophysics
Language(s) - English
Resource type - Journals
eISSN - 2161-4725
pISSN - 2161-4717
DOI - 10.4236/ijaa.2016.63028
Subject(s) - physics , quadrupole , metric (unit) , kerr metric , spacetime , rotation (mathematics) , classical mechanics , mathematical physics , theoretical physics , mathematical analysis , quantum mechanics , geometry , mathematics , operations management , schwarzschild radius , economics
A new approximate metric representing the spacetime of a rotating deformedbody is obtained by perturbing the Kerr metric to include til the second orderof the quadrupole moment. It has a simple form, because is Kerr-like. ItsTaylor expansion form coincides with second order quadrupole metrics with slowrotation already found. Moreover, it can be transformed to an improvedHartle-Thorne metric, this guarantees its validity to be useful in studyingcompact object, and that it is possible to find an inner solution