Abstract

FRUTOS-ALFARO, Francisco; GOMEZ-OVARES, Pedro  and  MONTERO-CAMACHO, Paulo. Approximate Kerr-Newman-like metric with quadrupole. Rev. Mat [online]. 2021, vol.28, n.2, pp.295-310. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v28i2.37152.

The Kerr metric is known to have issues when trying to find a physical interior solution. In this work we continue our efforts to construct a more realistic exterior metric for astrophysical objects. A new approximate metric representing the spacetime of a charged, rotating and slightly-deformed body is obtained by perturbing the Kerr-Newman metric to include the mass-quadrupole and quadrupole-quadrupole orders. It has a simple form because it is Kerr-Newman-like.

Keywords : general relativity; solutions of Einstein’s equations; approximation procedures; weak fields..

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