Can rigidly rotating polytropes be sources of the Kerr metric?

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dc.creatorMartin, J.
dc.creatorMolina, A.
dc.creatorRuiz, E.
dc.date2007-09-07
dc.date.accessioned2026-07-07T11:42:18Z
dc.date.available2026-07-07T11:42:18Z
dc.descriptionWe use a recent result by Cabezas et al. to build up an approximate solution to the gravitational field created by a rigidly rotating polytrope. We solve the linearized Einstein equations inside and outside the surface of zero pressure including second-order corrections due to rotational motion to get an asymptotically flat metric in a global harmonic coordinate system. We prove that if the metric and their first derivatives are continuous on the matching surface up to this order of approximation, the multipole moments of this metric cannot be fitted to those of the Kerr metric.
dc.descriptionLaTeX, 17 pages, submitted to CQG
dc.identifierhttps://arxiv.org/abs/0709.1119
dc.identifierhttp://arxiv.org/abs/0709.1119
dc.identifierClass.Quant.Grav.25:105019,2008
dc.identifierdoi:10.1088/0264-9381/25/10/105019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200838
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCan rigidly rotating polytropes be sources of the Kerr metric?
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