Faithful transformation of quasi-isotropic to Weyl-Papapetrou coordinates: A prerequisite to compare metrics

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dc.creatorPappas, G.
dc.creatorApostolatos, T. A.
dc.date2008-03-05
dc.date.accessioned2026-07-07T11:48:54Z
dc.date.available2026-07-07T11:48:54Z
dc.descriptionWe demonstrate how one should transform correctly quasi-isotropic coordinates to Weyl-Papapetrou coordinates in order to compare the metric around a rotating star that has been constructed numerically in the former coordinates with an axially symmetric stationary metric that is given through an analytical form in the latter coordinates. Since a stationary metric associated with an isolated object that is built numerically partly refers to a non-vacuum solution (interior of the star) the transformation of its coordinates to Weyl-Papapetrou coordinates, which are usually used to describe vacuum axisymmetric and stationary solutions of Einstein equations, is not straightforward in the non-vacuum region. If this point is \textit{not} taken into consideration, one may end up to erroneous conclusions about how well a specific analytical metric matches the metric around the star, due to fallacious coordinate transformations.
dc.description18 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0803.0602
dc.identifierhttp://arxiv.org/abs/0803.0602
dc.identifierClass.Quant.Grav.25:228002,2008
dc.identifierdoi:10.1088/0264-9381/25/22/228002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203051
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleFaithful transformation of quasi-isotropic to Weyl-Papapetrou coordinates: A prerequisite to compare metrics
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