The General Solution of Bianchi Type III Vacuum Cosmology

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dc.creatorChristodoulakis, T.
dc.creatorTerzis, Petros A.
dc.date2006-07-17
dc.date2006-12-27
dc.date.accessioned2026-07-07T07:44:41Z
dc.date.available2026-07-07T07:44:41Z
dc.descriptionThe second order Ordinary Differential Equation which describes the unknown part of the solution space of some vacuum Bianchi Cosmologies is completely integrated for Type III, thus obtaining the general solution to Einstein's Field Equations for this case, with the aid of the sixth Painlevé transcendent $P_{VI}$. For particular representations of $P_{VI}$ we obtain the known Kinnersley two-parameter space-time and a solution of Euclidean signature. The imposition of the space-time generalization of a "hidden" symmetry of the generic Type III spatial slice, enables us to retrieve the two-parameter subfamily without considering the Painlevé transcendent.
dc.descriptionLatex2e, 18 pages, accepted in CQG
dc.identifierhttps://arxiv.org/abs/gr-qc/0607063
dc.identifierhttp://arxiv.org/abs/gr-qc/0607063
dc.identifierClass.Quant.Grav. 24 (2007) 875-887
dc.identifierdoi:10.1088/0264-9381/24/4/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123286
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe General Solution of Bianchi Type III Vacuum Cosmology
dc.typetext

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