Group classification of the Sachs equations for a radiating axisymmetric, non-rotating, vacuum space-time

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dc.creatorIbragimov, Nail H.
dc.creatorWessels, Ewald J. H.
dc.creatorEllis, George F. R.
dc.date2006-11-21
dc.date.accessioned2026-07-07T12:53:44Z
dc.date.available2026-07-07T12:53:44Z
dc.descriptionWe carry out a Lie group analysis of the Sachs equations for a time-dependent axisymmetric non-rotating space-time in which the Ricci tensor vanishes. These equations, which are the first two members of the set of Newman-Penrose equations, define the characteristic initial-value problem for the space-time. We find a particular form for the initial data such that these equations admit a Lie symmetry, and so defines a geometrically special class of such spacetimes. These should additionally be of particular physical interest because of this special geometric feature.
dc.description18 Pages. Submitted to Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/gr-qc/0611109
dc.identifierhttp://arxiv.org/abs/gr-qc/0611109
dc.identifierClass.Quant.Grav.24:6007-6017,2007
dc.identifierdoi:10.1088/0264-9381/24/23/020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223722
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGroup classification of the Sachs equations for a radiating axisymmetric, non-rotating, vacuum space-time
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