On Conformal Vector Fields Parallel to The Observer Field

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dc.creatorDirmeier, Alexander
dc.creatorPlaue, Matthias
dc.creatorScherfner, Mike
dc.date2008-02-25
dc.date2008-04-11
dc.date.accessioned2026-07-07T09:31:28Z
dc.date.available2026-07-07T09:31:28Z
dc.descriptionWe review a theorem by Hasse and Perlick establishing a result characterizing parallax-free cosmological models via three equivalent properties -- namely the existence of a redshift potential, the existence of a conformal vector field parallel to the observer field, and the vanishing of the shear of the observer field together with some integrability condition. We are able to provide a simplified proof using Noether's theorem to calculate a conserved quantity along lightlike geodesics that is connected with the conformal symmetry. Thereby we derive more detailed information about the connection of the kinematical invariants to the redshift isotropy and the connection of conformal vector fields to the causality of spacetime.
dc.identifierhttps://arxiv.org/abs/0802.3642
dc.identifierhttp://arxiv.org/abs/0802.3642
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158466
dc.subjectMathematical Physics
dc.titleOn Conformal Vector Fields Parallel to The Observer Field
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