Transverse geometry and physical observers

dc.creatorDelphenich, David
dc.date2007-11-13
dc.date.accessioned2026-07-07T08:42:40Z
dc.date.available2026-07-07T08:42:40Z
dc.descriptionIt is proposed that the mathematical formalism that is most appropriate for the study of spatially non-integrable cosmological models is the transverse geometry of a one-dimensional foliation (congruence) defined by a physical observer. By that means, one can discuss the geometry of space, as viewed by that observer, without the necessity of introducing a complementary sub-bundle to the line bundle of the observer or a codimension-one foliation transverse to the foliation of the observer. The concept of groups of transverse isometries acting on such a spacetime and the relationship of transverse geometry to spacetime threadings (1+3 decompositions) is also discussed.
dc.description23 pages, no figures
dc.identifierhttps://arxiv.org/abs/0711.2033
dc.identifierhttp://arxiv.org/abs/0711.2033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142044
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTransverse geometry and physical observers
dc.typetext

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