Matter seen at many scales and the geometry of averaging in relativistic cosmology

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dc.creatorBuchert, Thomas
dc.creatorCarfora, Mauro
dc.date2001-01-17
dc.date.accessioned2026-07-07T03:25:36Z
dc.date.available2026-07-07T03:25:36Z
dc.descriptionWe investigate the scale-dependence of Eulerian volume averages of scalar functions on Riemannian three-manifolds. We propose a complementary view of a Lagrangian scaling of variables as opposed to their Eulerian averaging on spatial domains. This program explains rigorously the origin of the Ricci deformation flow for the metric, a flow which, on heuristic grounds, has been already suggested as a possible candidate for averaging the initial data set for cosmological spacetimes.
dc.descriptionLateX 15 pages, to be published in: Proc. `General Relativity, Cosmology, and Gravitational Lensing', (meeting in memory of R. de Ritis, Vietri, December 2000)
dc.identifierhttps://arxiv.org/abs/gr-qc/0101070
dc.identifierhttp://arxiv.org/abs/gr-qc/0101070
dc.identifierGeneral Relativity, Cosmology, and Gravitational Lensing, G. Marmo, C. Rubano and P. Scudellaro (eds.), Napoli Series on Physics and Astrophysics, Bibliopolis, Naples, 2002, 29-44
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33774
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleMatter seen at many scales and the geometry of averaging in relativistic cosmology
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