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

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We 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.
LateX 15 pages, to be published in: Proc. `General Relativity, Cosmology, and Gravitational Lensing', (meeting in memory of R. de Ritis, Vietri, December 2000)

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General Relativity and Quantum Cosmology, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/33774

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0101070
 http://arxiv.org/abs/gr-qc/0101070
 General Relativity, Cosmology, and Gravitational Lensing, G. Marmo, C. Rubano and P. Scudellaro (eds.), Napoli Series on Physics and Astrophysics, Bibliopolis, Naples, 2002, 29-44

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arXiv