Averaging from a global point of view

dc.creatorTanimoto, Masayuki
dc.date1999-04-29
dc.date1999-05-09
dc.date.accessioned2026-07-07T03:33:09Z
dc.date.available2026-07-07T03:33:09Z
dc.descriptionWe study the averaging problem from a point of view of variation of spatial volume $V$. We show that in the space of spherically symmetric dust solutions which are regular on the spatial manifold $S^3$ the variation $δV$ vanishes at the Friedmann-Lemaitre-Robertson-Walker (FLRW) solution in an appropriate sense, which supports the validity of the FLRW solution as the averaged solution. We also present the second variation $δ^2 V$, giving the leading effect of the deviation from the FLRW solution.
dc.description15 pages with 9 figures (REVTeX with epsf macro package), Minor corrections
dc.identifierhttps://arxiv.org/abs/gr-qc/9904080
dc.identifierhttp://arxiv.org/abs/gr-qc/9904080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36508
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleAveraging from a global point of view
dc.typetext

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