Lowest order covariant averaging of a perturbed metric and of the Einstein tensor

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dc.creatorGromes, Dieter
dc.date2009-04-27
dc.date.accessioned2026-07-07T13:09:01Z
dc.date.available2026-07-07T13:09:01Z
dc.descriptionWe present an explicit averaging formula in lowest order. Besides an arbitrary smearing function it contains two integrals of this function. This is necessary in order to achieve covariance. There is no need to solve any equations. In three dimensions the same averaging formula yields a covariant averaging of the Einstein tensor and thus of the field equations. We also present a simple extension to static perturbations in four dimensions. Various further extensions of the formalism appear possible.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0904.4213
dc.identifierhttp://arxiv.org/abs/0904.4213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228605
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLowest order covariant averaging of a perturbed metric and of the Einstein tensor
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