The averaged tensors of the relative energy-momentum and angular momentum in general relativity

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dc.creatorGarecki, Janusz
dc.date2005-05-30
dc.date2005-07-07
dc.date.accessioned2026-07-07T03:29:45Z
dc.date.available2026-07-07T03:29:45Z
dc.descriptionThere exist at least a few different kind of averaging of the differences of the energy-momentum and angular momentum in normal coordinates {\bf NC(P)} which give tensorial quantities. The obtained averaged quantities are equivalent mathematically because they differ only by constant scalar dimensional factors. One of these averaging was used in our papers [1-8] giving the {\it canonical superenergy and angular supermomentum tensors}. In this paper we present one other averaging of the energy-momentum and angular momentum differences which gives tensorial quantities with proper dimensions of the energy-momentum and angular momentum densities. But these averaged energy-momentum and angular momentum tensors, closely related to the canonical superenergy and angular supermomentum tensors, {\it depend on some fundamental length L}. The averaged energy-momentum and angular momentum tensors of the gravitational field obtained in the paper can be applied, like the canonical superenergy and angular supermomentum tensors, to coordinate independent local (and also global) analysis of this field.
dc.description15 pages, no figures, minor changes
dc.identifierhttps://arxiv.org/abs/gr-qc/0505151
dc.identifierhttp://arxiv.org/abs/gr-qc/0505151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35297
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe averaged tensors of the relative energy-momentum and angular momentum in general relativity
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