Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/30622

TítuloOn the conservation of superenergy and its applications
Autor(es)García-Parrado Gómez-Lobo, Alfonso
Palavras-chaveGeneral Relativity
Superenergy tensor
Global existence
Conservation law
Conserved current
Superenergy estimate
Bel–Robinson tensor
Data16-Jun-2014
EditoraIOP Publishing
RevistaClassical and quantum gravity
Resumo(s)In this work we present a geometric identity involving the Bel-Robinson tensor which is formally similar to the Sparling identity (which involves the Einstein tensor through the Einstein 3-form). In our identity the Bel-Robinson tensor enters through the {\em Bel-Robinson 3-form} which, we believe, is introduced in the literature for the first time. The meaning of this identity is that it is possible to formulate a {\em generic} conservation law for the quantity represented by the Bel-Robinson tensor (superenergy). We also show how one can use the Bel-Robinson 3-form to estimate the components of the Bel-Robinson tensor which are computed with respect to the causal elements of a frame. This estimate could be useful in a global existence proof of the solutions of a theory of gravitation in dimension four.
Tipoarticle
URIhttp://hdl.handle.net/1822/30622
DOI10.1088/0264-9381/31/13/135008
ISSN0264-9381
Versão da editorahttp://iopscience.iop.org/0264-9381/31/13/135008/
Arbitragem científicayes
AcessorestrictedAccess
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

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