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

 Título: On the conservation of superenergy and its applications Autor(es): García-Parrado Gómez-Lobo, Alfonso Palavras-chave: General RelativitySuperenergy tensorGlobal existenceConservation lawConserved currentSuperenergy estimateBel–Robinson tensor Data: 16-Jun-2014 Editora: IOP Publishing Revista: Classical 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. Tipo: article URI: http://hdl.handle.net/1822/30622 DOI: 10.1088/0264-9381/31/13/135008 ISSN: 0264-9381 Versão da editora: http://iopscience.iop.org/0264-9381/31/13/135008/ Arbitragem científica: yes Acesso: restrictedAccess Aparece nas coleções: CMAT - Artigos com arbitragem/Papers with refereeing

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