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Applications of Super-Energy Tensors

1999/12/13 by José M. M. Senovilla, J. M. M. Senovilla, Senovilla, J. M. M.
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Elasticity and Material Modeling #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9912050

10 pages, no figures, LaTeX. Contribution to appear in the Proceedings of the Spanish Relativity Meeting ERE-99

arxiv created 1999/12/13 · arxiv updated 2009/11/30

Abstract

In this contribution I intend to give a summary of the new relevant results obtained by using the general superenergy tensors. After a quick review of the definition and properties of these tensors, several of their mathematical and physical applications are presented. In particular, their interest and usefulness is mentioned or explicitly analyzed in 1) the study of causal propagation of general fields; 2) the existence of an infinite number of conserved quantities in Ricci-flat spacetimes; 3) the different gravitational theories, such as Einstein's General Relativity or, say, n=11 supergravity; 4) the appearance of some scalars possibly related to entropy or quality factors; 5) the possibility of superenergy exchange between different physical fields and the appearance of mixed conserved currents.

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