(Super)^{<B>n</B>}Energy for Arbitrary Fields and Its Interchange: Conserved Quantities
Abstract
Inspired by classical work of Bel and Robinson, a natural purely algebraic construction of superenergy (se) tensors for arbitrary fields is presented, having good mathematical and physical properties. Remarkably, there appear quantities with mathematical characteristics of energy densities satisfying the dominant property, which provides se estimates useful for global results and helpful in other matters. For physical fields, higher order (super)^{n}energy tensors involving the field and its derivatives arise. In special relativity, they provide infinitely many conserved quantities. The interchange of se between different fields is shown. The discontinuity propagation law in EinsteinMaxwell fields is related to se tensors, providing quantities conserved along null hypersurfaces. Finally, conserved se currents are found for any minimally coupled scalar field whenever there is a Killing vector.
 Publication:

Modern Physics Letters A
 Pub Date:
 2000
 DOI:
 10.1142/S0217732300000153
 arXiv:
 arXiv:grqc/9905057
 Bibcode:
 2000MPLA...15..159S
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 8 pages, LaTeX, no figures. This essay received an Honorable Mention in the 1999 Essay Competition of the Gravity Research Foundation