Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-10-25
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, no figures, plenary talks given at the Spanish Relativity Meeting 2000, to be publisehd in the Proceedings of ERE-00
Scientific paper
We show how to generalize the classical electric-magnetic decomposition of the Maxwell or the Weyl tensors to arbitrary fields described by tensors of any rank in general $n$-dimensional spacetimes of Lorentzian signature. The properties and applications of this decomposition are reviewed. In particular, the definition of tensors quadratic in the original fields and with important positivity properties is given. These tensors are usually called "super-energy" (s-e) tensors, they include the traditional energy-momentum, Bel and Bel-Robinson tensors, and satisfy the so-called Dominant Property, which is a straightforward generalization of the classical dominant energy condition satisfied by well-behaved energy-momentum tensors. We prove that, in fact, any tensor satisfying the dominant property can be decomposed as a finite sum of the s-e tensors. Some remarks about the conservation laws derivable from s-e tensors, with some explicit examples, are presented. Finally, we will show how our results can be used to provide adequate generalizations of the Rainich conditions in general dimension and for any physical field.
No associations
LandOfFree
General Electric-Magnetic decomposition of fields, positivity and Rainich-like conditions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with General Electric-Magnetic decomposition of fields, positivity and Rainich-like conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General Electric-Magnetic decomposition of fields, positivity and Rainich-like conditions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-105466