Symmetric hyperbolic systems for a large class of fields in arbitrary dimension

Details Symmetric hyperbolic systems for a large class of fields in arbitrary dimension Symmetric hyperbolic systems for a large class of fields in arbitrary dimension

2006-07-26

arxiv.org/abs/gr-qc/0607120v1

Gen.Rel.Grav.39:361-386,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, no figures

Scientific paper

10.1007/s10714-006-0390-2

Symmetric hyperbolic systems of equations are explicitly constructed for a general class of tensor fields by considering their structure as r-fold forms. The hyperbolizations depend on 2r-1 arbitrary timelike vectors. The importance of the so-called "superenergy" tensors, which provide the necessary symmetric positive matrices, is emphasized and made explicit. Thereby, a unified treatment of many physical systems is achieved, as well as of the sometimes called "higher order" systems. The characteristics of these symmetric hyperbolic systems are always physical, and directly related to the null directions of the superenergy tensor, which are in particular principal null directions of the tensor field solutions. Generic energy estimates and inequalities are presented too.

Affiliated with

Also associated with

No associations

Rating

Symmetric hyperbolic systems for a large class of fields in arbitrary dimension 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 Symmetric hyperbolic systems for a large class of fields in arbitrary dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetric hyperbolic systems for a large class of fields in arbitrary dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-477562