2006/07/26 by José M. M. Senovilla · 1 citation
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Computational Fluid Dynamics and Aerodynamics #Cosmology and Gravitation Theories #gr-qc
paper · pdf · doi:10.1007/s10714-006-0390-2
published as Gen.Rel.Grav.39:361-386,2007 · 24 pages, no figures
arxiv created 2006/07/26 · openalex publication_date 2007/01/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
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.