Exterior Differential Systems for Einstein Vacuum and Kaluza Gravity Theories
High Energy Physics - Theory
2007-05-23 v2 General Relativity and Quantum Cosmology
Abstract
We present two families of exterior differential systems (EDS) for causal embeddings of orthonormal frame bundles over Riemannian spaces of dimension q = 2,3,4,5.. into orthonormal frame bundles over flat spaces of higher dimension. We calculate Cartan characters showing that these EDS are dynamical field theories. The first family includes a new non-isometric embedding EDS for classical Einstein vacuum relativity (q = 4). The second, generated only by 2-forms, is a family of classical "stringy" or Kaluza-type (q = 5) integrable systems. Cartan forms are found for all these dynamical systems.
Keywords
Cite
@article{arxiv.hep-th/0211270,
title = {Exterior Differential Systems for Einstein Vacuum and Kaluza Gravity Theories},
author = {Frank B. Estabrook},
journal= {arXiv preprint arXiv:hep-th/0211270},
year = {2007}
}
Comments
12 pages; More explicit title; two figures available from author