Spacetime deployments parametrized by gravitational and electromagnetic fields
摘要
On the basis of a "Punctual" Equivalence Principle of the general relativity context, we consider spacetimes with measurements of conformally invariant physical properties. Then, applying the Pfaff theory for PDE to a particular conformally equivariant system of differential equations, we make explicit the dependence of any kind of function describing a "spacetime deployment", on n(n+1) parametrizing functions, denoting by n the spacetime dimension. These functions, appearing in a linear differential Spencer sequence and determining gauge fields of spacetime deformations relatively to a "substrat spacetime", can be consistently ascribed to unified electromagnetic and gravitational fields, at any spacetime dimensions n greater or equal to 4.
引用
@article{arxiv.hep-th/0404186,
title = {Spacetime deployments parametrized by gravitational and electromagnetic fields},
author = {Jacques L. Rubin and Thierry Grandou},
journal= {arXiv preprint arXiv:hep-th/0404186},
year = {2007}
}
备注
26 pages, LaTeX2e, file macro "suppl.sty", correction in the definition of germs and local rings