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arXiv · hep-th/0404186

Spacetime deployments parametrized by gravitational and electromagnetic fields

Jacques L. Rubin·Thierry Grandou
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Abstract

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.

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Jacques L. Rubin, Thierry Grandou. 2004-10-07. Spacetime deployments parametrized by gravitational and electromagnetic fields. https://arxiv.org/abs/hep-th/0404186

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