English

A Fundamental Theorem of Space-times

General Relativity and Quantum Cosmology 2016-08-15 v1

Abstract

The fundamental theorem of submanifolds is adapted to space-times. It is shown that the integrability conditions for the existence of submanifolds of a pseudo-Euclidean space contain the Einstein and Yang-Mills equations.

Keywords

Cite

@article{arxiv.gr-qc/9512028,
  title  = {A Fundamental Theorem of Space-times},
  author = {E. M. Monte and M. D. Maia},
  journal= {arXiv preprint arXiv:gr-qc/9512028},
  year   = {2016}
}

Comments

12 pages, Latex