Classic field theories of gravitation embedded in ten dimensions
| dc.creator | Estabrook, Frank B. | |
| dc.date | 2006-06-09 | |
| dc.date.accessioned | 2026-07-07T07:13:10Z | |
| dc.date.available | 2026-07-07T07:13:10Z | |
| dc.description | Two classic field theories of metric gravitation are given as constant-coefficient Exterior Differential Systems (EDS) on the flat orthonormal frame bundle over ten dimensional space. They are derivable by variation of Cartan 4-forms, and shown to be well-posed by calculation of their Cartan characteristic integers. Their solutions are embedded Riemannian 4-spaces. The first theory is generated by torsion 2-forms and Ricci-flat 3-forms and is a constant-coefficient EDS for vacuum tetrad gravity; its Cartan character table is the same as found for an EDS recently given in terms of tetrad frame and connection variables [1] [2]. The second constant-coefficient EDS is generated solely by 2-forms, and has a Cartan form of quadratic Yang-Mills type. Its solutions lie in torsion free 6-spaces and are fibered over 3-spaces. We conjecture that these solutions may be classically related to 10-dimensional quantum field theoretic constructions of cosmological vacua [3]. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0606045 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0606045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112351 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Classic field theories of gravitation embedded in ten dimensions | |
| dc.type | text |