Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-06-09
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
6 pages
Scientific paper
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].
No associations
LandOfFree
Classic field theories of gravitation embedded in ten dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Classic field theories of gravitation embedded in ten dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classic field theories of gravitation embedded in ten dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-543483