Article
The spacetime co-torsion in torsion-free biconformal spaces
Digital Commons
(2015)
Abstract
In preceding studies, [TR Gamma minus, TR Gamma plus] we showed that the solution for the connection of flat biconformal space also solves the curved space field equations for the torsion and co-torsion. We continued this investigation with an attempt to solve the full set of torsion and co-torsion field equations, with only the assumption of vanishing torsion and the known form of the metric. We successfully reduced the torsion equations to a single equation. Here, we reduce that equation to its essential degrees of freedom. We find that the spacetime co-torsion is entirely determined by the scale vector and certain contractions of the totally symmetric part of the difference of the symmetric connections.
Keywords
- Biconformal,
- conformal,
- gauge theory,
- gravity,
- torsion,
- co-torsion
Disciplines
Publication Date
Winter February 9, 2015
Citation Information
James Thomas Wheeler. "The spacetime co-torsion in torsion-free biconformal spaces" Digital Commons (2015) Available at: http://works.bepress.com/james_wheeler/116/