MG11 |
Participant |
Itin, Yakov | |
Institution |
Hebrew University of Jerusalem - Givat Ram - Jerusalem - - ISRAEL | |
Session |
Talk |
Abstract |
AT1 |
Geometrical connections with Maxwell-type behavior |
We study which geometric structure can be constructed from the vierbein variables and which field models can be related to this geometry. A general family of linear coframe connections is constructed. For dynamical propagation of six additional degrees of freedom it is necessary for the gauge field of infinitesimal transformations to satisfy the system of two first order PDE. This system is similar to the vacuum Maxwell system and even coincides with it on a flat manifold. The corresponding ``Maxwell-compatible connections'' are derived. Alternatively, we derive the same Maxwell-type system as a symmetry conditions of the viable models Lagrangian. Exact spherical symmetric solution for our dynamical field is bounded near the Schwarzschild radius. Further off, it is close to the Coulomb field. |