UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 2:17

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Conference: Bucharest University Faculty of Physics 2004 Meeting


Section: Theoretical Physics and Applied Mathematics Seminar


Title:
Gauge fields in a torsion field


Authors:
Ion Rosu


Affiliation:
"Tudor Arghezi" Theoretical Highschool, Craiova, Romania


E-mail


Keywords:


Abstract:
In this paper we analyse the motion and the field equations in a non-null curvature and torsion space. In this 4-n dimensional space, the connection coefficients are $\gamma _{bc}^{a} = \frac{1}{2}S_{bc}^{a}+\frac{1}{2}T_{bc}^{a}$, where $S_{bc}^{a}$ is the symmetrical part and $T_{bc}^{a}$ are the components of the torsion tensor. We will consider that all the fields depend on $x={x^{\alpha}}, \alpha = 1,2,3,4$ and do not depend on $y={y^{k}}, k=1,2,...,n$. The factor $S_{bc}^{a}$ depends on the components of the metric tensor $g_{\alpha\beta}(x)$ and on the gauge fields $A_{\nu}^{s_{0}}(x)$ and the components of the torsion depend only on the gauge fields $A_{\nu}^{s_{0}}(x)$. We take into consideration the particular case for which the geodesic equations coincide with the motion equations in the presence of the gravitational and the gauge fields. In this case the field equations are Einstein equations in a 4-n dimensional space. We show that both the geodesic equations and the field equations can be obtained from a variational principle.