Heidelberg 1999 – wissenschaftliches Programm
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GR: Gravitation und Relativitätstheorie
GR 9: Alternative Gravitationstheorien
GR 9.2: Vortrag
Dienstag, 16. März 1999, 18:30–18:50, AM1
Are there torsion monopoles? (Gibt es Torsionsmonopole?) — •Marc Toussaint — Institut für theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937 Köln
In gauge theoretical formulations of gravity, torsion can be interpreted as translational gauge field strength. In some standard solutions of these models the torsion exposes the typical characteristics of quasi-electric and quasi-magnetic monopoles. On the one hand these characteristics are of topological nature and prove the non-triviality of the gauge field in the presence of a quasi-magnetic monopole. On the other hand the characteristics are the quasi-magnetic (and -electric) charge of the field configuration that I define via an integration of the field strength (and its hodge dual) over a spatial S2 with infinite radius.
The NUT-type solution, e.g., with mass m and NUT parameter n leads to a quasi-electric charge m and a quasi-magnetic charge n of the time component of the torsion. It seems that a non-trivial Chern character confirms the magnetic nature of the NUT solution. Moreover the Kerr parameter j of a Kerr-type solutions may be interpreted as a quasi-electric charge of the ’rotational translation’ (along ∂ϕ) and the electric and magnetic charge as a quasi-electric and quasi-magnetic charge, respectively, of a translation in the 5th dimension of a Kaluza-Klein model.