Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-31
Eur.Phys.J.C46:255-267,2006
Physics
High Energy Physics
High Energy Physics - Theory
33 pages
Scientific paper
10.1140/epjc/s2005-02443-2
In gauge theories parallel transporters (PTs) U(C) along paths C play an important role. Traditionally they are unitary or pseudoorthogonal maps between vector spaces. We propose to abandon unitarity of parallel transporters and with it the a priori assumption of metricity in general relativity. A *-operation on parallel transporters serves as a substitute for it, and this *-operation is proven to be unique on group theoretical grounds. The vierbein and the spin connection appear as distinguishable parts of a single de Sitter gauge field with field strength F. The action takes the form $\frac{3}{16\pi G\Lambda}\int tr(F \wedge F i \gamma_5)$ and both the Einstein field equations with arbitrarily small but nonvanishing cosmological constant $\Lambda$ and the condition of vanishing torsion are obtained from it. The equation of motion for classical massive bodies turns out to be de Sitter covariant.
Mack Gerhard
Prustel Thorsten
No associations
LandOfFree
Generalized Gauge Theories with Nonunitary Parallel Transport: General Relativity with Cosmological Constant as an Example 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 Generalized Gauge Theories with Nonunitary Parallel Transport: General Relativity with Cosmological Constant as an Example, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Gauge Theories with Nonunitary Parallel Transport: General Relativity with Cosmological Constant as an Example will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-116592