Generalized Gauge Theories with Nonunitary Parallel Transport: General Relativity with Cosmological Constant as an Example

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dc.creatorMack, Gerhard
dc.creatorPrustel, Thorsten
dc.date2005-08-31
dc.date2005-10-24
dc.date.accessioned2026-07-07T12:25:31Z
dc.date.available2026-07-07T12:25:31Z
dc.descriptionIn 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 $\frac{3}{16πGΛ}\int tr(F \wedge F i γ_5)$ and both the Einstein field equations with arbitrarily small but nonvanishing cosmological constant $Λ$ 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.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0508249
dc.identifierhttp://arxiv.org/abs/hep-th/0508249
dc.identifierEur.Phys.J.C46:255-267,2006
dc.identifierdoi:10.1140/epjc/s2005-02443-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214631
dc.subjectHigh Energy Physics - Theory
dc.titleGeneralized Gauge Theories with Nonunitary Parallel Transport: General Relativity with Cosmological Constant as an Example
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