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GR: Gravitation und Relativitätstheorie

GR 8: Einstein-Yang-Mills klassisch, Skalarfelder, Ströme

GR 8.5: Talk

Thursday, March 20, 1997, 15:20–15:40, HS 132

Is a hadronic shear current one of sources in metric-affine gravity (MAG)? — •Friedrich W. Hehl and Yu.N. Obukhov — Inst.Theor.Physik, Universität, D-50923 Köln

The Minkowski space of special relativity can be understood as a flat 4-dimensional affine space enriched with a constant Minkowski metric. If one gauges the general affine group and ‘superimposes’ the metric, then we arrive at MAG, see [1]. The gravitational potentials are the spacetime coframe and the linear connection. The material energy-momentum is coupled to the coframe, a hypothetical hypermomentum current to the connection. The hypermomentum splits in a spin, a dilation, and a shear piece. We collect some evidence in favor of the existence of a material shear current in the context of Regge trajectories of hadronic matter, thus supporting the link between particle physics and MAG. [1] Hehl, McCrea, Mielke, Ne’eman: Physics Reports 258 (1995) 1