Regensburg 1998 – wissenschaftliches Programm
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GR: Gravitation und Relativitätstheorie
GR 3: Post-Einsteinsche Modelle
GR 3.6: Vortrag
Dienstag, 24. März 1998, 18:10–18:30, H47
On teleparallelism theories of gravity and the Kaniel-Itin model — •Uwe Muench, Frank Gronwald, and Friedrich W. Hehl — Institute for Theoretical Physics, University of Cologne, D-50923 Köln, Germany
Recently, Kaniel and Itin [1] proposed a teleparallelism theory of gravity. In their action principle they constrain the variation of the coframe ϑα, demanding commutativity of the variation and the Hodge star: δ ⋆ϑα= ⋆δϑα. We find that this restriction allows only Lorentz-type variations of the coframe. Therefore the resulting field equation of the constrained variation leads to the antisymmetric part of a wave equation for ϑα, in contrast to the full wave equation as claimed in [1]. The Rosen-Yilmaz metric g=e−2m/r dt2−e2m/r (dx2 +dy2 +dz2), see [3], solves the tracefree part of the wave equation. Thus it is also a solution of the Kaniel and Itin model.
[1] S. Kaniel and Y. Itin: Gravity on a parallelizable manifold, Los Alamos eprint archive gr-qc/9707008 (1997). Presented at the 8th Marcel Grossmann Meeting in Jerusalem on 1997-06-23
[2] F. W. Hehl, J. D. McCrea, E. W. Mielke, Y. Ne’eman: Metric-affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance, Physics Reports 258 (1995) 1–171.
[3] N. Rosen: A Theory of Gravitation, Ann. of Phys. 84 (1974) 455–473.