Abstract
A class of theories of gravitation that naturally incorporates preferred frames of reference is presented. The underlying space-time geometry consists of a partial parallelization of space-time and has properties of Riemann—Cartan as well as teleparallel geometry. Within this geometry, the kinematic quantities of preferred frames are associated with torsion fields. Using a variational method, it is shown in which way action functionals for this geometry can be constructed. For a special action the field equations are derived and the coupling to spinor fields is discussed.
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Kohler, C. Semi-Teleparallel Theories of Gravitation. General Relativity and Gravitation 32, 1301–1317 (2000). https://doi.org/10.1023/A:1001994705118
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DOI: https://doi.org/10.1023/A:1001994705118