Weyl scalings and spinor matter interactions in scalar-tensor theories of gravitation

Dereli, Tekin and Tucker, Robin (1982) Weyl scalings and spinor matter interactions in scalar-tensor theories of gravitation. Physics Letters B, 110 (3-4). pp. 206-210. ISSN 0370-2693

Abstract

An SL(2,C) gauge formulation of a scalar-tensor theory of gravitation is related to the Brans-Dicke theory in the absence of spinorial matter couplings although the natural connection of space-time has a torsion determined by the scalar field. Simplified scaling properties of gravitational variables are elucidated in this geometry. In the presence of matter with intrinsic spin a natural scalar-spinor coupling is exposed. A locally scale invariant limit exists without a Weyl gauge field.