General Relativity as a Conformally Invariant Scalar Gauge Field Theory

Authors: Essén, H.
Document Type: Article
Pubstate: Published
Journal: Int. J. of Theor. Phys
Volume: 29   183-187
Year: 1990


The global symmetry implied by the fact that one can multiply all masses with a common constant is made into a local, gauge symmetry. The matter action then becomes conformally invariant and it seems natural to choose for the corresponding scalar gauge field the action for a conformally invariant (massless) scalar field. The resulting conformally invariant theory turns out to be equivalent to general relativity. Since this means that the usual Einstein-Hilbert action is not, in fact, a true gauge action for the space-time geometry, the full theory ought to be supplied with such a term. Gauge-theoretic arguments and conformal invariance requirements dictate its form.