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Article
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 |
AbstractThe 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.
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