Compactifications of conformal gravity

Details Compactifications of conformal gravity Compactifications of conformal gravity

2005-04-11

arxiv.org/abs/hep-th/0504086v1

JHEP 0508 (2005) 019

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1088/1126-6708/2005/08/019

We study conformal theories of gravity, i.e. those whose action is invariant under the local transformation g_{\mu\nu} -> \omega^2 (x) g_{\mu\nu}. As is well known, in order to obtain Einstein gravity in 4D it is necessary to introduce a scalar compensator with a VEV that spontaneously breaks the conformal invariance and generates the Planck mass. We show that the compactification of extra dimensions in a higher dimensional conformal theory of gravity also yields Einstein gravity in lower dimensions, without the need to introduce the scalar compensator. It is the field associated with the size of the extra dimensions (the radion) who takes the role of the scalar compensator in 4D. The radion has in this case no physical excitations since they are gauged away in the Einstein frame for the metric. In these models the stabilization of the size of the extra dimensions is therefore automatic.

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