Fourth order Weyl gravity

Details Fourth order Weyl gravity Fourth order Weyl gravity

2006-05-19

arxiv.org/abs/astro-ph/0605504v3

Phys.Rev. D74 (2006) 023002

Astronomy and Astrophysics

Astrophysics

reference added, minor changes

Scientific paper

10.1103/PhysRevD.74.023002

The fourth order Weyl gravity theory of Mannheim and Kazanas is based on replacing the Einstein-Hilbert action with the square of the Weyl tensor, and on modifying the matter action of the standard model of particle physics to make it conformally invariant. This theory has been suggested as a model of both dark matter and dark energy. We argue that the conformal invariance is not a fundamental property of the theory, and instead is an artifact of the choice of variables used in its description. We deduce that in the limit of weak fields and slow motions the theory does not agree with the predictions of general relativity, and is therefore ruled out by Solar System observations.

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