Conformal equivalence in classical gravity: the example of "veiled" General Relativity

Details Conformal equivalence in classical gravity: the example of "veiled" General Relativity Conformal equivalence in classical gravity: the example of "veiled" General Relativity

2010-07-21

arxiv.org/abs/1007.3563v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figure, to appear in the Proceedings: Cosmology, Quantum Vacuum and Zeta Functions, 8-10 March, 2010

Scientific paper

In the theory of General Relativity, gravity is described by a metric which couples minimally to the fields representing matter. We consider here its "veiled" versions where the metric is conformally related to the original one and hence is no longer minimally coupled to the matter variables. We show on simple examples that observational predictions are nonetheless exactly the same as in General Relativity, with the interpretation of this "Weyl" rescaling "\`a la Dicke", that is, as a spacetime dependence of the inertial mass of the matter constituents.

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