Conformal transformations and Nordstr\"om's scalar theory of gravity

Abstract

As we shall briefly recall, Nordstr\"om's theory of gravity is observationally ruled out. It is however an interesting example of non-minimal coupling of matter to gravity and of the role of conformal transformations. We show in particular that they could be useful to extend manifolds through curvature singularities.Comment: 9 pages, no figure, prepared for the Proceedings of YKIS2010, to be published in Progress of Theoretical Physics Supplemen