PREPRINT
021B5CE5-261F-463D-8A74-AABCF9A5E048

Singularities In Scalar-Tensor Cosmologies

Nemanja Kaloper, Keith A. Olive
arXiv:hep-th/9708008

Submitted on 4 August 1997

Abstract

In this article, we examine the possibility that there exist special scalar-tensor theories of gravity with completely nonsingular FRW solutions. Our investigation in fact shows that while most probes living in such a Universe never see the singularity, gravity waves always do. This is because they couple to both the metric and the scalar field, in a way which effectively forces them to move along null geodesics of the Einstein conformal frame. Since the metric of the Einstein conformal frame is always singular for configurations where matter satisfies the energy conditions, the gravity wave world lines are past inextendable beyond the Einstein frame singularity, and hence the geometry is still incomplete, and thus singular. We conclude that the singularity cannot be entirely removed, but only be made invisible to most, but not all, probes in the theory.

Preprint

Comment: 23 pages, latex, no figures

Subjects: High Energy Physics - Theory; Astrophysics; General Relativity and Quantum Cosmology

URL: https://arxiv.org/abs/hep-th/9708008