Scalar-tensor cosmology at the general relativity limit: Jordan versus Einstein frame

Laur Järv, Piret Kuusk, and Margus Saal
Phys. Rev. D 76, 103506 – Published 2 November 2007

Abstract

We consider the correspondence between the Jordan frame and the Einstein frame descriptions of scalar-tensor theory of gravitation. We argue that since the redefinition of the scalar field is not differentiable at the limit of general relativity the correspondence between the two frames is lost at this limit. To clarify the situation we analyze the dynamics of the scalar field in different frames for two distinct scalar-tensor cosmologies with specific coupling functions and demonstrate that the corresponding scalar field phase portraits are not equivalent for regions containing the general relativity limit. Therefore the answer to the question of whether general relativity is an attractor for the theory depends on the choice of the frame.

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  • Received 5 June 2007

DOI:https://doi.org/10.1103/PhysRevD.76.103506

©2007 American Physical Society

Authors & Affiliations

Laur Järv*, Piret Kuusk, and Margus Saal

  • Institute of Physics, University of Tartu, Riia 142, Tartu 51014, Estonia

  • *laur@fi.tartu.ee
  • piret@fi.tartu.ee
  • margus@fi.tartu.ee

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Issue

Vol. 76, Iss. 10 — 15 November 2007

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