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Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities

Alexander Yu. Kamenshchik*

Ekaterina O. Pozdeeva† and Sergey Yu. Vernov‡

Alessandro Tronconi§ and Giovanni Venturi∥

  • Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, Via Irnerio 46, 40126 Bologna, Italy and L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences, Kosygin Street 2, 119334 Moscow, Russia

  • Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Leninskie Gory 1, 119991 Moscow, Russia

  • Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, Via Irnerio 46, 40126 Bologna, Italy

  • *kamenshchik@bo.infn.it
  • †pozdeeva@www-hep.sinp.msu.ru
  • ‡svernov@theory.sinp.msu.ru
  • §tronconi@bo.infn.it
  • ∥giovanni.venturi@bo.infn.it
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Phys. Rev. D 94, 063510 – Published 9 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.063510

Abstract

We study the relation between the Jordan-Einstein frame transition and the possible description of the crossing of singularities in flat Friedmann universes, using the fact that the regular evolution in one frame can correspond to crossing singularities in the other frame. We show that some interesting effects arise in simple models such as one with a massless scalar field or another wherein the potential is constant in the Einstein frame. The dynamics in these models and in their conformally coupled counterparts are described in detail, and a method for the continuation of such cosmological evolutions beyond the singularity is developed. We compare our approach with some other, recently developed, approaches to the problem of the crossing of singularities.

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Phys. Rev. D 94, 063510– Published 9 September, 2016
  • Received 25 February 2016

© 2016 American Physical Society

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