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.

Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities / Kamenchtchik, A.; Pozdeeva, Ekaterina O.; Vernov, Sergey Yu.; Tronconi, Alessandro; Venturi, Giovanni. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - STAMPA. - 94:6(2016), pp. 063510.1-063510.16. [10.1103/PhysRevD.94.063510]

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

KAMENCHTCHIK, ALEXANDR;TRONCONI, ALESSANDRO;VENTURI, GIOVANNI
2016

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.
2016
Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities / Kamenchtchik, A.; Pozdeeva, Ekaterina O.; Vernov, Sergey Yu.; Tronconi, Alessandro; Venturi, Giovanni. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - STAMPA. - 94:6(2016), pp. 063510.1-063510.16. [10.1103/PhysRevD.94.063510]
Kamenchtchik, A.; Pozdeeva, Ekaterina O.; Vernov, Sergey Yu.; Tronconi, Alessandro; Venturi, Giovanni
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/588403
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