Classical bounce: Constraints and consequences

F. T. Falciano, Marc Lilley, and Patrick Peter
Phys. Rev. D 77, 083513 – Published 21 April 2008

Abstract

We perform a detailed investigation of the simplest possible cosmological model in which a bounce can occur, namely, that where the dynamics is led by a simple massive scalar field in a general self-interacting potential and a background spacetime with positively curved spatial sections. By means of a phase space analysis, we give the conditions under which an initially contracting phase can be followed by a bounce and an inflationary phase lasting long enough (i.e., at least 60–70 e-folds) to suppress spatial curvature in today’s observable universe. We find that, quite generically, this realization requires some amount of fine-tuning of the initial conditions. We study the effect of this background evolution on scalar perturbations by propagating an initial power-law power spectrum through the contracting phase, the bounce, and the inflationary phase. We find that it is drastically modified, both spectrally (k-mode mixing) and in amplitude. It also acquires, at leading order, an oscillatory component, which, once evolved through the radiation and matter dominated eras, happens to be compatible with observational data.

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  • Received 13 December 2007

DOI:https://doi.org/10.1103/PhysRevD.77.083513

©2008 American Physical Society

Authors & Affiliations

F. T. Falciano*

  • ICRA-Centro Brasileiro de Pesquisas Físicas-CBPF, rua Xavier Sigaud, 150, Urca, CEP22290-180, Rio de Janeiro, Brazil and GReCO-Institut d’Astrophysique de Paris, UMR7095 CNRS, Université Pierre & Marie Curie, 98 bis boulevard Arago, 75014 Paris, France

Marc Lilley and Patrick Peter

  • GReCO-Institut d’Astrophysique de Paris, UMR7095 CNRS, Université Pierre & Marie Curie, 98 bis boulevard Arago, 75014 Paris, France

  • *ftovar@cbpf.br
  • lilley@iap.fr
  • peter@iap.fr

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Issue

Vol. 77, Iss. 8 — 15 April 2008

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