A classical bounce: constraints and consequences

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dc.creatorFalciano, Felipe T.
dc.creatorLilley, Marc
dc.creatorPeter, Patrick
dc.date2008-02-08
dc.date2008-06-18
dc.date.accessioned2026-07-07T11:40:13Z
dc.date.available2026-07-07T11:40:13Z
dc.descriptionWe 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 the WMAP data.
dc.descriptionUpdated references, improved figure resolution
dc.identifierhttps://arxiv.org/abs/0802.1196
dc.identifierhttp://arxiv.org/abs/0802.1196
dc.identifierPhys.Rev.D77:083513,2008
dc.identifierdoi:10.1103/PhysRevD.77.083513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200188
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA classical bounce: constraints and consequences
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