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Nonperturbative analysis of the evolution of cosmological perturbations through a nonsingular bounce

Author(s): Xue, BingKan; Garfinkle, David; Pretorius, Frans; Steinhardt, Paul J

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Abstract: In bouncing cosmology, the primordial fluctuations are generated in a cosmic contraction phase before the bounce into the current expansion phase. For a nonsingular bounce, curvature and anisotropy grow rapidly during the bouncing phase, raising questions about the reliability of perturbative analysis. In this paper, we study the evolution of adiabatic perturbations in a nonsingular bounce by nonperturbative methods including numerical simulations of the nonsingular bounce and the covariant formalism for calculating nonlinear perturbations. We show that the bounce is disrupted in regions of the universe with significant inhomogeneity and anisotropy over the background energy density but is achieved in regions that are relatively homogeneous and isotropic. Sufficiently small perturbations, consistent with observational constraints, can pass through the nonsingular bounce with negligible alteration from nonlinearity. We follow scale invariant perturbations generated in a matterlike contraction phase through the bounce. Their amplitude in the expansion phase is determined by the growing mode in the contraction phase, and the scale invariance is well preserved across the bounce.
Publication Date: 15-Oct-2013
Electronic Publication Date: 10-Oct-2013
Citation: Xue, BingKan, Garfinkle, David, Pretorius, Frans, Steinhardt, Paul J. (2013). Nonperturbative analysis of the evolution of cosmological perturbations through a nonsingular bounce. PHYSICAL REVIEW D, 88 (10.1103/PhysRevD.88.083509
DOI: doi:10.1103/PhysRevD.88.083509
ISSN: 1550-7998
EISSN: 1550-2368
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW D
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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