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Evolution of curvature and anisotropy near a nonsingular bounce

Author(s): Xue, BingKan; Steinhardt, Paul J.

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Abstract: We consider bouncing cosmologies in which an ekpyrotic contraction phase with w >> 1 is followed by a bouncing phase with w < - 1 that violates the null energy condition. The bouncing phase, induced by ghost condensation, is designed to produce a classically nonsingular bounce at a finite value of the scale factor. We show that the initial curvature and anisotropy, though diluted during the ekpyrotic phase, grow back exponentially during the bouncing phase. Moreover, curvature perturbations and anisotropy are generated by quantum fluctuations during the ekpyrotic phase. In the bouncing phase, however, an adiabatic curvature perturbation grows to dominate and contributes a blue spectrum that spoils the scale invariance. Meanwhile, a scalar shear perturbation grows nonlinear and creates an overwhelming anisotropy that disrupts the nonsingular bounce altogether.
Publication Date: 15-Oct-2011
Electronic Publication Date: 19-Oct-2011
Citation: Xue, BingKan, Steinhardt, Paul J. (2011). Evolution of curvature and anisotropy near a nonsingular bounce. PHYSICAL REVIEW D, 84, doi:10.1103/PhysRevD.84.083520
DOI: doi:10.1103/PhysRevD.84.083520
ISSN: 1550-7998
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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