Superinflation in loop quantum cosmology

E. J. Copeland, D. J. Mulryne, N. J. Nunes, and M. Shaeri
Phys. Rev. D 77, 023510 – Published 14 January 2008

Abstract

We investigate the dynamics of superinflation in two versions of loop quantum cosmology, one in which the Friedmann equation is modified by the presence of inverse volume corrections, and one in which quadratic corrections are important. Computing the tilt of the power spectrum of the perturbed scalar field in terms of fast-roll parameters, we conclude that the first case leads to a power spectrum that is scale invariant for steep power law negative potentials and for the second case, scale invariance is obtained for positive potentials that asymptote to a constant value for large values of the scalar field. It is found that in both cases, the horizon problem is solved with only a few e-folds of superinflationary evolution.

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  • Received 6 October 2007

DOI:https://doi.org/10.1103/PhysRevD.77.023510

©2008 American Physical Society

Authors & Affiliations

E. J. Copeland1,*, D. J. Mulryne2,†, N. J. Nunes2,‡, and M. Shaeri1,§

  • 1School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
  • 2Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom

  • *Ed.Copeland@nottingham.ac.uk
  • D.Mulryne@damtp.cam.ac.uk
  • nunes@damtp.cam.ac.uk
  • §ppxms1@nottingham.ac.uk

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Vol. 77, Iss. 2 — 15 January 2008

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