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Superinflation in loop quantum cosmology

2007/08/31 by Edmund J. Copeland, E. J. Copeland, David J. Mulryne +4 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1103/physrevd.77.023510

published as Phys.Rev.D77:023510,2008 · 11 pages, 2 figures. Extended discussion section

arxiv created 2008/01/08 · openalex publication_date 2008/01/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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