Super-inflation in Loop Quantum Cosmology

Details Super-inflation in Loop Quantum Cosmology Super-inflation in Loop Quantum Cosmology

2007-08-09

arxiv.org/abs/0708.1261v3

Phys.Rev.D77:023510,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 2 figures. Extended discussion section

Scientific paper

10.1103/PhysRevD.77.023510

We investigate the dynamics of super-inflation 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 super-inflationary evolution.

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