Genericness of inflation in isotropic loop quantum cosmology

Details Genericness of inflation in isotropic loop quantum cosmology Genericness of inflation in isotropic loop quantum cosmology

2004-07-19

arxiv.org/abs/gr-qc/0407069v4

Phys.Rev.Lett. 94 (2005) 011301

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, revtex4, one figure. Only e-print archive numbers correctedi in the second version. Reference added in the 3rd versio

Scientific paper

10.1103/PhysRevLett.94.011301

Non-perturbative corrections from loop quantum cosmology (LQC) to the scalar matter sector is already known to imply inflation. We prove that the LQC modified scalar field generates exponential inflation in the small scale factor regime, for all positive definite potentials, independent of initial conditions and independent of ambiguity parameters. For positive semi-definite potentials it is always possible to choose, without fine tuning, a value of one of the ambiguity parameters such that exponential inflation results, provided zeros of the potential are approached at most as a power law in the scale factor. In conjunction with generic occurrence of bounce at small volumes, particle horizon is absent thus eliminating the horizon problem of the standard Big Bang model.

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