Exact solutions for Big Bounce in loop quantum cosmology
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
In this paper we study the flat (k=0) cosmological FRW model with holonomy corrections of Loop Quantum Gravity. The considered universe contains a massless scalar field and the cosmological constant Lambda. We find analytical solutions for this model in different configurations and investigate its dynamical behaviour in the whole phase space. We show the explicit influence of Lambda on the qualitative and quantitative character of solutions. Even in the case of positive Lambda the oscillating solutions without the initial and final singularity appear as a generic case for some quantisation schemes.
Cite
@article{arxiv.0801.0502,
title = {Exact solutions for Big Bounce in loop quantum cosmology},
author = {Jakub Mielczarek and Tomasz Stachowiak and Marek Szydlowski},
journal= {arXiv preprint arXiv:0801.0502},
year = {2008}
}
Comments
12 pages, 12 figures, added references and changed introduction and summary