Asymmetric cyclic evolution in polymerised cosmology
General Relativity and Quantum Cosmology
2014-11-20 v1 High Energy Physics - Theory
Abstract
The dynamical systems methods are used to study evolution of the polymerised scalar field cosmologies with the cosmological constant. We have found all evolutional paths admissible for all initial conditions on the two-dimensional phase space. We have shown that the cyclic solutions are generic. The exact solution for polymerised cosmology is also obtained. Two basic cases are investigated, the polymerised scalar field and the polymerised gravitational and scalar field part. In the former the division on the cyclic and non-cyclic behaviour is established following the sign of the cosmological constant. The value of the cosmological constant is upper bounded purely from the dynamical setting.
Cite
@article{arxiv.0910.4837,
title = {Asymmetric cyclic evolution in polymerised cosmology},
author = {Orest Hrycyna and Jakub Mielczarek and Marek Szydlowski},
journal= {arXiv preprint arXiv:0910.4837},
year = {2014}
}
Comments
10 pages, 4 figs, JHEP3.cls