Asymmetric cyclic evolution in polymerised cosmology

Details Asymmetric cyclic evolution in polymerised cosmology Asymmetric cyclic evolution in polymerised cosmology

2009-10-26

arxiv.org/abs/0910.4837v1

JCAP12(2009)023

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 4 figs, JHEP3.cls

Scientific paper

10.1088/1475-7516/2009/12/023

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.

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