Two non-commutative parameters and regular cosmological phase transition in the semi-classical dilaton cosmology

Details Two non-commutative parameters and regular cosmological phase transition in the semi-classical dilaton cosmology Two non-commutative parameters and regular cosmological phase transition in the semi-classical dilaton cosmology

2007-08-08

arxiv.org/abs/0708.1059v2

Mod.Phys.Lett.A23:1079-1091,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures; v2. to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732308027047

We study cosmological phase transitions from modified equations of motion by introducing two non-commutative parameters in the Poisson brackets, which describes the initial- and future-singularity-free phase transition in the soluble semi-classical dilaton gravity with a non-vanishing cosmological constant. Accelerated expansion and decelerated expansion corresponding to the FRW phase appear alternatively, and then it ends up with the second accelerated expansion. The final stage of the universe approaches the flat spacetime independent of the initial state of the curvature scalar as long as the product of the two non-commutative parameters is less than one. Finally, we show that the initial-singularity-free condition is related to the second accelerated expansion of the universe.

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