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Effects of the quantisation ambiguities on the Big Bounce dynamics · Around

2008

Effects of the quantisation ambiguities on the Big Bounce dynamics

Hrycyna, Orest, Mielczarek, Jakub, Szydlowski, Marek

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In this paper we investigate dynamics of the modified loop quantum cosmology models using dynamical systems methods.

Modifications considered come from the choice of the different field strength operator $\hat{F}$ and result in different forms of the effective Hamiltonian.
Such an ambiguity of the choice of this expression from some class of functions is allowed in the framework of loop quantisation.
Our main goal is to show how such modifications can influence the bouncing universe scenario in the loop quantum cosmology.

Built on

L. Perko, Differential Equations and Dynamical Systems (Springer-Verlag, New York, 1991)
1991
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, Class. Quant. Grav. 14
1997
Earlier work this paper cites.
A. Ashtekar, M. Bojowald, and J. Lewandowski, Adv. Theor. Math. Phys. 7
2003
Earlier work this paper cites.
M. Bojowald, Living Rev. Rel. 8
2005
Earlier work this paper cites.
K. Vandersloot, Phys. Rev. D71
2005
Earlier work this paper cites.

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Then

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