Emerging singularities in the bouncing loop cosmology

被引:20
|
作者
Mielczarek, Jakub [1 ,2 ]
Szydlowski, Marek [3 ,4 ]
机构
[1] Jagiellonian Univ, Astron Observ, PL-30244 Krakow, Poland
[2] Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen, Denmark
[3] Catholic Univ Lublin, Dept Theoret Phys, PL-20950 Lublin, Poland
[4] Jagiellonian Univ, Marc Kac Complex Syst Res Ctr, PL-30059 Krakow, Poland
来源
PHYSICAL REVIEW D | 2008年 / 77卷 / 12期
关键词
D O I
10.1103/PhysRevD.77.124008
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper we calculate O(mu(4)) corrections from holonomies in the loop quantum gravity, usually not taken into account. Allowance of the corrections of this kind is equivalent with the choice of the new quatization scheme. Quantization ambiguities in the loop quantum cosmology allow for this additional freedom and presented corrections are consistent with the standard approach. We apply these corrections to the flat Friedmann-Robertson-Walker cosmological model and calculate the modified Friedmann equation. We show that the bounce appears in the models with the standard O(mu(2)) quantization scheme and is shifted to the higher energies rho(bounce)=3 rho(c). Also, a pole in the Hubble parameter appears for rho(pole)=3/2 rho(c) corresponding to hyperinflation/deflation phases. This pole represents a curvature singularity at which the scale factor is finite. In this scenario the singularity and bounce coexist. Moreover, we find that an ordinary bouncing solution appears only when quantum corrections in the lowest order are considered. Higher order corrections can lead to nonperturbative effects.
引用
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页数:6
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