Emerging singularities in the bouncing loop cosmology
- Astronomical Observatory, Jagiellonian University, 30-244 Krakow, Orla 171 (Poland) and Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen (Denmark)
In this paper we calculate O({mu}{sup 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}{sup 2}) quantization scheme and is shifted to the higher energies {rho}{sub bounce}=3{rho}{sub c}. Also, a pole in the Hubble parameter appears for {rho}{sub pole}=(3/2){rho}{sub 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.
- OSTI ID:
- 21212024
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 12; Other Information: DOI: 10.1103/PhysRevD.77.124008; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Loop Quantum Cosmology: holonomy corrections to inflationary models
Viability of the matter bounce scenario in F(T) gravity and Loop Quantum Cosmology for general potentials