Loop quantum cosmology-corrected Gauss-Bonnet singular cosmology. (English) Zbl 1386.83132
Summary: In this work we investigate which Loop Quantum Cosmology (LQC)-corrected Gauss-Bonnet \(F(\mathcal{G})\) gravity can realize two singular cosmological scenarios, the intermediate inflation and the singular bounce scenarios. The intermediate inflation scenario has a Type III sudden singularity at \(t = 0\), while the singular bounce has a soft Type IV singularity. By using perturbative techniques, we find the holonomy-corrected \(F(\mathcal{G})\) gravities that generate at leading order the aforementioned cosmologies and we also argue that the effect of the holonomy corrections is minor to the power spectrum of the primordial curvature perturbations of the classical theory.
MSC:
| 83F05 | Relativistic cosmology |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 83C45 | Quantization of the gravitational field |
| 81Q70 | Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
Keywords:
loop quantum cosmology; inflationary cosmology; Gauss-Bonnet inflation; singular inflation; holonomy correctionsReferences:
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