The Dapor–Liegener model of loop quantum cosmology: a dynamical analysis
Abstract The Dapor–Liegener model of loop quantum cosmology (LQC), which depicts an emergent universe from a de Sitter regime in the contracting phase is studied from the mathematical viewpoint of dynamical systems and compared with the standard model of LQC. Dealing with perturbations, on the contr...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6402-z |
| _version_ | 1818928567553097728 |
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| author | Jaume de Haro |
| author_facet | Jaume de Haro |
| author_sort | Jaume de Haro |
| collection | DOAJ |
| description | Abstract The Dapor–Liegener model of loop quantum cosmology (LQC), which depicts an emergent universe from a de Sitter regime in the contracting phase is studied from the mathematical viewpoint of dynamical systems and compared with the standard model of LQC. Dealing with perturbations, on the contrary to standard LQC where at early times all the scales are inside the Hubble radius, we show that it is impossible to implement the matter bounce scenario due to the fact that an emergent de Sitter regime in the contracting phase implies that all the scales are outside of the Hubble radius in a past epoch. |
| first_indexed | 2024-12-20T03:30:58Z |
| format | Article |
| id | doaj.art-ee96a9d2e2cf4b30ae5387b4265d6e21 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-20T03:30:58Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-ee96a9d2e2cf4b30ae5387b4265d6e212022-12-21T19:54:59ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-11-0178111910.1140/epjc/s10052-018-6402-zThe Dapor–Liegener model of loop quantum cosmology: a dynamical analysisJaume de Haro0Departament de Matemàtiques, Universitat Politècnica de CatalunyaAbstract The Dapor–Liegener model of loop quantum cosmology (LQC), which depicts an emergent universe from a de Sitter regime in the contracting phase is studied from the mathematical viewpoint of dynamical systems and compared with the standard model of LQC. Dealing with perturbations, on the contrary to standard LQC where at early times all the scales are inside the Hubble radius, we show that it is impossible to implement the matter bounce scenario due to the fact that an emergent de Sitter regime in the contracting phase implies that all the scales are outside of the Hubble radius in a past epoch.http://link.springer.com/article/10.1140/epjc/s10052-018-6402-z |
| spellingShingle | Jaume de Haro The Dapor–Liegener model of loop quantum cosmology: a dynamical analysis European Physical Journal C: Particles and Fields |
| title | The Dapor–Liegener model of loop quantum cosmology: a dynamical analysis |
| title_full | The Dapor–Liegener model of loop quantum cosmology: a dynamical analysis |
| title_fullStr | The Dapor–Liegener model of loop quantum cosmology: a dynamical analysis |
| title_full_unstemmed | The Dapor–Liegener model of loop quantum cosmology: a dynamical analysis |
| title_short | The Dapor–Liegener model of loop quantum cosmology: a dynamical analysis |
| title_sort | dapor liegener model of loop quantum cosmology a dynamical analysis |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6402-z |
| work_keys_str_mv | AT jaumedeharo thedaporliegenermodelofloopquantumcosmologyadynamicalanalysis AT jaumedeharo daporliegenermodelofloopquantumcosmologyadynamicalanalysis |