Cosmological singularities and analytical solutions in varying vacuum cosmologies
Abstract We investigate the dynamical features of a large family of running vacuum cosmologies for which $$\Lambda $$ Λ evolves as a polynomial in the Hubble parameter. Specifically, using the critical point analysis we study the existence and the stability of singular solutions which describe de-Si...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6139-8 |
| _version_ | 1818540646027231232 |
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| author | Spyros Basilakos Andronikos Paliathanasis John D. Barrow G. Papagiannopoulos |
| author_facet | Spyros Basilakos Andronikos Paliathanasis John D. Barrow G. Papagiannopoulos |
| author_sort | Spyros Basilakos |
| collection | DOAJ |
| description | Abstract We investigate the dynamical features of a large family of running vacuum cosmologies for which $$\Lambda $$ Λ evolves as a polynomial in the Hubble parameter. Specifically, using the critical point analysis we study the existence and the stability of singular solutions which describe de-Sitter, radiation and matter dominated eras. We find several classes of $$\Lambda (H)$$ Λ(H) cosmologies for which new analytical solutions are given in terms of Laurent expansions. Finally, we show that the Milne universe and the $$R_{h}=ct$$ Rh=ct model can be seen as perturbations around a specific $$\Lambda (H)$$ Λ(H) model, but this model is unstable. |
| first_indexed | 2024-12-11T21:58:06Z |
| format | Article |
| id | doaj.art-1f698ac3e9cb4ff794b5c7d20a393848 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-11T21:58:06Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-1f698ac3e9cb4ff794b5c7d20a3938482022-12-22T00:49:14ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-08-0178811310.1140/epjc/s10052-018-6139-8Cosmological singularities and analytical solutions in varying vacuum cosmologiesSpyros Basilakos0Andronikos Paliathanasis1John D. Barrow2G. Papagiannopoulos3Academy of Athens, Research Center for Astronomy and Applied MathematicsInstituto de Ciencias Físicas y Matemáticas, Universidad Austral de ChileDAMTP, Centre for Mathematical Sciences, University of CambridgeFaculty of Physics, Department of Astronomy-Astrophysics-Mechanics, University of AthensAbstract We investigate the dynamical features of a large family of running vacuum cosmologies for which $$\Lambda $$ Λ evolves as a polynomial in the Hubble parameter. Specifically, using the critical point analysis we study the existence and the stability of singular solutions which describe de-Sitter, radiation and matter dominated eras. We find several classes of $$\Lambda (H)$$ Λ(H) cosmologies for which new analytical solutions are given in terms of Laurent expansions. Finally, we show that the Milne universe and the $$R_{h}=ct$$ Rh=ct model can be seen as perturbations around a specific $$\Lambda (H)$$ Λ(H) model, but this model is unstable.http://link.springer.com/article/10.1140/epjc/s10052-018-6139-8 |
| spellingShingle | Spyros Basilakos Andronikos Paliathanasis John D. Barrow G. Papagiannopoulos Cosmological singularities and analytical solutions in varying vacuum cosmologies European Physical Journal C: Particles and Fields |
| title | Cosmological singularities and analytical solutions in varying vacuum cosmologies |
| title_full | Cosmological singularities and analytical solutions in varying vacuum cosmologies |
| title_fullStr | Cosmological singularities and analytical solutions in varying vacuum cosmologies |
| title_full_unstemmed | Cosmological singularities and analytical solutions in varying vacuum cosmologies |
| title_short | Cosmological singularities and analytical solutions in varying vacuum cosmologies |
| title_sort | cosmological singularities and analytical solutions in varying vacuum cosmologies |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6139-8 |
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