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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1434-6044 1434-6052 |