Late time evolution of negatively curved FLRW models
| Autor: | Annagiulia Pezzola, Roberto Giambò, John Miritzis |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
010308 nuclear & particles physics Equation of state (cosmology) Time evolution FOS: Physical sciences General Physics and Astronomy Perfect fluid General Relativity and Quantum Cosmology (gr-qc) Critical value 01 natural sciences General Relativity and Quantum Cosmology Maxima and minima symbols.namesake Friedmann–Lemaître–Robertson–Walker metric 0103 physical sciences symbols 010303 astronomy & astrophysics Scalar field Mathematical physics Scalar curvature |
| Zdroj: | The European Physical Journal Plus. 135 |
| ISSN: | 2190-5444 |
| DOI: | 10.1140/epjp/s13360-020-00370-3 |
| Popis: | We study the late time evolution of negatively curved Friedmann--Le\-ma\^{\i}tre--Robert\-son--Walker (FLRW) models with a perfect fluid matter source and a scalar field nonminimally coupled to matter. Since, under mild assumptions on the potential $V$, it is already known that equilibria corresponding to non-negative local minima for $V$ are asymptotically stable, we classify all cases where one of the energy components eventually dominates. In particular for nondegenerate minima with zero critical value, we rigorously prove that if $\gamma$, the parameter of the equation of state is larger than $2/3$, then there is a transfer of energy from the fluid and the scalar field to the energy density of the scalar curvature. Thus, the scalar curvature, if present, has a dominant effect on the late evolution of the universe and eventually dominates over both the perfect fluid and the scalar field. The analysis in complemented with the case where $V$ is exponential and therefore the scalar field diverges to infinity. Comment: accepted version for publication |
| Databáze: | OpenAIRE |
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