1. Analytic study of cosmological perturbations in a unified model of dark matter and dark energy with a sharp transition
- Author
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Léo G. Medeiros, R. R. Cuzinatto, Eduardo M. de Morais, Robert H. Brandenberger, McGill Univ, Univ Fed Alfenas, Univ Fed Rio Grande do Norte, and Universidade Estadual Paulista (Unesp)
- Subjects
High Energy Physics - Theory ,Cosmology and Nongalactic Astrophysics (astro-ph.CO) ,Cold dark matter ,Dark matter ,FOS: Physical sciences ,Perturbation (astronomy) ,General Relativity and Quantum Cosmology (gr-qc) ,Astrophysics::Cosmology and Extragalactic Astrophysics ,Astrophysics ,01 natural sciences ,7. Clean energy ,General Relativity and Quantum Cosmology ,Sharp Transition ,0103 physical sciences ,Dark Matter ,010303 astronomy & astrophysics ,Physics ,010308 nuclear & particles physics ,Astronomy and Astrophysics ,Unified Model ,Dark Energy ,Redshift ,Supernova ,High Energy Physics - Theory (hep-th) ,Dark energy ,Cosmological Perturbations ,Dark fluid ,Astrophysics - Cosmology and Nongalactic Astrophysics - Abstract
We study cosmological perturbations in a model of unified dark matter and dark energy with a sharp transition in the late-time universe. The dark sector is described by a dark fluid which evolves from an early stage at redshifts $z > z_C$ when it behaves as cold dark matter (CDM) to a late time dark energy (DE) phase ($z < z_C$) when the equation of state parameter is $w = -1 + \epsilon$, with a constant $\epsilon$ which must be in the range $0 < \epsilon < 2/3$. We show that fluctuations in the dark energy phase suffer from an exponential instability, the mode functions growing both as a function of comoving momentum $k$ and of conformal time $\eta$. In order that this exponential instability does not lead to distortions of the energy density power spectrum on scales for which we have good observational results, the redshift $z_C$ of transition between the two phases is constrained to be so close to zero that the model is unable to explain the supernova data., Comment: 17 pages; 2 figures; v2: minor changes to match the published version
- Published
- 2018
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