Dark Energy in a Hyperbolic Universe

Abstract

Dark energy models due to a slowly evolving scalar (quintessence) field $\varphi$ are studied for various potentials $V(\varphi )$ in a universe with negative curvature. The potentials differ in whether they possess a minimum at $\varphi =0$ or are monotonically declining, i.e. have a minimum at infinity. The angular power spectrum $C_l$ of the cosmic microwave background (CMB) as well as the magnitude-redshift relation $m_B(z)$ of the type Ia supernovae are compared with the quintessence models. It is demonstrated that some of the models with ${\Omega }_{t}ot\simeq \mathrm{0.85...0.9}$ are in agreement with the observations, i.e. possess acoustic peaks in the angular power spectrum of the CMB anisotropy as observed experimentally, and yield a magnitude-redshift relation in agreement with the data. Furthermore, it is found that the power spectrum $P(k)$ of the large-scale structure (LSS) agrees with the observations too.

10 pages

References in corpus (9)

• Cosmology and the Fate of Dilatation Symmetry
• Evidence for Reionization at z ~ 6: Detection of a Gunn-Peterson Trough in a z=6.28 Quasar
• The 2dF Galaxy Redshift Survey: The power spectrum and the matter content of the universe
• A High Spatial Resolution Analysis of the MAXIMA-1 Cosmic Microwave Background Anisotropy Data
• Early-universe constraints on a Primordial Scaling Field
• Structure Formation and the Time Dependence of Quintessence
• Strong Gravitational Lensing and Dark Energy
• Cross-Correlation of the Cosmic Microwave Background with Radio Sources: Constraints on an Accelerating Universe
• Cosmic Microwave Background Anisotropy with Cosine-Type Quintessence

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• Observational constraints on non-flat dynamical dark energy cosmological models
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• Modeling Transit Dark Energy in $f(R,L_m)$-gravity
• Evaluation of cosmological models in $f(R,T)$ gravity in different dark energy scenario
• Quintessence with a constant equation of state in hyperbolic universes
• A flat FRW model with dynamical $\Lambda$ as function of matter and geometry
• Quintessence and the Curvature of the Universe after WMAP
• Tilted non-spatially-flat inflation
• Spatially open Friedmann--Robertson--Walker Universe fueled with interacting sources
• Neutrinos as a probe of curvature