Observational constraints on the tilted spatially-flat and the untilted nonflat $\varphi$CDM dynamical dark energy inflation models

Abstract

We constrain spatially-flat tilted and nonflat untilted scalar field ($\varphi$) dynamical dark energy inflation ($\varphi$CDM) models by using Planck 2015 cosmic microwave background (CMB) anisotropy measurements and recent baryonic acoustic oscillation distance observations, Type Ia supernovae apparent magnitude data, Hubble parameter measurements, and growth rate data. We assume an inverse power-law scalar field potential energy density $V(\varphi )=V_0{\varphi }^{-\alpha }$. We find that the combination of the CMB data with the four non-CMB data sets significantly improves parameter constraints and strengthens the evidence for nonflatness in the nonflat untilted $\varphi$CDM case from $1.8\sigma$ for the CMB measurements only to more than $3.1\sigma$ for the combined data. In the nonflat untilted $\varphi$CDM model current observations favor a spatially closed universe with spatial curvature contributing about two-thirds of a percent of the present cosmological energy budget. The flat tilted $\varphi$CDM model is a 0.4$\sigma$ better fit to the data than is the standard flat tilted $\Lambda$CDM model: current data allow for the possibility that dark energy is dynamical. The nonflat tilted $\varphi$CDM model is in better accord with the Dark Energy Survey bounds on the rms amplitude of mass fluctuations now (${\sigma }_8$) as a function of the nonrelativistic matter density parameter now (${\Omega }_m$) but it does not provide as good a fit to the larger-multipole Planck 2015 CMB anisotropy data as does the standard flat tilted $\Lambda$CDM model. A few cosmological parameter value measurements differ significantly when determined using the tilted flat and the untilted nonflat $\varphi$CDM models, including the cold dark matter density parameter and the reionization optical depth.

22 pages, 14 figures, 5 tables. Accepted for publication in ApJ

References in corpus (38)

• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• New Parallaxes of Galactic Cepheids from Spatially Scanning the Hubble Space Telescope: Implications for the Hubble Constant
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• Model independent evidence for dark energy evolution from Baryon Acoustic Oscillations
• Dark Energy Survey Year 1 Results: A Precise H0 Measurement from DES Y1, BAO, and D/H Data
• $H_0$ from cosmic chronometers and Type Ia supernovae, with Gaussian Processes and the novel Weighted Polynomial Regression method
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles
• An improved model-independent assessment of the late-time cosmic expansion
• A blinded determination of $H_0$ from low-redshift Type Ia supernovae, calibrated by Cepheid variables
• Should Type Ia Supernova Distances be Corrected for their Local Environments?
• How well do we understand cosmological recombination?
• Constraints on dark energy dynamics and spatial curvature from Hubble parameter and baryon acoustic oscillation data
• Density perturbations for running vacuum: a successful approach to structure formation and to the ${\sigma }_8$-tension
• The Beginning and Evolution of the Universe
• An independent determination of the local Hubble constant
• Is there evidence for dark energy evolution?
• Dynamical dark energy: scalar fields and running vacuum
• Cosmological discordances II: Hubble constant, Planck and large-scale-structure data sets
• Constraining cosmic curvature by using age of galaxies and gravitational lenses
• A Comparison of Cosmological Parameters Determined from CMB Temperature Power Spectra from the South Pole Telescope and the Planck Satellite
• Relaxing the ${\sigma }_8$-tension through running vacuum in the Universe
• Planck 2015 constraints on the non-flat $\varphi$CDM inflation model
• Environmental Dependence of Type Ia Supernova Luminosities from a Sample without a Local-Global Difference in Host Star Formation
• Model-independent estimations for the curvature from standard candles and clocks
• Inflation in a closed universe
• Is there a concordance value for $H_0$?
• A measurement of the Hubble constant using galaxy redshift surveys
• Model independent constraints on transition redshift
• Cosmological model-independent test of $\Lambda$CDM with two-point diagnostic by the observational Hubble parameter data
• First study of reionization in the Planck 2015 normalized closed $\Lambda$CDM inflation model
• Isotropic vs. Anisotropic components of BAO data: a tool for model selection
• Observational constraints on quintessence models of dark energy
• Median Statistics Analysis of Deuterium Abundance Measurements and Spatial Curvature Constraints
• Cosmological constraints from low-redshift data
• A More Accurate and Competitive Estimative of $H_0$ in Intermediate Redshifts
• Observational effects of the early episodically dominating dark energy

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