Observational Constraints on the Tilted Spatially Flat and the Untilted Nonflat $$\phi$$CDM Dynamical Dark Energy Inflation Models
Abstract
Herein we constrain spatially flat tilted and nonflat untilted scalar field ($$\phi$$) dynamical dark energy inflation ($$\phi$$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 $$V(\phi )={V}_{0}{\phi }^{-\alpha }$$. 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 $$\phi$$CDM case from 1.8$$σ$$ for the CMB measurements only to more than 3.1$$σ$$ for the combined data. In the nonflat untilted $$\phi$$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 $$\phi$$CDM model is a 0.4$$σ$$ better fit to the data than is the standard flat tilted $$Λ$$CDM model: current data allow for the possibility that dark energy is dynamical. The nonflat tilted $$\phi$$CDM model is in better accord with the Dark Energy Survey bounds on the rms amplitude of mass fluctuations now ($$σ_8$$) as a function of the nonrelativistic matter density parameter now ($$Ω_m$$) but it does not provide as good a fit to the larger-multipole Planck 2015 CMB anisotropy data as does the standard flat tilted $$Λ$$CDM model. A few cosmological parameter value measurements differ significantly when determined using the tilted flat and the untilted nonflat $$\phi$$CDM models, including the cold dark matter density parameter and the reionization optical depth.
- Authors:
-
- Chonbuk National Univ., Jeonju (Republic of Korea); Kansas State Univ., Manhattan, KS (United States)
- Kansas State Univ., Manhattan, KS (United States)
- Publication Date:
- Research Org.:
- Kansas State Univ., Manhattan, KS (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Research Foundation of Korea (NRF)
- OSTI Identifier:
- 1613082
- Alternate Identifier(s):
- OSTI ID: 1642537
- Grant/Contract Number:
- SC0019038
- Resource Type:
- Accepted Manuscript
- Journal Name:
- The Astrophysical Journal (Online)
- Additional Journal Information:
- Journal Name: The Astrophysical Journal (Online); Journal Volume: 868; Journal Issue: 2; Journal ID: ISSN 1538-4357
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; astronomy & astrophysics; cosmic background radiation; cosmological parameters; inflation; large-scale structure of universe; methods: statistical
Citation Formats
Park, Chan-Gyung, and Ratra, Bharat. Observational Constraints on the Tilted Spatially Flat and the Untilted Nonflat $\phi$CDM Dynamical Dark Energy Inflation Models. United States: N. p., 2018.
Web. doi:10.3847/1538-4357/aae82d.
Park, Chan-Gyung, & Ratra, Bharat. Observational Constraints on the Tilted Spatially Flat and the Untilted Nonflat $\phi$CDM Dynamical Dark Energy Inflation Models. United States. https://doi.org/10.3847/1538-4357/aae82d
Park, Chan-Gyung, and Ratra, Bharat. Mon .
"Observational Constraints on the Tilted Spatially Flat and the Untilted Nonflat $\phi$CDM Dynamical Dark Energy Inflation Models". United States. https://doi.org/10.3847/1538-4357/aae82d. https://www.osti.gov/servlets/purl/1613082.
@article{osti_1613082,
title = {Observational Constraints on the Tilted Spatially Flat and the Untilted Nonflat $\phi$CDM Dynamical Dark Energy Inflation Models},
author = {Park, Chan-Gyung and Ratra, Bharat},
abstractNote = {Herein we constrain spatially flat tilted and nonflat untilted scalar field ($\phi$) dynamical dark energy inflation ($\phi$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 $V(\phi )={V}_{0}{\phi }^{-\alpha }$. 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 $\phi$CDM case from 1.8$σ$ for the CMB measurements only to more than 3.1$σ$ for the combined data. In the nonflat untilted $\phi$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 $\phi$CDM model is a 0.4$σ$ better fit to the data than is the standard flat tilted $Λ$CDM model: current data allow for the possibility that dark energy is dynamical. The nonflat tilted $\phi$CDM model is in better accord with the Dark Energy Survey bounds on the rms amplitude of mass fluctuations now ($σ_8$) as a function of the nonrelativistic matter density parameter now ($Ω_m$) but it does not provide as good a fit to the larger-multipole Planck 2015 CMB anisotropy data as does the standard flat tilted $Λ$CDM model. A few cosmological parameter value measurements differ significantly when determined using the tilted flat and the untilted nonflat $\phi$CDM models, including the cold dark matter density parameter and the reionization optical depth.},
doi = {10.3847/1538-4357/aae82d},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 868,
place = {United States},
year = {Mon Nov 26 00:00:00 EST 2018},
month = {Mon Nov 26 00:00:00 EST 2018}
}
Web of Science
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- Monthly Notices of the Royal Astronomical Society, Vol. 492, Issue 3
Planck 2015 Constraints on the Non-flat XCDM Inflation Model
journal, December 2018
- Ooba, Junpei; Ratra, Bharat; Sugiyama, Naoshi
- The Astrophysical Journal, Vol. 869, Issue 1
Effect of the spatial curvature of the Universe on the form of the gravitational potential
journal, August 2019
- Eingorn, Maxim; Yükselci, A. Emrah; Zhuk, Alexander
- The European Physical Journal C, Vol. 79, Issue 8
Planck 2015 constraints on spatially-flat dynamical dark energy models
journal, October 2019
- Ooba, Junpei; Ratra, Bharat; Sugiyama, Naoshi
- Astrophysics and Space Science, Vol. 364, Issue 10
First study of reionization in tilted flat and untilted non-flat dynamical dark energy inflation models
journal, June 2019
- Mitra, Sourav; Park, Chan-Gyung; Choudhury, Tirthankar Roy
- Monthly Notices of the Royal Astronomical Society, Vol. 487, Issue 4
Planck 2015 constraints on the non-flat XCDM inflation model
text, January 2017
- Ooba, Junpei; Ratra, Bharat; Sugiyama, Naoshi
- arXiv
Observational constraints on the tilted flat-XCDM and the untilted nonflat XCDM dynamical dark energy inflation parameterizations
text, January 2018
- Park, Chan-Gyung; Ratra, Bharat
- arXiv
Flatness without CMB - the Entanglement of Spatial Curvature and Dark Energy Equation of State
text, January 2018
- Xu, Haoting; Huang, Zhiqi; Liu, Zhenjie
- arXiv
Quasar X-ray and UV flux, baryon acoustic oscillation, and Hubble parameter measurement constraints on cosmological model parameters
text, January 2019
- Khadka, Narayan; Ratra, Bharat
- arXiv