Measurement on the cosmic curvature using the Gaussian process method

Abstract

Inflation predicts that the Universe is spatially flat. The Planck 2018 measurements of the cosmic microwave background anisotropy favour a spatially closed universe at more than 2$\sigma$ confidence level. We use model independent methods to study the issue of cosmic curvature. The method reconstructs the Hubble parameter $H(z)$ from cosmic chronometers data with the Gaussian process method. The distance modulus is then calculated with the reconstructed function $H(z)$ and fitted by type Ia supernovae data. Combining the cosmic chronometers and type Ia supernovae data, we obtain ${\Omega }_{k0}{h}^2=0.102\pm 0.066$ which is consistent with a spatially flat universe at the 2$\sigma$ confidence level. By adding the redshift space distortions data to the type Ia supernovae data with a proposed novel model independent method, we obtain ${\Omega }_{k0}{h}^2=0.117_{-0.045}^{+0.058}$ and no deviation from $\Lambda$CDM model is found.

6 figures, 1 table, MNRAS in press

References in corpus (16)

• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• CfA3: 185 Type Ia Supernova Light Curves from the CfA
• A general test of the Copernican Principle
• Dynamical Dark Energy or Simply Cosmic Curvature?
• Constraining cosmic curvature by using age of galaxies and gravitational lenses
• Growth factor parametrization in curved space
• Testing the cosmic curvature at high redshifts: the combination of LSST strong lensing systems and quasars as new standard candles
• Model-independent determination of curvature parameter by using $H(z)$ and $D_A(z)$ data pair from BAO measurement
• Machine Learning the Cosmic Curvature in a Model-independent Way
• Model-independent Constraints on Cosmic Curvature and Opacity
• Model-independent Distance Calibration and Curvature Measurement using Quasars and Cosmic Chronometers
• Dark energy and cosmic curvature: Monte-Carlo Markov Chain approach
• Current cosmological constraints on the curvature, dark energy and modified gravity
• Model-independent determination of cosmic curvature based on Padé approximation

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• Model-independent constraints on ${\Omega }_m$ and $H(z)$ from the link between geometry and growth
• Constraining the curvature density parameter in cosmology
• Exploring the Hubble Tension and Spatial Curvature from the Ages of Old Astrophysical Objects
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• High precision measurement of cosmic curvature: from gravitational waves and cosmic chronometer
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