New Model-independent Method to Test the Curvature of the Universe

Abstract

We propose a new model-independent method to test the cosmic curvature by comparing the proper distance and transverse comoving distance. Using the measurements of Hubble parameter $H(z)$ and angular diameter distance $d_A$, the cosmic curvature parameter ${\Omega }_K$ is constrained to be $-0.09\pm 0.19$, which is consistent with a flat universe. We also use Monte Carlo simulation to test the validity and efficiency, and find that our method can give a reliable and efficient constraint on cosmic curvature. Compared with other model-independent methods testing the cosmic curvature, our method can avoid some drawbacks and give a better constraint.

22 pages, 8 figures, 3 tables, match the published version

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Cited by in corpus (66)

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• Is the Observable Universe Consistent with the Cosmological Principle?
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• Observational constraints on the tilted spatially-flat and the untilted nonflat $\varphi$CDM dynamical dark energy inflation models
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• Planck 2015 constraints on the non-flat $\Lambda$CDM inflation model
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• Measuring the Hubble constant and spatial curvature from supernova apparent magnitude, baryon acoustic oscillation, and Hubble parameter data
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• Using SPTpol, Planck 2015, and non-CMB data to constrain tilted spatially-flat and untilted non-flat $\Lambda$CDM, XCDM, and $\varphi$CDM dark energy inflation cosmologies
• Planck 2015 constraints on the non-flat $\varphi$CDM inflation model
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• Model-independent Curvature Determination from Gravitational-Wave Standard Sirens and Cosmic Chronometers
• Observational constraints on the tilted flat-XCDM and the untilted nonflat XCDM dynamical dark energy inflation parameterizations
• Measurements of the Hubble constant and cosmic curvature with quasars: ultra-compact radio structure and strong gravitational lensing
• Model-independent estimations for the curvature from standard candles and clocks
• Planck 2015 constraints on the non-flat XCDM inflation model
• Inflation in a closed universe
• Cosmological constraints from higher-redshift gamma-ray burst, HII starburst galaxy, and quasar (and other) data
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• Model-independent measurement of cosmic curvature with the latest $H(z)$ and SNe Ia data: A comprehensive investigation
• A New Method to Measure Hubble Parameter $H(z)$ using Fast Radio Bursts
• Testing the Etherington's distance duality relation at higher redshifts: the combination of radio quasars and gravitational waves
• Calibrating Gamma-Ray Bursts by Using a Gaussian Process with Type Ia Supernovae
• Model-independent constraints on Lorentz invariance violation: implication from updated Gamma-ray burst observations
• CMB distance priors revisited: effects of dark energy dynamics, spatial curvature, primordial power spectrum, and neutrino parameters
• Revisiting the cosmic distance duality relation with machine learning reconstruction methods: the combination of HII galaxies and ultra-compact radio quasars
• Model-independent Constraints on Cosmic Curvature and Opacity
• Model-independent Distance Calibration and Curvature Measurement using Quasars and Cosmic Chronometers
• Model-independent curvature determination with 21cm intensity mapping experiments
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• Exploring the Hubble Tension and Spatial Curvature from the Ages of Old Astrophysical Objects
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• Using spatial curvature with HII galaxies and cosmic chronometers to explore the tension in $H_0$
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• Kinematic Constraints on Spatial Curvature from Supernovae Ia and Cosmic Chronometers
• Null test for cosmic curvature using Gaussian process
• Model-independent constraints on cosmic curvature: implication from the future gravitational wave observation DECIGO
• Backreaction and FRW consistency conditions
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• Constraints on Cosmological Models from Quasars Calibrated with Type Ia Supernova by a Gaussian Process
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• Gaussian Processes, Median Statistics, Milky Way Rotation Curves
• Cosmic curvature on large-scale structures with homogeneous dark energy
• Considering light-matter interactions in the Friedmann equations
• Geometrical constraints on curvature from galaxy-lensing cross-correlations