Model-independent constraints on cosmic curvature: implication from updated Hubble diagram of high-redshift standard candles

Abstract

The cosmic curvature (${\Omega }_k$) is a fundamental parameter for cosmology. In this paper, we propose an improved model-independent method to constrain the cosmic curvature, which is geometrically related to the Hubble parameter $H(z)$ and luminosity distance $D_L(z)$. Using the currently largest $H(z)$ sample from the well-known cosmic chronometers, as well as the luminosity distance $D_L(z)$ from the relation between the UV and X-ray luminosities of 1598 quasars and the newly-compiled Pantheon sample including 1048 SNe Ia, 31 independent measurements of the cosmic curvature ${\Omega }_k(z)$ can be expected covering the redshift range of $0.07<z<2$. Our estimation of ${\Omega }_k(z)$ is fully compatible with flat Universe at the current level of observational precision. Meanwhile, we find that, for the Hubble diagram of 1598 quasars as a new type of standard candle, the spatial curvature is constrained to be ${\Omega }_k=0.08\pm 0.31$. For the latest Pantheon sample of SNe Ia observations, we obtain ${\Omega }_k=-0.02\pm 0.14$. Compared to other approaches aiming for model-independent estimations of spatial curvature, our analysis also achieves constraints with competitive precision. More interestingly, it is suggested that the reconstructed curvature ${\Omega }_k$ is negative in the high redshift region, which is also consistent with the results from the model-dependent constraints in the literature. Such findings are confirmed by our reconstructed evolution of ${\Omega }_k(z)$, in the framework of a model-independent method of Gaussian processes (GP) without assuming a specific form.

arXiv comment8 pages, 8 figures, accepted for publication in ApJ

References in corpus (68)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• emcee: The MCMC Hammer
• Planck 2015 results. XIII. Cosmological parameters
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• A Catalog of Quasar Properties from SDSS DR7
• A luminous quasar at a redshift of z = 7.085
• An 800-million-solar-mass black hole in a significantly neutral Universe at redshift 7.5
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Coherent structures in wall-bounded turbulence
• The Sloan Digital Sky Survey Quasar Catalog: twelfth data release
• Reconstruction of dark energy and expansion dynamics using Gaussian processes
• The XMM-Newton serendipitous survey. VII. The third XMM-Newton serendipitous source catalogue
• Cosmological Constraints from Measurements of Type Ia Supernovae discovered during the first 1.5 years of the Pan-STARRS1 Survey
• Gaussian Process Cosmography
• Correcting Type Ia Supernova Distances for Selection Biases and Contamination in Photometrically Identified Samples
• A general test of the Copernican Principle
• Type Ia Supernova Distances at z > 1.5 from the Hubble Space Telescope Multi-Cycle Treasury Programs: The Early Expansion Rate
• A Hubble Diagram for Quasars
• The tight relation between X-ray and ultraviolet luminosity of quasars
• The Clustering of Galaxies in the SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Testing Deviations from $\Lambda$ and General Relativity using anisotropic clustering of galaxies
• Measuring D_A and H at z=0.35 from the SDSS DR7 LRGs using baryon acoustic oscillations
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• Type Ia Supernova Rate Measurements to Redshift 2.5 from CANDELS : Searching for Prompt Explosions in the Early Universe
• Type-Ia Supernova Rates to Redshift 2.4 from CLASH: the Cluster Lensing And Supernova survey with Hubble
• Systematic Uncertainties Associated with the Cosmological Analysis of the First Pan-STARRS1 Type Ia Supernova Sample
• Dynamical Dark Energy or Simply Cosmic Curvature?
• Quasars as standard candles I: The physical relation between disc and coronal emission
• Constraints on cosmological models from strong gravitational lensing systems
• Model independent tests of the standard cosmological model
• New test of the FLRW metric using the distance sum rule
• Null test of the cosmic curvature using $H(z)$ and supernovae data
• Ultra-compact structure in intermediate-luminosity radio quasars: building a sample of standard cosmological rulers and improving the dark energy constraints up to $z\sim 3$
• Curvature vs Distances: testing the FLRW cosmology
• Measuring the speed of light with ultra-compact radio quasars
• An Improved Method to Measure the Cosmic Curvature
• Model-independent test of the FLRW metric, the flatness of the Universe, and non-local measurement of $H_0{r}_{\mathrm{d}}$
• Geometrical Constraint on Curvature with BAO experiments
• Constraining cosmic curvature by using age of galaxies and gravitational lenses
• Falsifying $\Lambda$CDM: Model-independent tests of the concordance model with eBOSS DR14Q and Pantheon
• The distance sum rule from strong lensing systems and quasars - test of cosmic curvature and beyond
• Model-independent estimations for the curvature from standard candles and clocks
• Implication of Dark Energy Parametrizations on the Determination of the Curvature of the Universe
• Constraints on cosmological models from lens redshift data
• Cosmic Curvature Tested Directly from Observations
• Testing the speed of light over cosmological distances: the combination of strongly lensed and unlensed supernova Ia
• Multiple measurements of quasars acing as standard probes: exploring the cosmic distance duality relation at higher redshift
• On the determination of curvature and dynamical Dark Energy
• What is parameterized $Om(z)$ diagnostics telling us in light of recent observations?
• Testing the Etherington's distance duality relation at higher redshifts: the combination of radio quasars and gravitational waves
• HI-to-H2 Transition Layers in the Star-Forming Region W43
• Model-independent Constraints on Cosmic Curvature and Opacity
• Exploring the properties of milliarcsecond radio sources
• Cosmic opacity: cosmological-model-independent tests from gravitational waves and Type Ia Supernova
• Implications from simulated strong gravitational lensing systems: constraining cosmological parameters using Gaussian Processes
• Cosmology with AGN: can we use quasars as standard candles?
• Exploring the "$L$--$\sigma$" relation of HII galaxies and giant extragalactic HII regions acting as standard candles
• Implications of the lens redshift distribution of strong lensing systems: cosmological parameters and the global properties of early-type galaxies
• Testing cosmic opacity with the combination of strongly lensed and unlensed supernova Ia

Cited by in corpus (27)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Eppur è piatto? The cosmic chronometer take on spatial curvature and cosmic concordance
• Non-parametric spatial curvature inference using late-universe cosmological probes
• The galaxy power spectrum take on spatial curvature and cosmic concordance
• Please repeat: Strong lensing of gravitational waves as a probe of compact binary and galaxy populations
• Cosmology Intertwined IV: The Age of the Universe and its Curvature
• Cosmic chronometers to calibrate the ladders and measure the curvature of the Universe. A model-independent study
• Measurements of the Hubble constant and cosmic curvature with quasars: ultra-compact radio structure and strong gravitational lensing
• Hubble diagram at higher redshifts: Model independent calibration of quasars
• Probing modified gravity theories with multiple measurements of high-redshift quasars
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Cosmic expansion parametrization: Implication for curvature and ${\text{H}}_0$ tension
• Constraining the curvature density parameter in cosmology
• Model independent bounds on Type Ia supernova absolute peak magnitude
• Physical vs phantom dark energy after DESI: thawing quintessence in a curved background
• Revisiting the Hubble constant, spatial curvature and cosmography with time-delay and cosmic chronometer observations
• Testing f(R) gravity with the simulated data of gravitational waves from the Einstein Telescope
• Revisiting Chaplygin gas cosmologies with the recent observations of high-redshfit quasars
• Gravitational-wave constraints on the cosmic opacity at $z\sim 5$: forecast from space gravitational-wave antenna DECIGO
• Multiple measurements of gravitational waves acting as standard probes: model-independent constraints on the cosmic curvature with DECIGO
• Measuring the speed of light with updated Hubble diagram of high-redshift standard candles
• Analytical Gaussian Process Cosmography: Unveiling Insights into Matter-Energy Density Parameter at Present
• Minimal model dependent constraints on cosmological nuisance parameters and cosmic curvature from combinations of cosmological data
• Revisiting Friedmann-like cosmology with torsion: newest constraints from high-redshift observations
• A new way to test the WIMP dark matter models
• Cosmic curvature on large-scale structures with homogeneous dark energy
• High precision measurement of cosmic curvature: from gravitational waves and cosmic chronometer