Exploring the Hubble Tension and Spatial Curvature from the Ages of Old Astrophysical Objects

Abstract

We use the age measurements of 114 old astrophysical objects (OAO) in the redshift range $0\lesssim z\lesssim 8$ to explore the Hubble tension. The age of the Universe at any $z$ is inversely proportional to the Hubble constant, $H_0$, so requiring the Universe to be older than the OAO it contains at any $z$ will lead to an upper limit on $H_0$. Assuming flat $\Lambda$CDM and setting a Gaussian prior on the matter density parameter ${\Omega }_{\mathrm{m}}=0.315\pm 0.007$ informed by {\it Planck}, we obtain a 95\% confidence-level upper limit of $H_0<70.6\mathrm{km}{\mathrm{s}}^{-1}{\mathrm{Mpc}}^{-1}$, representing a $2\sigma$ tension with the measurement using the local distance ladder. We find, however, that the inferred upper limit on $H_0$ depends quite sensitively on the prior for ${\Omega }_{\mathrm{m}}$, and the Hubble tension between early-time and local measurements of $H_0$ may be due in part to the inference of both ${\Omega }_{\mathrm{m}}$ and $H_0$ in {\it Planck}, while the local measurement uses only $H_0$. The age-redshift data may also be used for cosmological model comparisons. We find that the $R_{\mathrm{h}}=ct$ universe accounts well for the data, with a reasonable upper limit on $H_0$, while Einstein-de Sitter fails to pass the cosmic-age test. Finally, we present a model-independent estimate of the spatial curvature using the ages of 61 galaxies and the luminosity distances of 1,048 Pantheon Type Ia supernovae. This analysis suggests that the geometry of the Universe is marginally consistent with spatial flatness at a confidence level of $1.6\sigma$, characterized as ${\Omega }_k=0.43_{-0.27}^{+0.27}$.

arXiv comment13 pages, 6 figures, 2 tables. Accepted for publication in ApJ

References in corpus (109)

• emcee: The MCMC Hammer
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• CANDELS: The Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• A Catalog of Quasar Properties from SDSS DR7
• A luminous quasar at a redshift of z = 7.085
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Constraints on the redshift dependence of the dark energy potential
• Tensions between the Early and the Late Universe
• An 800-million-solar-mass black hole in a significantly neutral Universe at redshift 7.5
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Cosmic Distances Calibrated to 1% Precision with Gaia EDR3 Parallaxes and Hubble Space Telescope Photometry of 75 Milky Way Cepheids Confirm Tension with LambdaCDM
• Cosmological implications of baryon acoustic oscillation (BAO) measurements
• New physics in light of the $H_0$ tension: an alternative view
• Constraints on the equation of state of dark energy and the Hubble constant from stellar ages and the CMB
• A Luminous Quasar at Redshift 7.642
• The Cosmological Constant is Back
• On the Hubble constant tension in the SNe Ia Pantheon sample
• Pōniuā'ena: A Luminous $z=7.5$ Quasar Hosting a 1.5 Billion Solar Mass Black Hole
• An Open Universe from Inflation
• Physical properties of 15 quasars at $z\gtrsim 6.5$
• 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
• Correcting Type Ia Supernova Distances for Selection Biases and Contamination in Photometrically Identified Samples
• On the evolution of the Hubble constant with the SNe Ia Pantheon Sample and Baryon Acoustic Oscillations: a feasibility study for GRB-cosmology in 2030
• The R_h = ct Universe
• Eppur è piatto? The cosmic chronometer take on spatial curvature and cosmic concordance
• Why reducing the cosmic sound horizon alone can not fully resolve the Hubble tension
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• Consistency tests of $\Lambda$CDM from the early integrated Sachs-Wolfe effect: Implications for early-time new physics and the Hubble tension
• Gemini GNIRS near-infrared spectroscopy of 50 quasars at z>~5.7
• Does Hubble Tension Signal a Breakdown in FLRW Cosmology?
• General Cosmography Model with Spatial Curvature
• Discovery of the First Low-Luminosity Quasar at z > 7
• Dynamical Dark Energy or Simply Cosmic Curvature?
• Is there an early Universe solution to Hubble tension?
• The Cosmic Horizon
• Non-parametric spatial curvature inference using late-universe cosmological probes
• Model independent tests of the standard cosmological model
• New test of the FLRW metric using the distance sum rule
• The Discovery of A Luminous Broad Absorption Line Quasar at A Redshift of 7.02
• Subaru High-z Exploration of Low-Luminosity Quasars (SHELLQs). X. Discovery of 35 Quasars and Luminous Galaxies at 5.7 $\le$ z $\le$ 7.0
• Null test of the cosmic curvature using $H(z)$ and supernovae data
• Exploring Reionization-Era Quasars IV: Discovery of Six New $z\gtrsim 6.5$ Quasars with DES, VHS and unWISE Photometry
• Strongly lensed repeating Fast Radio Bursts as precision probes of the universe
• A More General Model for the Intrinsic Scatter in Type Ia Supernova Distance Moduli
• Probing for dynamics of dark energy and curvature of universe with latest cosmological observations
• Inferring the Age of the Universe with Globular Clusters
• Curvature vs Distances: testing the FLRW cosmology
• Hints of FLRW Breakdown from Supernovae
• Constraints on Dark Energy from Supernovae, Gamma Ray Bursts, Acoustic Oscillations, Nucleosynthesis and Large Scale Structure and the Hubble constant
• Using the tilted flat-$\Lambda$CDM and the untilted non-flat $\Lambda$CDM inflation models to measure cosmological parameters from a compilation of observational data
• Constraining the cosmic equation of state from old galaxies at high redshift
• The R_h=ct Universe Without Inflation
• 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 $H_0{r}_{\mathrm{d}}$
• New limits on ${\Omega }_{\Lambda }$ and ${\Omega }_M$ from old galaxies at high redshift
• The relative and absolute ages of old globular clusters in the LCDM framework
• Metric Tests for Curvature from Weak Lensing and Baryon Acoustic Oscillations
• Conditions for Optimal Growth of Black Hole Seeds
• Early-Universe-Physics Insensitive and Uncalibrated Cosmic Standards: Constraints on ${\Omega }_{\mathrm{m}}$ and Implications for the Hubble Tension
• Lookback time as a test for brane cosmology
• Model-independent determination of $H_0$ and ${\Omega }_{K0}$ from strong lensing and type Ia supernovae
• An old quasar in a young dark energy-dominated universe?
• Constraining cosmic curvature by using age of galaxies and gravitational lenses
• New Model-independent Method to Test the Curvature of the Universe
• The trouble beyond $H_0$ and the new cosmic triangles
• The local and distant Universe: stellar ages and $H_0$
• Constraining dark energy models using the lookback time to galaxy clusters and the age of the universe
• The distance sum rule from strong lensing systems and quasars - test of cosmic curvature and beyond
• Age of High Redshift Objects - a Litmus Test for the Dark Energy Models
• 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
• 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
• Cosmological model-independent constraints on spatial curvature from strong gravitational lensing and type Ia supernova observations
• Constraining cosmological parameters in FLRW metric with lensed GW+EM signals
• Testing the cosmic curvature at high redshifts: the combination of LSST strong lensing systems and quasars as new standard candles
• Uncertain Times: The Redshift-Time Relation from Cosmology and Stars
• Model-independent determination of curvature parameter by using $H(z)$ and $D_A(z)$ data pair from BAO measurement
• Cosmic Curvature Tested Directly from Observations
• Revisiting Studies of the Statistical Property of a Strong Gravitational Lens System and Model-independent Constraint on the Curvature of the Universe
• On the determination of curvature and dynamical Dark Energy
• Machine Learning the Cosmic Curvature in a Model-independent Way
• Age constraints on the cosmic equation of state
• Constraints on dark energy from the lookback time versus redshift test
• Cosmology-independent Estimate of the Hubble Constant and Spatial Curvature Using Time-delay Lenses and Quasars
• Strongly gravitational lensed SNe Ia as multi-messengers: Direct test of the Friedmann-Lema\^ıtre-Robertson-Walker metric
• Model-independent Distance Calibration and Curvature Measurement using Quasars and Cosmic Chronometers
• Model-independent Constraints on Cosmic Curvature and Opacity
• Model-independent curvature determination with 21cm intensity mapping experiments
• Test of the FLRW metric and curvature with strong lens time delays
• Curvature from strong gravitational lensing: a spatially closed Universe or systematics?
• Measurement on the cosmic curvature using the Gaussian process method
• Using spatial curvature with HII galaxies and cosmic chronometers to explore the tension in $H_0$
• Model-independent Estimations for the Cosmic Curvature from the Latest Strong Gravitational Lensing Systems
• Constraints on cosmic curvature with lensing time delays and gravitational waves
• Kinematic Constraints on Spatial Curvature from Supernovae Ia and Cosmic Chronometers
• Model-independent constraints on cosmic curvature: implication from the future gravitational wave observation DECIGO
• Time and distance constraints on accelerating cosmological models
• Direct Estimate of the Post-Newtonian Parameter and Cosmic Curvature from Galaxy-scale Strong Gravitational Lensing
• The Age-Redshift Relationship of Old Passive Galaxies
• Testing the cosmic conservation of photon number with type Ia supernovae and ages of old objects
• DECi-hertz Interferometer Gravitational-wave Observatory: Forecast constraints on the cosmic curvature with LSST strong lenses
• Current lookback time-redshift bounds on dark energy
• Model-independent determination of cosmic curvature based on Padé approximation
• Effects of the Hubble Parameter on the Cosmic Growth of the First Quasars
• Forecasting cosmological constraints from age of high-z galaxies

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• $H_0=69.8\pm 1.3$ $\mathrm{km}{\mathrm{s}}^{-1}\mathrm{Mp}{\mathrm{c}}^{-1}$, ${\Omega }_{m0}=0.288\pm 0.017$, and other constraints from lower-redshift, non-CMB, expansion-rate data
• Multidimensionality of the Hubble tension: the roles of ${\Omega }_m$ and ${\omega }_c$
• Gamma-ray burst data strongly favor the three-parameter fundamental plane (Dainotti) correlation relation over the two-parameter one
• Characterization of Population III Stars with Stellar Atmosphere and Evolutionary Modeling and Predictions of their Observability with the James Webb Space Telescope
• Standardizing reverberation-measured C IV time-lag quasars, and using them with standardized Mg II quasars to constrain cosmological parameters
• Quasar UV/X-ray relation luminosity distances are shorter than reverberation-measured radius-luminosity relation luminosity distances
• Current data are consistent with flat spatial hypersurfaces in the $\Lambda$CDM cosmological model but favor more lensing than the model predicts
• A note on Harada's Conformal Killing gravity
• Consistency study of high- and low-accreting Mg ii quasars: No significant effect of the Fe ii to Mg ii flux ratio on the radius-luminosity relation dispersion
• Null test for cosmic curvature using Gaussian process
• Gamma Rays Bursts: A Viable Cosmological Probe?
• What if the universe expands linearly? A local general relativity to solve the "zero active mass" problem
• Tilted non-spatially-flat inflation
• Constraints on the phase transition of Early Dark Energy with the CMB anisotropies
• Dark energy, spatial curvature, and star formation efficiency from JWST photometric and spectroscopic high-redshift galaxies