Uncertain Times: The Redshift-Time Relation from Cosmology and Stars

Abstract

Planck data provide precise constraints on cosmological parameters when assuming the base $\Lambda$CDM model, including a $0.17\%$ measurement of the age of the Universe, $t_0=13.797\pm 0.023\mathrm{Gyr}$. However, the persistence of the "Hubble tension" calls the base $\Lambda$CDM model's completeness into question and has spurred interest in models such as Early Dark Energy (EDE) that modify the assumed expansion history of the Universe. We investigate the effect of EDE on the redshift-time relation $z\leftrightarrow t$ and find that it differs from the base $\Lambda$CDM model by at least $\approx 4\%$ at all $t$ and $z$. As long as EDE remains observationally viable, any inferred $t\leftarrow z$ or $z\leftarrow t$ quoted to a higher level of precision do not reflect the current status of our understanding of cosmology. This uncertainty has important astrophysical implications: the reionization epoch - $10>z>6$ - corresponds to disjoint lookback time periods in the base $\Lambda$CDM and EDE models, and the EDE value of $t_0=13.25\pm 0.17\mathrm{Gyr}$ is in tension with published ages of some stars, star clusters, and ultra-faint dwarf galaxies. However, most published stellar ages do not include an uncertainty in accuracy (due to, e.g., uncertain distances and stellar physics) that is estimated to be $\sim 7-10\%$, potentially reconciling stellar ages with $t_{0,\mathrm{EDE}}$. We discuss how the big data era for stars is providing extremely precise ages ($<1\%$) and how improved distances and treatment of stellar physics such as convection could result in ages accurate to $4-5\%$, comparable to the current accuracy of $t\leftrightarrow z$. Such precise and accurate stellar ages can provide detailed insight into the high-redshift Universe independent of a cosmological model.

arXiv comment20 pages, 9 figures; MNRAS (accepted). V2: minor revisions and clarifications; conclusions unchanged

References in corpus (146)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• The Gaia mission
• PARSEC: stellar tracks and isochrones with the PAdova and TRieste Stellar Evolution Code
• The Transiting Exoplanet Survey Satellite
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• Dark Matter Substructure in Galactic Halos
• MESA Isochrones and Stellar Tracks (MIST). I: Solar-Scaled Models
• Where are the missing galactic satellites?
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Apache Point Observatory Galactic Evolution Experiment (APOGEE)
• Estimating distances from parallaxes IV: Distances to 1.33 billion stars in Gaia Data Release 2
• The Dartmouth Stellar Evolution Database
• The K2 Mission: Characterization and Early results
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• A 3D Dust Map Based on Gaia, Pan-STARRS 1 and 2MASS
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• A gravitational-wave standard siren measurement of the Hubble constant
• The Temperature of the Cosmic Microwave Background
• Tensions between the Early and the Late Universe
• Wide-Field InfrarRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA 2015 Report
• Early Dark Energy Can Resolve The Hubble Tension
• The Dark Energy Survey: more than dark energy - an overview
• Cosmology and Fundamental Physics with the Euclid Satellite
• Reionization and the abundance of galactic satellites
• The GALAH Survey: Scientific Motivation
• Using gravitational-wave standard sirens
• Cosmic Distances Calibrated to 1% Precision with Gaia EDR3 Parallaxes and Hubble Space Telescope Photometry of 75 Milky Way Cepheids Confirm Tension with LambdaCDM
• Relic neutrino decoupling including flavour oscillations
• Effect of Reionization on the Structure Formation in the Universe
• The Hubble Hunter's Guide
• The Atacama Cosmology Telescope: DR4 Maps and Cosmological Parameters
• The Ages of Stars
• The Faintest Dwarf Galaxies
• Massloss of galaxies due to a UV-background
• The Star Formation Histories of Local Group Dwarf Galaxies I. Hubble Space Telescope / Wide Field Planetary Camera 2 Observations
• The ACS Survey of Galactic Globular Clusters. VII. Relative Ages
• The Ages of 55 Globular Clusters as Determined Using an Improved delta V_TO^HB Method Along with Color-Magnitude Diagram Constraints, and Their Implications for Broader Issues
• Galactic Reddening in 3D from Stellar Photometry - An Improved Map
• The extreme r-element rich, iron-poor halo giant CS31082-001: Implications for the r-process site(s) and radioactive cosmochronology
• The ACS Survey of Galactic Globular Clusters. IX. Horizontal Branch Morphology and the Second Parameter Phenomenon
• Hydrodynamic Simulations of Galaxy Formation. II. Photoionization and the Formation of Low Mass Galaxies
• The Effects of Photoionization on Galaxy Formation - I: Model and Results at z=0
• CMB-S4 Science Case, Reference Design, and Project Plan
• Can Photoionization Squelching Resolve the Sub-structure Crisis?
• A $Gaia$ Data Release 2 catalogue of white dwarfs and a comparison with SDSS
• Calibration of the Tip of the Red Giant Branch (TRGB)
• SDSS DR7 White Dwarf Catalog
• Early dark energy, the Hubble-parameter tension, and the string axiverse
• Measurement of stellar age from uranium decay
• TDCOSMO IV: Hierarchical time-delay cosmography -- joint inference of the Hubble constant and galaxy density profiles
• The Megamaser Cosmology Project. XIII. Combined Hubble constant constraints
• Oscillating scalar fields and the Hubble tension: a resolution with novel signatures
• Parameter constraints for flat cosmologies from CMB and 2dFGRS power spectra
• The Evolution of the Intergalactic Medium
• Early Dark Energy Does Not Restore Cosmological Concordance
• The Quenching of the Ultra-Faint Dwarf Galaxies in the Reionization Era
• The Initial-Final Mass Relation: Direct Constraints at the Low Mass End
• Dwarf galaxies in voids: Suppressing star formation with photo-heating
• Cosmological implications of ultra-light axion-like fields
• Does the Hubble constant tension call for new physics?
• To H0 or not to H0?
• Measurements of the E-Mode Polarization and Temperature-E-Mode Correlation of the CMB from SPT-3G 2018 Data
• Dark Energy Survey Year 1 Results: A Precise H0 Measurement from DES Y1, BAO, and D/H Data
• Early dark energy from massive neutrinos -- a natural resolution of the Hubble tension
• Acoustic Dark Energy: Potential Conversion of the Hubble Tension
• The Optical-Infrared Extinction Curve and its Variation in the Milky Way
• CMB Observables and Their Cosmological Implications
• The initial-final mass relationship of white dwarfs revisited: effect on the luminosity function and mass distribution
• The E-MOSAICS Project: simulating the formation and co-evolution of galaxies and their star cluster populations
• Formation Histories of Dwarf Galaxies in the Local Group
• Toward Understanding CMB Anisotropies and Their Implications
• Pre-reionization Fossils, Ultra-faint Dwarfs and the Missing Galactic Satellite Problem
• Hubble Space Telescope Observations of Mira Variables in the Type Ia Supernova Host NGC 1559: An Alternative Candle to Measure the Hubble Constant
• Be it therefore resolved: Cosmological Simulations of Dwarf Galaxies with Extreme Resolution
• The White Dwarf Cooling Sequence of NGC6397
• Accuracy and precision of industrial stellar abundances
• The Star Formation Histories of Local Group Dwarf Galaxies II. Searching For Signatures of Reionization
• HD 140283: A Star in the Solar Neighborhood that Formed Shortly After the Big Bang
• The white dwarf cooling sequence in NGC 6791
• The influence of atomic diffusion on stellar ages and chemical tagging
• On the Measurement of Fundamental Parameters of White Dwarfs in the Gaia Era
• The formation and hierarchical assembly of globular cluster populations
• Core crystallization and pile-up in the cooling sequence of evolving white dwarfs
• Rock 'n' Roll Solutions to the Hubble Tension
• A combined analysis of the $H_0$ late time direct measurements and the impact on the Dark Energy sector
• Globular Cluster Formation and Evolution in the Context of Cosmological Galaxy Assembly: Open Questions
• A cooling anomaly of high-mass white dwarfs
• Early dark energy resolution to the Hubble tension in light of weak lensing surveys and lensing anomalies
• Star clusters near and far; tracing star formation across cosmic time
• A new measurement of the Hubble constant using Type Ia supernovae calibrated with surface brightness fluctuations
• The Correlation Between Mixing Length and Metallicity on the Giant Branch: Implications for Ages in the Gaia Era
• An Empirical Measurement of the Initial-Final Mass Relation with Gaia White Dwarfs
• An Age Difference of 2 Gyr between a Metal-Rich and a Metal-Poor Globular Cluster
• The Relative Ages of Galactic Globular Clusters
• A Lower Limit on the Age of the Universe
• Cosmicflows 4: The Calibration of Optical and Infrared Tully-Fisher Relations
• Using The Baryonic Tully-Fisher Relation to Measure $H_o$
• The Parallax of Omega Centauri Measured from Gaia EDR3 and a Direct, Geometric Calibration of the Tip of the Red Giant Branch and the Hubble Constant
• A new perspective on globular clusters, their initial mass function, and their contribution to the stellar halo and to cosmic reionisation
• The Age of the Universe and the Cosmological Constant Determined from Cosmic Microwave Background Anisotropy Measurements
• The Global History of Reionisation
• Beyond Mixing-length Theory: a step toward 321D
• The End of the White Dwarf Cooling Sequence in M4: an efficient approach
• Comparison of theoretical white dwarf cooling timescales
• Gravitational Settling of 22Ne in Liquid White Dwarf Interiors
• Self-Consistent Modeling of Reionization in Cosmological Hydrodynamical Simulations
• The Hamburg/ESO R-process Enhanced Star survey (HERES) XI. The highly $r$-process-enhanced star CS 29497-004
• On the Estimation of Systematic Uncertainties of Star Formation Histories
• Calibrating Convective properties of Solar-like Stars in the Kepler Field of View
• The Mass Mixing Length in Convective Stellar Envelopes
• Evidence for GN-z11 as a luminous galaxy at redshift 10.957
• Three Ancient Halo Subgiants: Precise Parallaxes, Compositions, Ages, and Implications for Globular Clusters
• Did Globular Clusters Reionize the Universe?
• Absolute Ages of Globular Clusters and the Age of the Universe
• Clustering and Halo Abundances in Early Dark Energy Cosmological Models
• A Search for Point Sources of EeV Neutrons
• RAVE J203843.2-002333: The first highly r-process-enhanced star identified in the RAVE survey
• The Globular Cluster - Dark Matter Halo Connection
• Finding Forming Globular Clusters at High Redshifts
• Multi-Gigayear White Dwarf Cooling Delays from Clustering-Enhanced Gravitational Sedimentation
• The Suppression of Star Formation on the Smallest Scales: What Role Does Environment Play?
• Standard Galactic Field RR Lyrae II: A Gaia DR2 calibration of the period-Wesenheit-metallicity relation
• The Little Engines That Could? Globular Clusters Contribute Significantly to Reionization-era Star Formation
• Absolute Ages and Distances of 22 GCs using Monte Carlo Main-Sequence Fitting
• Distances to the globular clusters 47 Tucanae and NGC 362 using Gaia DR2 parallaxes
• Clues on the Missing Sources of Reionization from Self-consistent Modeling of Milky Way and Dwarf Galaxy Globular Clusters
• An observer's guide to the (Local Group) dwarf galaxies: predictions for their own dwarf satellite populations
• The Hubble Space Telescope UV Legacy Survey of Galactic Globular Clusters. IV. Helium content and relative age of multiple stellar populations within NGC 6352
• Cosmic Reionization After Planck and Before JWST: An Analytic Approach
• Toward Precision Cosmochronology: A New C/O Phase Diagram for White Dwarfs
• An Ultra Metal-poor Star Near the Hydrogen-burning Limit
• Precise Ages of Field Stars from White Dwarf Companions
• Investigating the Hubble Constant Tension -- Two Numbers in the Standard Cosmological Model
• The Gaia DR2 halo white dwarf population: the luminosity function, mass distribution and its star formation history
• A comparative analysis of the observed white dwarf cooling sequence from globular clusters
• Extensions to the halo occupation distribution model for more accurate clustering predictions
• 2MASS J18082002-5104378: The brightest (V=11.9) ultra metal-poor star
• A High-Precision Trigonometric Parallax to an Ancient Metal-Poor Globular Cluster
• 11-12 Gyr old White Dwarfs 30 parsecs Away
• Testing Metal Poor Stellar Models and Isochrones with HST Parallaxes of Metal Poor Stars
• Globular Clusters at High Redshift
• Quantifying the CMB Degeneracy Between the Matter Density and Hubble Constant in Current Experiments
• The ages of (the oldest) stars
• Precise Diffusion Coefficients for White Dwarf Astrophysics
• The Age of the Universe

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• Stress Testing $\Lambda$CDM with High-redshift Galaxy Candidates
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Current challenges in the physics of white dwarf stars
• The Atacama Cosmology Telescope: Constraints on Pre-Recombination Early Dark Energy
• Dark Energy at early times and ACT: a larger Hubble constant without late-time priors
• Implications for the Hubble tension from the ages of the oldest astrophysical objects
• Early-Universe-Physics Insensitive and Uncalibrated Cosmic Standards: Constraints on ${\Omega }_{\mathrm{m}}$ and Implications for the Hubble Tension
• Updated constraints from the effective field theory analysis of BOSS power spectrum on Early Dark Energy
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• Testing AdS early dark energy with Planck, SPTpol and LSS data
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• Cosmological constraints on ${\Lambda }_{\mathrm{s}}$CDM scenario in a type II minimally modified gravity
• Metallicity Distribution Functions of 13 Ultra-Faint Dwarf Galaxy Candidates from Hubble Space Telescope Narrowband Imaging
• Exploring the Hubble Tension and Spatial Curvature from the Ages of Old Astrophysical Objects
• Questioning the $H_0$ tension via the look-back time
• Resonant neutrino self-interactions and the $H_0$ tension
• A critical discussion on the $H_0$ tension
• On the Reionization-Era Globular Cluster in Low-Mass Galaxy Eridanus II
• Unveiling the Universe with Emerging Cosmological Probes
• The oldest Milky Way stars: New constraints on the age of the Universe and the Hubble constant
• Toward Cosmological Standard Timers in Primordial Black Hole Binaries
• Towards solar measurements of nuclear reaction rates
• The Cosmic Rush Hour: Rapid Formation of Bright, Massive, Disky, Star-Forming Galaxies as Signatures of Early-Universe Physics
• Testing the CCC+TL cosmology with cosmic-chronometer measurements of the Hubble parameter