Testing cosmic anisotropy with Pade approximation and Pantheon+ sample

Abstract

Cosmography can be used to constrain the kinematics of universe in a model-independent way. In this work, we attempted to combine the Pad$\acute{\mathrm{e}}$ approximations with the latest Pantheon+ sample for testing cosmological principle. Based on the Pad$\acute{\mathrm{e}}$ approximations, we first gave the cosmographic constraints on the different order polynomials including third-order (Pad$\acute{\mathrm{e}}$${}_{(2,1)}$), fourth-order (Pad$\acute{\mathrm{e}}$${}_{(2,2)}$) and fifth-order (Pad$\acute{\mathrm{e}}$${}_{(3,2)}$). Based on the Pad$\acute{\mathrm{e}}$${}_{(2,1)}$ ($j_0$ = 1) polynomial and hemisphere comparison (HC) method, we tested the cosmological principle and found the preferred directions of cosmic anisotropy, such as (l, b) = (304.6${}^{\circ }$${}_{-37.4}^{+51.4}$, $-$18.7${}^{\circ }$${}_{-20.3}^{+14.7}$) and (311.1${}^{\circ }$${}_{-8.4}^{+17.4}$, $-$17.53${}^{\circ }$${}_{-7.7}^{+7.8}$) for $q_0$ and $H_0$, respectively. These two directions are consistent with each other in $1\sigma$ confidence level, but the corresponding results of statistical isotropy analyses including Isotropy and Isotropy with real positions (RP) are quite different. The statistical significance of $H_0$ are stronger than that of $q_0$, i.e., 4.75$\sigma$ and 4.39$\sigma$ for the Isotropy and Isotropy with RP respectively. Reanalysis with fixed $q_0=-0.55$ (corresponds to ${\Omega }_m$ = 0.30) gives similar results. Overall, our model-independent results provide clear indications for a possible cosmic anisotropy, which must be taken seriously. Further test is needed to better understand this signal.

11 pages, 12 figures, 3 tables. Accepted for publication in A&A, the abstract appearing here is slightly shorter than that in the PDF file

References in corpus (104)

• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The Cosmological Constant
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• The Pantheon+ Analysis: Cosmological Constraints
• H0LiCOW XIII. A 2.4% measurement of $H_0$ from lensed quasars: $5.3\sigma$ tension between early and late-Universe probes
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Challenges for $\Lambda$CDM: An update
• Jerk, snap, and the cosmological equation of state
• On the Hubble constant tension in the SNe Ia Pantheon sample
• Extended Gravity Cosmography
• Testing the cosmological principle of isotropy: local power spectrum estimates of the WMAP data
• 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
• Cosmic flows in the nearby universe from Type Ia Supernovae
• Is the Observable Universe Consistent with the Cosmological Principle?
• TDCOSMO. I. An exploration of systematic uncertainties in the inference of $H_0$ from time-delay cosmography
• Cosmographic analysis of the equation of state of the universe through Padé approximations
• The R_h = ct Universe
• The Data Release of the Sloan Digital Sky Survey-II Supernova Survey
• Evidence for anisotropy of cosmic acceleration
• A new measurement of the bulk flow of X-ray luminous clusters of galaxies
• Probing cosmic isotropy with a new X-ray galaxy cluster sample through the $L_{\text{X}}-T$ scaling relation
• On the theory and applications of modern cosmography
• High-redshift cosmography: auxiliary variables versus Padé polynomials
• Is there an early Universe solution to Hubble tension?
• Model independent constraints on dark energy evolution from low-redshift observations
• Searching for a Cosmological Preferred Axis: Union2 Data Analysis and Comparison with Other Probes
• (An)isotropy of the Hubble diagram: comparing hemispheres
• Tension with the flat ΛCDM model from a high redshift Hubble Diagram of supernovae, quasars and gamma-ray bursts
• Cosmographic analysis with Chebyshev polynomials
• Cosmological implications of the anisotropy of ten galaxy cluster scaling relations
• The Pantheon+ Analysis: Improving the Redshifts and Peculiar Velocities of Type Ia Supernovae Used in Cosmological Analyses
• Analyzing the Large-Scale Bulk Flow using CosmicFlows4: Increasing Tension with the Standard Cosmological Model
• Hints of FLRW Breakdown from Supernovae
• Cosmography and flat $\Lambda$CDM tensions at high redshift
• Cosmology with gamma-ray bursts: II Cosmography challenges and cosmological scenarios for the accelerated Universe
• High-Redshift Cosmography
• Constraints on anisotropic cosmic expansion from supernovae
• On Larger $H_0$ Values in the CMB Dipole Direction
• Cosmological Applications of Pade Approximant
• Cosmic chronometers to calibrate the ladders and measure the curvature of the Universe. A model-independent study
• Hints of a Local Matter Underdensity or Modified Gravity in the Low $z$ Pantheon data
• Expansion, Geometry, and Gravity
• Evidence of a decreasing trend for the Hubble constant
• Probing the cosmographic parameters to distinguish between dark energy and modified gravity models
• On the homogeneity of SnIa absolute magnitude in the Pantheon+ sample
• Direction Dependence of the Deceleration Parameter
• Omnipotent dark energy: A phenomenological answer to the Hubble tension
• Rational approximations of $f(R)$ cosmography through Padé polynomials
• Running vacuum in the Universe: phenomenological status in light of the latest observations, and its impact on the ${\sigma }_8$ and $H_0$ tensions
• Standardized long gamma-ray bursts as a cosmic distance indicator
• Probing the anisotropic expansion from supernovae and GRBs in a model-independent way
• Testing the isotropy of the Universe by using the JLA compilation of type-Ia supernovae
• Measuring cosmological parameters with a luminosity-time correlation of gamma-ray bursts
• Testing spatial curvature and anisotropic expansion on top of the $\Lambda$CDM model
• Testing the Cosmological Principle with CatWISE Quasars: A Bayesian Analysis of the Number-Count Dipole
• Searching for a preferred direction with Union2.1 data
• Cosmography approach to dark energy cosmologies: new constrains using the Hubble diagrams of supernovae, quasars and gamma-ray bursts
• $H_0=69.8\pm 1.3$ $\mathrm{km}{\mathrm{s}}^{-1}\mathrm{Mp}{\mathrm{c}}^{-1}$, ${\Omega }_{m0}=0.288\pm 0.017$, and other constraints from lower-redshift, non-CMB, expansion-rate data
• Anisotropy of the Universe via the Pantheon supernovae sample revisited
• Null Signal for the Cosmic Anisotropy in the Pantheon Supernovae Data
• What do we know about cosmography
• Reducing the uncertainty on the Hubble constant up to 35\% with an improved statistical analysis: different best-fit likelihoods for Supernovae Ia, Baryon Acoustic Oscillations, Quasars, and Gamma-Ray Bursts
• Cosmography by orthogonalized logarithmic polynomials
• Model-independent measurement of cosmic curvature with the latest $H(z)$ and SNe Ia data: A comprehensive investigation
• Inference of the cosmic rest-frame from supernovae Ia
• Revealing the late-time transition of $H_0$: relieve the Hubble crisis
• High-redshift cosmography: Application and comparison with different methods
• Conformally Friedmann-Lemaitre-Robertson-Walker cosmologies
• Searching for signals of inhomogeneity using multiple probes of the cosmic expansion rate H(z)
• Testing Dark Energy Models with Gamma-Ray Bursts Calibrated from the Observational $H(z)$ Data through a Gaussian Process
• Comparison between hemisphere comparison method and dipole-fitting method in tracing the anisotropic expansion of the Universe use the Union2 dataset
• Can high-redshift Hubble diagrams rule out the standard model of cosmology in the context of cosmographic method?
• Speed from light: growth rate and bulk flow at z ~ 0.1 from improved SDSS DR13 photometry
• Testing the anisotropy of cosmic acceleration from Pantheon supernovae sample
• Testing cosmic anisotropy with Pantheon sample and quasars at high redshifts
• Testing the Cosmic Anisotropy with Supernovae Data: Hemisphere Comparison and Dipole Fitting
• The multipole expansion of the local expansion rate
• Effects of type Ia supernovae absolute magnitude priors on the Hubble constant value
• New late-time constraints on $f(R)$ gravity
• Testing $\Lambda$CDM cosmology in a binned universe: anomalies in the deceleration parameter
• Stringy Running Vacuum Model and current Tensions in Cosmology
• Dipole Modulation of Cosmic Microwave Background Temperature and Polarization
• Ultra-compact radio sources and the isotropy and homogeneity of the Universe
• Measuring Hubble constant in an anisotropic extension of $\Lambda$CDM model
• Searching for a cosmological preferred direction with 147 rotationally supported galaxies
• Alleviating the Hubble-constant tension and the growth tension via a transition of absolute magnitude favored by the Pantheon+ sample
• Discordance of dipole asymmetries seen in recent large radio surveys with the Cosmological Principle
• Testing the isotropy of cosmic acceleration with Pantheon+ and SH0ES: A cosmographic analysis
• Constraining the anisotropy of the Universe with the X-ray and UV fluxes of quasars
• Cosmography of the Local Universe by Multipole Analysis of the Expansion Rate Fluctuation Field
• Updating constraints on phantom crossing $f(T)$ gravity
• Searching for a possible dipole anisotropy on acceleration scale with 147 rotationally supported galaxies
• Consistency of Pantheon+ supernovae with a large-scale isotropic universe
• Disentangling Doppler modulation, aberration and the temperature dipole in the CMB
• Testing isotropy in the Two Micron All-Sky redshift survey with information entropy
• Dynamical systems analysis of an interacting scalar field model in an anisotropic universe
• Can acoustic and axion-like early dark energy still resolve the Hubble tension?
• $\Lambda$CDM cosmology with a quiescent anisotropy in a higher dimensional steady state universe

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• Probing the Dynamics of Gaussian Dark Energy Equation of State Using DESI BAO
• Testing inhomogeneous cosmography in our cosmic neighborhood using CosmicFlows-4
• On the convergence of cosmographic expansions in Lemaitre-Tolman-Bondi models
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• An effective $\mathbf{\Lambda }$-Szekeres modelling of the local Universe with Cosmicflows-4
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