Cosmography by orthogonalized logarithmic polynomials

Abstract

Cosmography is a powerful tool to investigate the Universe kinematic and then to reconstruct dynamics in a model-independent way. However, recent new measurements of supernovae Ia and quasars have populated the Hubble diagram up to high redshifts ($z\sim 7.5$) and the application of the traditional cosmographic approach has become less straightforward due to the large redshifts implied. Here we investigate this issue through an expansion of the luminosity distance-redshift relation in terms of "orthogonal" logarithmic polynomials. In particular we point out the advantages of a new procedure of "orthogonalization" and we show that such an expansion provides a very good fit in the whole $z=0÷7.5$ range to both real and mock data obtained assuming various cosmological models. Moreover, despite of the fact that the cosmographic series is tested well beyond its convergence radius, the parameters obtained expanding the luminosity distance - redshift relation for the $\Lambda$CDM model are broadly consistent with the results from a fit of mock data obtained with the same cosmological model. This provides a method to test the reliability of a cosmographic function to study cosmological models at high redshifts and it demonstrates that the logarithmic polynomial series can be used to test the consistency of the $\Lambda$CDM model with the current Hubble diagram of quasars and supernovae Ia. We confirm a strong tension (at $>4\sigma$) between the concordance cosmological model and the Hubble diagram at $z>1.5$. Such a tension is dominated by the contribution of quasars at $z>2$ and starts to be present also in the few supernovae Ia observed at $z>1$.

arXiv comment11 pages, 7 figures, accepted for publication in A&A, comments are welcome

References in corpus (34)

• 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
• The Cosmological Constant and Dark Energy
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• The Case for a Positive Cosmological Lambda-term
• 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
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• H0LiCOW XIII. A 2.4% measurement of $H_0$ from lensed quasars: $5.3\sigma$ tension between early and late-Universe probes
• An 800-million-solar-mass black hole in a significantly neutral Universe at redshift 7.5
• Jerk, snap, and the cosmological equation of state
• Extended Gravity Cosmography
• A Hubble Diagram for Quasars
• The tight relation between X-ray and ultraviolet luminosity of quasars
• $H_0$ Tension, Phantom Dark Energy and Cosmological Parameter Degeneracies
• Quasars as standard candles III. Validation of a new sample for cosmological studies
• High-redshift cosmography: auxiliary variables versus Padé polynomials
• Model independent constraints on dark energy evolution from low-redshift observations
• Tension with the flat ΛCDM model from a high redshift Hubble Diagram of supernovae, quasars and gamma-ray bursts
• Precision cosmology with Padé rational approximations: theoretical predictions versus observational limits
• Cosmographic analysis with Chebyshev polynomials
• Comprehensive cosmographic analysis by Markov Chain Method
• Cosmography and flat $\Lambda$CDM tensions at high redshift
• A $w-M$ phantom transition at $z_t<0.1$ as a resolution of the Hubble tension
• Cosmology with gamma-ray bursts: II Cosmography challenges and cosmological scenarios for the accelerated Universe
• Cosmological model insensitivity of local $H_0$ from the Cepheid distance ladder
• Quasars as standard candles II: The non linear relation between UV and X-ray emission at high redshifts
• Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty
• Connecting early and late epochs by f(z)CDM cosmography
• Cosmography approach to dark energy cosmologies: new constrains using the Hubble diagrams of supernovae, quasars and gamma-ray bursts
• Unveiling cosmography from the dark energy equation of state
• Inverse Cosmography: testing the effectiveness of cosmographic polynomials using machine learning

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• Quasars as Standard Candles IV. Analysis of the X-ray and UV indicators of the disc-corona relation
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• Quasars as standard candles VI: spectroscopic validation of the cosmological sample
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• Quasars as Standard Candles V. Evaluation of a $\le$ 0.06 dex intrinsic dispersion in the LX-LUV relation
• Unveiling the Universe with Emerging Cosmological Probes
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