Late time approaches to the Hubble tension deforming $H(z)$, worsen the growth tension

Abstract

Many late time approaches for the solution of the Hubble tension use late time smooth deformations of the Hubble expansion rate $H(z)$ of the Planck18/$\Lambda$CDM best fit to match the locally measured value of $H_0$ while effectively keeping the comoving distance to the last scattering surface and ${\Omega }_{0m}{h}^2$ fixed to maintain consistency with Planck CMB measurements. A well known problem of these approaches is that they worsen the fit to low $z$ distance probes. Here we show that another problem of these approaches is that they worsen the level of the ${\Omega }_{0m}-{\sigma }_8$ growth tension. We use the generic class of CPL parametrizations corresponding to evolving dark energy equation of state parameter $w(z)=w_0+w_1\frac{z}{1+z}$ with local measurements $H_0$ prior and identify the pairs $(w_0,w_1)$ that satisfy this condition. This is a generic class of smooth deformations of $H(z)$ that are designed to address the Hubble tension. We show that for these models the growth tension between dynamical probe data and CMB constraints is worse than the corresponding tension of the standard Planck18/$\Lambda$CDM model. We justify this feature using a full numerical solution of the growth equation and fit to the data, as well as by using an approximate analytic approach. The problem does not affect recent proposed solutions of the Hubble crisis involving a SnIa intrinsic luminosity transition at $z_t\simeq 0.01$.

7 pages, 5 figures. Published vesrion (MNRAS) doi.org/10.1093/mnras/stab1070. The numerical analysis files for the reproduction of the figures can be found in https://github.com/GeorgeAlestas/Growth-Hubble_Tension under the MIT license

References in corpus (25)

• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Early dark energy, the Hubble-parameter tension, and the string axiverse
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• KiDS-450 + 2dFLenS: Cosmological parameter constraints from weak gravitational lensing tomography and overlapping redshift-space galaxy clustering
• Early dark energy from massive neutrinos -- a natural resolution of the Hubble tension
• On the use of the local prior on the absolute magnitude of Type Ia supernovae in cosmological inference
• KiDS-450: The tomographic weak lensing power spectrum and constraints on cosmological parameters
• Can Late Dark Energy Transitions Raise the Hubble constant?
• $H_0$ Tension, Phantom Dark Energy and Cosmological Parameter Degeneracies
• Early dark energy is not excluded by current large-scale structure data
• Weak Lensing Probes of Modified Gravity
• Mass Calibration and Cosmological Analysis of the SPT-SZ Galaxy Cluster Sample Using Velocity Dispersion ${\sigma }_v$ and X-ray $Y_{\text{X}}$ Measurements
• A rapid transition of $G_{\mathrm{eff}}$ at $z_t\simeq 0.01$ as a solution of the Hubble and growth tensions
• Density perturbations in general modified gravitational theories
• A $w-M$ phantom transition at $z_t<0.1$ as a resolution of the Hubble tension
• Dynamical dark energy after Planck CMB final release and $H_0$ tension
• Hints of a Local Matter Underdensity or Modified Gravity in the Low $z$ Pantheon data
• On using the CMB shift parameter in tests of models of dark energy
• Tension of the $E_G$ statistic and RSD data with Planck/$\Lambda$CDM and implications for weakening gravity
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in Fourier space
• Banana Split: Testing the Dark Energy Consistency with Geometry and Growth
• Newton's constant in f(R,R_{μν}R^{μν},\Box R) theories of gravity and constraints from BBN
• Hints of Modified Gravity in Cosmos and in the Lab?
• Hints for possible low redshift oscillation around the best fit $\Lambda$CDM model in the expansion history of the Universe

Cited by in corpus (50)

• In the Realm of the Hubble tension $-$ a Review of Solutions
• Challenges for $\Lambda$CDM: An update
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• 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
• Consistency tests of $\Lambda$CDM from the early integrated Sachs-Wolfe effect: Implications for early-time new physics and the Hubble tension
• Arbitrating the $S_8$ discrepancy with growth rate measurements from Redshift-Space Distortions
• Relaxing cosmological tensions with a sign switching cosmological constant
• A rapid transition of $G_{\mathrm{eff}}$ at $z_t\simeq 0.01$ as a solution of the Hubble and growth tensions
• Nonparametric late-time expansion history reconstruction and implications for the Hubble tension in light of recent DESI and type Ia supernovae data
• Implications for the Hubble tension from the ages of the oldest astrophysical objects
• A $w-M$ phantom transition at $z_t<0.1$ as a resolution of the Hubble tension
• Can late-time extensions solve the $H_0$ and ${\sigma }_8$ tensions?
• Hubble tension or a transition of the Cepheid SnIa calibrator parameters?
• Dark sector interaction and the supernova absolute magnitude tension
• Late-transition vs smooth $H(z)$ deformation models for the resolution of the Hubble crisis
• No-go guide for the Hubble tension : Late-time solutions
• Multidimensionality of the Hubble tension: the roles of ${\Omega }_m$ and ${\omega }_c$
• Combining pre- and post-recombination new physics to address cosmological tensions: case study with varying electron mass and sign-switching cosmological constant
• Hints for a gravitational constant transition in Tully-Fisher data
• Inferring $S_8(z)$ and $\gamma (z)$ with cosmic growth rate measurements using machine learning
• Alleviating both $H_0$ and ${\sigma }_8$ tensions in Tsallis cosmology
• Sign Switching in Dark Sector Coupling Interactions as a Candidate for Resolving Cosmological Tensions
• Machine learning constraints on deviations from general relativity from the large scale structure of the Universe
• The Hubble Tension, The $M$ Crisis of Late Time $H(z)$ Deformation Models and the Reconstruction of Quintessence Lagrangians
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• No-go guide for late-time solutions to the Hubble tension: Matter perturbations
• Thermal Friction as a Solution to the Hubble and Large-Scale Structure Tensions
• Gravitational transitions via the explicitly broken symmetron screening mechanism
• Alleviating $H_0$ Tension with New Gravitational Scalar Tensor Theories
• Quintessential Cosmological Tensions
• Alleviating $H_0$ tension in Horndeski gravity
• Can phantom transition at $z\sim 1$ restore the Cosmic concordance?
• Constraining a late time transition of $G_{\mathrm{eff}}$ using low-z galaxy survey data
• Planck-PR4 anisotropy spectra show (better) consistency with General Relativity
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• Resonant neutrino self-interactions and the $H_0$ tension
• Model-independent cosmological inference after the DESI DR2 data with improved inverse distance ladder
• Updating constraints on phantom crossing $f(T)$ gravity
• Kinetically Coupled Scalar Fields Model and Cosmological Tensions
• Linear matter density perturbations in the ${\Lambda }_{\mathrm{s}}$CDM model: Examining growth dynamics and addressing the $S_8$ tension
• Addressing the Hubble tension in Yukawa cosmology?
• Effects of a Late Gravitational Transition on Gravitational Waves and Anticipated Constraints
• Chameleon Early Dark Energy and the Hubble Tension
• Lensing amplitude anomaly and varying electron mass alleviate the Hubble and $S_8$ tensions
• Another look on the connections of Hubble tension with the Heisenberg Uncertainty Principle
• What Prevents Resolving the Hubble Tension through Late-Time Expansion Modifications?
• Performance of Non-Parametric Reconstruction Techniques in the Late-Time Universe
• On the origin of the BAOtr-DESI tension
• Model-independent calibration of Gamma-Ray Bursts with neural networks
• Thermodynamics of sign-switching dark energy models