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Can late-time extensions solve the $H_0$ and $\sigma_8$ tensions?

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arxiv 2202.01202 v1 pith:Y3NASFZJ submitted 2022-02-02 astro-ph.CO gr-qchep-th

classification astro-ph.COgr-qchep-th
keywords deviationslate-timesigmatensionscaseextensionslambdasmall
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We analyze the properties that any late-time modification of the $\Lambda$CDM expansion history must have in order to consistently solve both the $H_0$ and the $\sigma_8$ tensions. Taking a model-independent approach, we obtain a set of necessary conditions that can be applied to generic late-time extensions. Our results are fully analytical and merely based on the assumptions that the deviations from the $\Lambda$CDM background remain small. For the concrete case of a dark energy fluid with equation of state $w(z)$, we derive the following general requirements: (i) Solving the $H_0$ tension demands $w(z)<-1$ at some $z$ (ii) Solving both the $H_0$ and $\sigma_8$ tensions requires $w(z)$ to cross the phantom divide. Finally, we also allow for small deviations on the effective gravitational constant. In this case, our method is still able to constrain the functional form of these deviations.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Early- and late-time constraints on Wald-Gauss-Bonnet topological dark energy and implications for the $H_0$ and $S_8$ tensions

    gr-qc 2026-07 conditional novelty 6.0 of 10

    A joint CMB, BAO, and supernova fit mildly prefers a non-zero Wald-Gauss-Bonnet dark-energy term (~3σ with SH0ES included), raising H0 from 68.5 to 69.8 km/s/Mpc and easing the Hubble tension by ~0.9σ at the cost of a...

  2. BAO miscalibration cannot rescue late-time solutions to the Hubble tension

    astro-ph.CO 2025-10 accept novelty 6.0 of 10

    Even after rescaling BAO data to prefer H0≈73 km/s/Mpc, none of six tested late-time dark-energy models can resolve the Hubble tension once unanchored SNeIa and CMB geometry are included.

  3. Observational implications of Wald-Gauss-Bonnet topological dark energy

    gr-qc 2025-01 conditional novelty 6.0 of 10

    Wald-Gauss-Bonnet topological dark energy is viable against late-universe data but statistically loses to ΛCDM, and its perturbations are nearly indistinguishable from ΛCDM.

  4. The case for a low dark matter density in dynamical dark energy model from local probes

    astro-ph.CO 2025-01 conditional novelty 5.0 of 10

    A Bayesian combination of local probes shows that a low matter density can accommodate local H0 and sigma8 values in LCDM when the BAO sound horizon is left free, but dynamical dark energy still faces tensions with Pa...

  5. Decoupling perturbations from background in $f(Q)$ gravity: the square-root correction and the impact on the $\sigma_8$ tension

    astro-ph.CO 2025-12 conditional novelty 4.0 of 10

    A sqrt(Q) correction in f(Q) gravity suppresses structure growth without altering the expansion history; fitted to RSD/DESI data it can bring sigma8 into agreement with Planck, at the cost of a sigma8-M degeneracy.

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