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Testing $\gamma\delta$CDM Model in the Redshift Bins
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abstract
The Hubble crisis is the discrepancy in the values of the Hubble constant inferred from diverse observations in the late and early Universe, being of the order 5$\sigma$. Instead of resolution, the conflict is getting larger with further late-time observations. A fundamental constant should be and remain constant throughout the cosmological history and thus at all redshifts. The fact that it turns out to be a function of redshift in the $\Lambda$CDM model points out that either there is a problem with the current cosmological model, indicating unknown new physics, or there are unknown systematics in some of the observations. In this work, we investigate the redshift dependence of the Hubble constant in the $\gamma\delta$CDM cosmological model, which is a new cosmological model based on $f(R)$ gravity in an anisotropic background. Through data analysis with the Pantheon+ type Ia supernovae, the cosmic chronometers Hubble, and both the old and the Dark Energy Spectroscopic Instrument (DESI) baryon acoustic oscillation data, we establish that the Hubble constant in our model does not evolve with redshift. We also confirm that our model fits the aforementioned data better than the $\Lambda$CDM model by checking various information criteria. The value of the Hubble constant obtained in the $\gamma\delta$CDM model is in the 1$\sigma$ bound of the late Universe observations.
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BAO miscalibration cannot rescue late-time solutions to the Hubble tension
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.
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ΛCDM model The Hubble parameter in the ΛCDM model is given by H(z) = H0 h Ωe0 + Ωm0 (1 + z)3 + Ωr0 (1 + z)4 i1/2 . (28) Since the radiation density today, Ωr0, is very small Ω r0 ∼ O(10−4) [105] compared to Ω e0 ∼ Ωm0 ∼ O(10−1) [2], in the case of observations in the late Universe, i.e., observations with low redshift values, we can ignore contribution of...
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γδCDM model The Hubble parameter in the γδCDM model is given by: H(z) = H0 Ωe0 bγ (1 + z)γ−δ + Ωm0 b3 (1 + z)3−δ + Ωr0 b4 (1 + z)4−δ + Ωs0 1 − δ (1 + z)6−2δ 1/2 . (31) Since the anisotropic shear, dimensionlessly quantified by Ω s0, is very small Ω s0 ∼ O(10−12) [55] compared to Ω e0 and Ω m0 [2], we can ignore the contribution of the anisotropic shear an...
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Analysis with the full dataset To keep the uncertainty in H0,z to be less than 1 .0, the authors of [37, 49] fixed the dimensionless matter density parameter, Ω m0 = 0.3 and chose uniform prior distribution 50 ≤ H0,zi ≤ 80 (km/s/M pc) for all zi. When we constrain the flat ΛCDM model with the full CC+eBOSS+Pan+ dataset, with the same choices, the Bayesian...
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