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Metric $f(R)$ gravity with dynamical dark energy as a scenario for the Hubble tension
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abstract
We introduce a theoretical framework to interpret the Hubble tension, based on the combination of a metric $f(R)$ gravity with a dynamical dark energy contribution. The modified gravity provides the non-minimally coupled scalar field responsible for the proper scaling of the Hubble constant, in order to accommodate for the local SNIa pantheon+ data and Planck measurements. The dynamical dark energy source, which exhibits a phantom divide line separating the low red-shift quintessence regime ($-1<w<-1/3$) from the phantom contribution ($w<-1$) in the early Universe, guarantees the absence of tachyonic instabilities at low red-shift. The resulting $H_0(z)$ profile rapidly approaches the Planck value, with a plateau behaviour for $z\gtrsim 5$. In this scenario, the Hubble tension emerges as a low red-shift effect, which can be in principle tested by comparing SNIa predictions with far sources, like QUASARS and Gamma Ray Bursts.
Forward citations
Cited by 5 Pith papers
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Early- and late-time constraints on Wald-Gauss-Bonnet topological dark energy and implications for the $H_0$ and $S_8$ tensions
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...
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Exponential $f(R)$ cosmology with massive neutrinos as a dynamical dark energy framework
Exponential f(R) gravity with massive neutrinos fits current expansion data about as well as ΛCDM and yields slightly different H0 and Σmν constraints, but does not eliminate the Hubble tension.
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Hubble tension: a short review of theoretical explanations
A comprehensive review finds no theoretical Hubble-tension solution yet passes all consistency tests; new early-dark-energy chains reach high H0 only when the SH0ES calibration is added.
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Investigating $f(R)$-Inflation: background evolution and constraints
A Jordan-frame f(R) model with particle creation during inflation is fitted to DESI and Pantheon+ data, yielding H0=71.04 and a claimed reduction of the Hubble tension to about 1.6-2.8 sigma.
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QCD CP-violation scenario for a revised cosmological dynamics: analysis of the binned Pantheon Sample of Super Novae Ia
The paper fits a dark-matter–dark-energy interaction model from a complex scalar field to binned Pantheon SNeIa data and claims to explain the redshift-running H0, but the derivation's equations are internally inconsistent.
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