Cosmological constraints of Palatini $f(\mathcal{R})$ gravity

Abstract

In this study, we investigate a Palatini $f(R)$ gravity model featuring a quadratic term correction, aligning it with the most recent expansion rate data, with a particular focus on the latest SNIa and BAO data. Our analysis employs CC data as the fundamental dataset, complemented by contributions from the SN sample and a combination of non-overlapping transversal BAO datasets. We conduct a comprehensive MCMC analysis for each data set combination, yielding constraints on all cosmological parameters within the model. Additionally, we incorporate the latest Hubble constant value from the SH0ES Team. Finally, we present a statistical comparison between the Palatini quadratic model and $\Lambda$CDM using the AIC and BIC metrics, ultimately obtaining the constraint $|\alpha |\le 10^{49}{\text{m}}^2$. We also stress the significance of studying stellar and substellar objects for obtaining more precise constraints on modified gravity compared to those derived from cosmological observations.

19 pages, 3 figures

References in corpus (58)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• 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
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Challenges for $\Lambda$CDM: An update
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• The trouble with $H_0$
• Cosmology Intertwined II: The Hubble Constant Tension
• The Expansion of the Universe is Faster than Expected
• The $H_0$ Olympics: A fair ranking of proposed models
• Cosmology Intertwined III: $f{\sigma }_8$ and $S_8$
• On the Hubble constant tension in the SNe Ia Pantheon sample
• The Megamaser Cosmology Project. XIII. Combined Hubble constant constraints
• The Atacama Cosmology Telescope: DR6 Gravitational Lensing Map and Cosmological Parameters
• Hemispherical power asymmetry in the three-year Wilkinson Microwave Anisotropy Probe sky maps
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Recent Advances on Inflation
• Why reducing the cosmic sound horizon alone can not fully resolve the Hubble tension
• Higgs-Palatini Inflation and Unitarity
• Linking Tests of Gravity On All Scales: from the Strong-Field Regime to Cosmology
• Running Hubble Tension and a H0 Diagnostic
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Higgs inflation with loop corrections in the Palatini formulation
• A measurement of the Hubble constant from Type II supernovae
• Revealing Intrinsic Flat $\Lambda$CDM Biases with Standardizable Candles
• Cosmology Intertwined IV: The Age of the Universe and its Curvature
• Minimal Higgs inflation with an $R^2$ term in Palatini gravity
• Cosmology Intertwined I: Perspectives for the Next Decade
• Viable Palatini-f(R) cosmologies with generalized dark matter
• Late time interacting cosmologies and the Hubble constant tension
• BAO+BBN revisited -- Growing the Hubble tension with a 0.7km/s/Mpc constraint
• Palatini-Higgs inflation with non-minimal derivative coupling
• Gaussian processes and effective field theory of $f(T)$ gravity under the $H_0$ tension
• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
• Quintessential inflation in Palatini $f(R)$ gravity
• Palatini $R^2$ Quintessential Inflation
• Tachyonic Preheating in Palatini $R^2$ Inflation
• Cosmology with a new f(R) gravity model in Palatini formalism
• Decaying dark matter, the $H_0$ tension, and the lithium problem
• Questioning the $H_0$ tension via the look-back time
• Boson stars in Palatini $f(\mathcal{R})$ gravity
• On Redshift Evolution & Negative Dark Energy Density in Pantheon+ Supernovae
• Birth of baby universes from gravitational collapse in a modified-gravity scenario
• Normalized additional velocity distribution: testing the radial profile of dark matter halos and MOND
• Nonminimally-coupled warm Higgs inflation: Metric vs. Palatini Formulations
• Non-minimally coupled Natural Inflation: Palatini and Metric formalism with the recent BICEP/Keck
• Small amplitude red giants elucidate the nature of the Tip of the Red Giant Branch as a standard candle
• Unveiling Phase Space Modifications: A Clash of Modified Gravity and the Generalized Uncertainty Principle
• Planetary seismology as a test of modified gravity proposals
• Quintessential Inflation in Palatini Gravity
• Interacting quintessence cosmology from Noether symmetries: comparing theoretical predictions with observational data
• The effective Equation of State in Palatini $f(R)$ cosmology
• A diffeomorphism invariant family of metric-affine actions for loop cosmologies
• Palatini $f(R)$ gravity tests in the weak field limit: Solar System, seismology and galaxies

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• General Einstein-Cartan quadratic gravity with derivative couplings
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Propagation and lensing of gravitational waves in Palatini $f(\hat{R})$ gravity
• Geometric formulation of $k$-essence and late-time acceleration
• Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models
• Refining Bounds for Snyder and GUP Models through Seismic Wave Analysis