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The Large Scale Structure of f(R) Gravity
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The Large Scale Structure of f(R) Gravity
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We study the evolution of linear cosmological perturbations in f(R) models of accelerated expansion in the physical frame where the gravitational dynamics are fourth order and the matter is minimally coupled. These models predict a rich and testable set of linear phenomena. For each expansion history, fixed empirically by cosmological distance measures, there exists two branches of f(R) solutions that are parameterized by B propto d^2 f/dR^2. For B<0, which include most of the models previously considered, there is a short-timescale instability at high curvature that spoils agreement with high redshift cosmological observables. For the stable B>0 branch, f(R) models can reduce the large-angle CMB anisotropy, alter the shape of the linear matter power spectrum, and qualitatively change the correlations between the CMB and galaxy surveys. All of these phenomena are accessible with current and future data and provide stringent tests of general relativity on cosmological scales.
Forward citations
Cited by 9 Pith papers
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Unveiling $f(R)$ Gravity with Void-Galaxy Cross-Correlation Multipoles
Semi-analytical calculation of void-galaxy cross-correlation multipoles in Hu-Sawicki f(R) gravity reveals size-dependent deviations from LambdaCDM up to 29.7 percent for small voids, amplified by nonlinear evolution ...
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Unveiling $f(R)$ Gravity with Void-Galaxy Cross-Correlation Multipoles
Void-galaxy cross-correlation multipoles exhibit amplified size-dependent deviations from LCDM in f(R) gravity due to the scalaron fifth force and nonlinear shell dynamics, providing a new probe for modified gravity.
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ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity
Positive running of the spectral index is achievable in Einstein-Gauss-Bonnet gravity with viable inflation, unlike standard scalar field and F(R) models which face challenges.
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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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Galaxy formation in modified gravity -- II. galaxy halo connection and assembly bias
Simulations in f(R) gravity show that environment density in the HOD model reduces assembly bias effects to 2-3% at z≲0.5 in both ΛCDM and modified gravity.
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ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity
Einstein-Gauss-Bonnet inflation can yield positive spectral-index running with a viable era under ACT-like hints, while scalar-field and F(R) models largely cannot.
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Forecast on $f(R)$ Gravity with HI 21cm Intensity Mapping Surveys
Fisher forecasts show BINGO and SKA1-MID 21-cm intensity mapping, combined with Planck priors, could constrain the f(R) gravity parameter B0 down to ~10⁻⁶–10⁻⁸.
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Dark Energy in Ghost-free non-local Gravity
Ghost-free non-local gravity fits Pantheon+, DESI, and H(z) data but fails with added CMB, while generalized exponential F(R) gravity outperforms Lambda CDM across all datasets including CMB.
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Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
Modified gravity theories supply viable mathematical frameworks for inflation, bounces, and dark energy eras that match observational data.
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