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Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
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abstract
A general approach to viable modified $f(R)$ gravity is developed in both the Jordan and the Einstein frames. A class of exponential, realistic modified gravities is introduced and investigated with care. Special focus is made on step-class models, most promising from the phenomenological viewpoint and which provide a natural way to classify all viable modified gravities. One- and two-steps models are explicitly considered, but the analysis is extensible to $N$-step models. Both inflation in the early universe and the onset of recent accelerated expansion arise in these models in a natural, unified way. Moreover, it is demonstrated that models in this category easily pass all local tests, including stability of spherical body solution, non-violation of Newton's law, and generation of a very heavy positive mass for the additional scalar degree of freedom.
Forward citations
Cited by 13 Pith papers
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Gravitational Wave Birefringence in generalized Palatini Chern Simons
Palatini f(R)+Chern–Simons gravity predicts amplitude and velocity birefringence in GW propagation, with the effect controlled by f_R and, under de-Sitter approximations, growing polynomially with redshift.
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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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Inflation in non-local hybrid metric-Palatini gravity
Non-local hybrid metric-Palatini gravity generically contains ghosts, but a degenerate subclass with metric f(R) gravity plus Palatini non-local terms is ghost-free and can drive slow-roll inflation resembling Starobi...
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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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Unified Cosmological Scenario in Holographic $f(Q)$ gravity: From Inflation to Late-Time Acceleration
A holographic f(Q) = ζ Q^n model yields slow-roll inflation consistent with Planck 2018 and late-time expansion compatible with CC+BAO data via CPL parametrization, with mild high-z deviations from ΛCDM.
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Preventing Curvature Singularities in $f(R)$ Dark Energy Models
Adding R² or related higher-curvature corrections can prevent singularities in toy f(R) dark-energy models only when the correction mass is tuned far below the Starobinsky inflation scale.
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Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves
An exponentially deformed R^2 gravity model is claimed to produce total equation-of-state oscillations near z~3400 that enhance the primordial gravitational wave spectrum at LiteBIRD frequencies.
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Cosmological implications and causality in $f(R, L_{m}, T)$ gravity theory with observational constraints
Four f(R,Lm,T) fluid models are fitted to CC+Pantheon+SH0ES data, but the assumed matter conservation contradicts the theory's field equations.
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Modified gravity/Dynamical Dark Energy vs $\Lambda$CDM: is the game over?
An AIC/χ² comparison of exponential F(R) gravity, wCDM, and CPL models against Pantheon+, DESI DR1, cosmic chronometer, and Planck-compressed data claims ΛCDM is excluded at 4σ, but the significance conversion is not ...
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Quasi-cosmological Traversable Wormholes in $f(R)$ Gravity
The paper claims f(R)-gravity wormholes with nonconstant Ricci scalar can satisfy null and weak energy conditions near the throat in several modified gravity models, but only when the effective gravitational constant ...
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Off-diagonal solutions in Einsteingravity modeling f(R) gravity and dynamical darkenergy vs Lambda CDM cosmology
Off-diagonal Einstein solutions constructed via the anholonomic frame and connection deformation method can mimic f(R) gravity and dynamical dark energy effects inside GR and Lambda CDM cosmology.
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The Scale Factor Potential Approach to Inflation
The paper reparametrizes slow-roll inflation through a scale factor potential and constructs an example potential, but the chosen 60 e-fold branch is inconsistent with its own first-minimum end condition.
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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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