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Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe

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arxiv hep-th/0608008 v3 pith:G2WWBNS6 submitted 2006-08-01 hep-th astro-phgr-qc

Shin'ichi Nojiri , Sergei D. Odintsov This is my paper
classification hep-thastro-phgr-qc
keywords modifiedgravitymattercosmologydominatedconsistentcosmologicaldark
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abstract

We develop the general scheme for modified $f(R)$ gravity reconstruction from any realistic FRW cosmology. We formulate several versions of modified gravity compatible with Solar System tests where the following sequence of cosmological epochs occurs: a. matter dominated phase (with or without usual matter), transition from decceleration to acceleration, accelerating epoch consistent with recent WMAP data b. $\Lambda$CDM cosmology without cosmological constant. As a rule, such modified gravities are expressed implicitly (in terms of special functions) with late-time asymptotics of known type (for instance, the model with negative and positive powers of curvature). In the alternative approach, it is demonstrated that even simple versions of modified gravity may lead to the unification of matter dominated and accelerated phases at the price of the introduction of compensating dark energy.

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonlinear reconstruction of general dark energy theories

    astro-ph.CO 2025-07 conditional novelty 6.0 of 10

    A reconstruction method is derived that turns background expansion and linear perturbation data into full non-linear Lagrangians for quintessence, scalar-tensor, k-essence, and shift-symmetric cubic Galileon dark ener...

  2. New Agegraphic Dark Energy Driven Reconstruction of \boldmath{$f(Q)$} Gravity and its Cosmological Implications

    astro-ph.CO 2025-07 conditional novelty 5.0 of 10

    An f(Q) gravity function is derived by forcing its dark energy density to match New Agegraphic Dark Energy, and this NADE-equal-f(Q) model fits BAO data only marginally better than the standard model.

  3. ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Reconstruction produces explicit f(Q) and generalised-entropic inflation models (and scalar-coupled versions) whose slow-roll parameters match ACT-DR6 + Planck-BAO constraints on n_s and r.

  4. Reconstructing $f(R)$ gravity from Viaggiu Holographic Dark Energy under Hubble, Event Horizon and Granda Oliveros cutoffs

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Explicit f(R) forms obtained by equating VHDE density to curvature density under Hubble, event-horizon and Granda-Oliveros cutoffs describe late-time acceleration and satisfy standard viability conditions.

  5. Unified Cosmological Scenario in Holographic $f(Q)$ gravity: From Inflation to Late-Time Acceleration

    physics.gen-ph 2026-05 unverdicted novelty 4.0 of 10

    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.

  6. (Lovelock)$^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation

    gr-qc 2025-12 conditional novelty 4.0 of 10

    A quadratic f(L) gravity with a negative Gauss-Bonnet coupling shifts Starobinsky inflation's (n_s, r) predictions toward the ACT-preferred higher n_s, at the cost of a larger tensor-to-scalar ratio.

  7. Transit dark energy cosmological models in generalized matter-geometry coupling theory using a non-linear form of $f(R,T,L_{m})$ function

    gr-qc 2025-09 conditional novelty 4.0 of 10

    A modified f(R,T,L_m) gravity model, fitted to CC and Pantheon data, yields an accelerating late-time universe with transition redshift near 0.6 and an effective dark energy equation of state within 1e-5 of -1.

  8. Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves

    gr-qc 2025-07 reject novelty 4.0 of 10

    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.

  9. Dissipative Cosmology and the Nature of Dark Energy: Insights from Bulk Viscosity with DESI DR2 observations

    astro-ph.CO 2026-06 unverdicted novelty 3.0 of 10

    Bulk viscous fluid models for dark energy yield improved fits to supernova, BAO, and CMB data over LambdaCDM, especially in the interacting non-minimal case.

  10. Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

    gr-qc 2017-05 accept novelty 2.0 of 10

    Modified gravity theories supply viable mathematical frameworks for inflation, bounces, and dark energy eras that match observational data.

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