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Reconstruction of GR cosmological solutions in modified gravity theories

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arxiv 1903.03974 v1 pith:I2K3PA7L submitted 2019-03-10 gr-qc

Igor V. Fomin , Sergey V. Chervon This is my paper · ORCID
classification gr-qc
keywords cosmologicalgravityscalarsolutionsexactmodelspower-lawapproach
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We study the special class of the exact solutions in cosmological models based on the Generalized Scalar-Tensor Gravity with non-minimal coupling of a scalar field to the Ricci scalar and to the Gauss-Bonnet scalar in 4D Friedmann universe corresponding to similar ones in GR. The parameters of cosmological perturbations in such models correspond to the case of Einstein gravity with a high precision. As the example of proposed approach, we obtain the exact solutions for the power-law and exponential power-law inflation.

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Cited by 7 Pith papers

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

  1. Corrections to inflationary models induced by non-minimal coupling between scalar field and curvature

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Power-law non-minimal coupling F=(H/λ)^{2n} deforms inflationary potentials, shifts r and n_S while preserving n_T=-r/8 and GR-like reheating, enabling r(1-n_S) classification of models against Planck/ACT data.

  2. Einstein--Gauss--Bonnet Inflationary Cosmology in Phase-$\theta$ Formalism

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Phase-θ formalism maps EGB inflation backgrounds to closed-form observables beyond slow-roll; Starobinsky+linear-GB fits ACT DR6 ns and r while predicting a DECIGO-accessible GW plateau.

  3. Non-Standard Thermal History and Formation of Primordial Black Holes in Einstein-Gauss-Bonnet Gravity

    gr-qc 2025-01 conditional novelty 5.0 of 10

    A tuned Einstein-Gauss-Bonnet inflation model can create primordial black holes from asteroid-sized to tens of solar masses and secondary gravitational waves, with abundances that change dramatically in a stiff post-i...

  4. Constraining Quintessential Inflation with ACT: A Gauss-Bonnet Gateway

    astro-ph.CO 2026-04 unverdicted novelty 4.5 of 10

    Exponential and sech Gauss–Bonnet couplings restore ACT-compatible ns and r for quintessential inflation, while tanh fails for a structural sign reason; reheating remains BBN-safe.

  5. Reconciling Fractional Power Potential and EGB Gravity in the light of ACT

    astro-ph.CO 2025-07 conditional novelty 4.0 of 10

    In EGB gravity, the V0 phi^n potential with n = 1/3 and 2/5 can produce ns and r within the 1 sigma ACT r-ns region for selected coupling values.

  6. Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating

    astro-ph.CO 2025-05 conditional novelty 4.0 of 10

    In Einstein-Gauss-Bonnet gravity, the Mutated Hilltop inflation model can satisfy Planck'18 bounds on the spectral index and tensor-to-scalar ratio when the Gauss-Bonnet coupling parameters are tuned, with the new slo...

  7. Starobinsky like inflation and EGB Gravity in the light of ACT

    astro-ph.CO 2025-05 conditional novelty 4.0 of 10

    Starobinsky inflation with a tuned Einstein-Gauss-Bonnet coupling can reproduce the ACT-enhanced scalar spectral index within 1σ.

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