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Modified gravity and its reconstruction from the universe expansion history

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arxiv hep-th/0611071 v2 pith:LZU5S7VG submitted 2006-11-07 hep-th astro-phgr-qc

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

We develop the reconstruction program for the number of modified gravities: scalar-tensor theory, $f(R)$, $F(G)$ and string-inspired, scalar-Gauss-Bonnet gravity. The known (classical) universe expansion history is used for the explicit and successful reconstruction of some versions (of special form or with specific potentials) from all above modified gravities. It is demonstrated that cosmological sequence of matter dominance, decceleration-acceleration transition and acceleration era may always emerge as cosmological solutions of such theory. Moreover, the late-time dark energy FRW universe may have the approximate or exact $\Lambda$CDM form consistent with three years WMAP data. The principal possibility to extend this reconstruction scheme to include the radiation dominated era and inflation is briefly mentioned. Finally, it is indicated how even modified gravity which does not describe the matter-dominated epoch may have such a solution before acceleration era at the price of the introduction of compensating dark energy.

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Cited by 5 Pith papers

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

  1. Propagating degrees of freedom on maximally-symmetric backgrounds in $f(R)$ theories of gravity

    gr-qc 2024-12 accept novelty 7.0 of 10

    For all degenerate f(R) models, the linearized spectrum on maximally symmetric backgrounds is empty: no graviton and no scalaron.

  2. Nonlinear reconstruction of general dark energy theories

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    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...

  3. EFT-Ramses: a code to simulate the effective field theory of dark energy

    astro-ph.CO 2026-07 accept novelty 5.5 of 10

    A unified AMR N-body code embeds EFTofDE α-basis models into one master Vainshtein equation and matches legacy ECOSMOG and HiCOLA matter power spectra.

  4. Entropy-geometry correspondence as effective nonlocal gravity

    gr-qc 2026-08 conditional novelty 5.0 of 10

    Generalized entropies determine effective nonlocal operators and running Newton couplings, with the area law reproduced identically for any entropy function.

  5. 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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