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String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy

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arxiv hep-th/0611198 v3 pith:4CM7WRA3 submitted 2006-11-17 hep-th astro-phgr-qc

Guido Cognola , Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov , Sergio Zerbini This is my paper · ORCID
classification hep-thastro-phgr-qc
keywords mattergauss-bonnetsittertransitionuniverseaccelerationcasesdominance
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider scalar-Gauss-Bonnet and modified Gauss-Bonnet gravities and reconstruct these theories from the universe expansion history. In particular, we are able to construct versions of those theories (with and without ordinary matter), in which the matter dominated era makes a transition to the cosmic acceleration epoch. It is remarkable that, in several of the cases under consideration, matter dominance and the deceleration-acceleration transition occur in the presence of matter only. The late-time acceleration epoch is described asymptotically by de Sitter space but may also correspond to an exact $\Lambda$CDM cosmology, having in both cases an effective equation of state parameter $w$ close to -1. The one-loop effective action of modified Gauss-Bonnet gravity on the de Sitter background is evaluated and it is used to derive stability criteria for the ensuing de Sitter universe.

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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...

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    gr-qc 2026-08 reject novelty 5.0 of 10

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  4. ACT Data and Positive Running of the Spectral Index for Scalar Theory and Modified Gravity

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    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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    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...

  6. From Quantum Correlations to Inflationary Tracking Scalar Field Evolution

    gr-qc 2026-08 reject novelty 4.0 of 10

    The author argues, via condensed-matter-style analogies, that the inflationary tracking condition emerges when the correlation length of primordial quantum degrees of freedom scales as a power of the Hubble radius.

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    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    Four Einstein-Gauss-Bonnet inflationary models are reconstructed from a chosen tensor-to-scalar ratio and shown to satisfy ACT and GW170817 constraints including scalar perturbation amplitude.

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    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    Perturbative higher-curvature corrections in f(R,G) gravity shift the photon-sphere radius and black-hole shadow size away from Schwarzschild values, with the Gauss-Bonnet sector contributing more than mixed terms.

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    astro-ph.CO 2025-08 unverdicted novelty 4.0 of 10

    Models of interacting bosonic dark energy and fermionic dark matter in Einstein-scalar-Gauss-Bonnet gravity with exponential and power-law potentials are dynamically analyzed and constrained by observational data, sho...

  10. GW170817 Viable Einstein-Gauss-Bonnet Inflation Compatible with the Atacama Cosmology Telescope Data

    gr-qc 2025-06 conditional novelty 4.0 of 10

    Einstein-Gauss-Bonnet inflation models with tuned small couplings can reproduce the ACT scalar spectral index and the Planck tensor-to-scalar ratio bound while keeping the gravitational wave speed within the GW170817 limit.

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