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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

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

classification hep-th astro-phgr-qc
keywords mattergauss-bonnetsittertransitionuniverseaccelerationcasesdominance
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 6 Pith papers

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

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

    gr-qc 2026-05 unverdicted novelty 5.0

    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.

  2. Reconstructing ACT-compatible and GW170817-compatible Einstein-Gauss-Bonnet Inflation from the Observational Indices

    gr-qc 2026-05 unverdicted novelty 4.0

    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.

  3. Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity

    gr-qc 2026-05 unverdicted novelty 4.0

    Perturbative f(R, G) corrections shift the photon-sphere radius and black-hole shadow size, with the Gauss-Bonnet sector contributing more than mixed terms.

  4. Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity

    gr-qc 2026-05 unverdicted novelty 4.0

    Perturbative f(R,G) corrections shift the photon-sphere radius and shadow size, with the Gauss-Bonnet term dominating over mixed curvature contributions.

  5. Interacting bosonic dark energy and fermionic dark matter in Einstein scalar Gauss-Bonnet gravity

    astro-ph.CO 2025-08 unverdicted novelty 4.0

    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...

  6. Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity

    gr-qc 2026-05 unverdicted novelty 3.0

    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.