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Dynamical analysis for a scalar-tensor model with Gauss-Bonnet and non-minimal couplings

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arxiv 1710.04760 v1 pith:IC5VEOJC submitted 2017-10-13 gr-qc

L. N. Granda , D. F. Jimenez This is my paper · ORCID
classification gr-qc
keywords functionsphantomsolutionsasymptoticcouplingcouplingsexponentialgauss-bonnet
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We study the autonomous system for a scalar-tensor model of dark energy with Gauss-Bonnet and non-minimal couplings. The critical points describe important stable asymptotic scenarios including quintessence, phantom and de Sitter attractor solutions. Two functional forms for the coupling functions and the scalar potential were considered: power-law and exponential functions of the scalar field. For the exponential functions the existence of stable quintessence, phantom or de Sitter solutions, allows an asymptotic behavior where the effective Newtonian coupling becomes constant. The phantom solutions could be realized without appealing to ghost degrees of freedom. Transient inflationary and radiation dominated phases can also be described.

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Cited by 2 Pith papers

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

  1. Towards Stochastic Inflation in Higher-Curvature Gravity

    gr-qc 2025-06 unverdicted novelty 5.0 of 10

    Stochastic inflation with Gauss-Bonnet coupling to the inflaton yields first-passage-time estimates of the scalar power spectrum and PBH mass fraction in slow-roll and ultra-slow-roll limits.

  2. Gauss-Bonnet-induced symmetry breaking/restoration during inflation

    hep-th 2025-02 conditional novelty 4.0 of 10

    A Gauss-Bonnet coupling can flip a scalar field's effective mass sign during inflation, triggering symmetry breaking or restoration mid-inflation while leaving the inflationary background and its CMB predictions essen...

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