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No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential

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arxiv 1512.00222 v1 pith:AUGKFKB2 submitted 2015-12-01 hep-th astro-ph.COgr-qc

Getbogi Hikmawan , Jiro Soda , Agus Suroso , Freddy P. Zen This is my paper · ORCID
classification hep-thastro-ph.COgr-qc
keywords inflationinflatongauss-bonnetkantipotentialinflationarymodelno-go
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Recently, an interesting inflationary scenario, named Gauss-Bonnet inflation, is proposed by Kanti et al.~\cite{Kanti:2015pda,Kanti:2015dra}. In the model, there is no inflaton potential but the inflaton couples to the Guass-Bonnet term. In the case of quadratic coupling, they find inflation occurs with graceful exit. The scenario is attractive because of the natural set-up. However, we show there exists the gradient instability in the tensor perturbations in this inflationary model. We further prove the no-go theorem for the Gauss-Bonnet inflation without an inflaton potential.

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Cited by 2 Pith papers

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  1. Inflaton Dynamics in Higher-Derivative Scalar-Tensor Theories of Gravity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    In the weakly coupled regime of a four-derivative scalar-tensor theory, large inflationary inhomogeneities decay just as in general relativity, and only finely tuned initial data can escape the effective field theory'...

  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.

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