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's range of validity.
No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
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abstract
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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Inflaton Dynamics in Higher-Derivative Scalar-Tensor Theories of Gravity
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's range of validity.