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

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.

6 pages, 3 figures

References in corpus (7)

• Effective Field Theory for Inflation
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Gauss-Bonnet Inflation
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• High-Scale Inflation and the Tensor Tilt
• Early-time cosmological solutions in Einstein-scalar-Gauss-Bonnet theory

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