Slow-roll inflation with a Gauss-Bonnet correction

Details Slow-roll inflation with a Gauss-Bonnet correction Slow-roll inflation with a Gauss-Bonnet correction

2010-01-12

arxiv.org/abs/1001.1897v2

Phys. Rev. D81: 123520, 2010

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 2 figures, RevTeX, references added, published version

Scientific paper

10.1103/PhysRevD.81.123520

We consider slow-roll inflation for a single scalar field with an arbitrary potential and an arbitrary nonminimal coupling to the Gauss-Bonnet term. By introducing a combined hierarchy of Hubble and Gauss-Bonnet flow functions, we analytically derive the power spectra of scalar and tensor perturbations. The standard consistency relation between the tensor-to-scalar ratio and the spectral index of tensor perturbations is broken. We apply this formalism to a specific model with a monomial potential and an inverse monomial Gauss-Bonnet coupling and constrain it by the 7-year Wilkinson Microwave Anisotropy Probe data. The Gauss-Bonnet term with a positive (or negative) coupling may lead to a reduction (or enhancement) of the tensor-to-scalar ratio and hence may revive the quartic potential ruled out by recent cosmological data.

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