Slow-roll inflation with a Gauss-Bonnet correction

Jan, 2010
6 pages
Published in:
  • Phys.Rev.D 81 (2010) 123520
e-Print:
Report number:
  • BI-TP-2010-01

Citations per year

20102014201820222025051015
Abstract: (arXiv)
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.
Note:
  • 7 pages, 2 figures, RevTeX, references added, published version
  • 98.80.Jk
  • 98.80.Cq
  • 04.62.+v
  • perturbation: tensor
  • power spectrum: scalar
  • coupling: nonminimal
  • field theory: scalar
  • Gauss-Bonnet term
  • inflation
  • slow-roll approximation