An Exact Inflationary Solution to Non-Minimally Coupling

Abstract

We find a new exact inflationary solution to non-minimally coupled scalar field from a specific H (ϕ). The inflation is driven by the evolution of the scalar field with a new inflation potential. The spectral index of the scalar density fluctuations n s is consistent with the result of WMAP3 for the power-law flat CDM model. Our solution relaxes the constraint to the quartic coupling constant, e.g. when ξ = 10 3 , λ ≤ 8.9 × 10 −11 .