Power-law inflation with a nonminimally coupled scalar field

Abstract

We consider the dynamics of power-law inflation with a nonminimally coupled scalar field $ϕ$. It is well known that multiple scalar fields with exponential potentials $V(ϕ)=V_0 {\rm exp}(-\sqrt{16π/p m_{\rm pl}^2} ϕ)$ lead to an inflationary solution even if the each scalar field is not capable to sustain inflation. In this paper, we show that inflation can be assisted even in the one-field case by the effect of nonminimal coupling. When $ξ$ is positive, since an effective potential which arises by a conformal transformation becomes flatter compared with the case of $ξ=0$ for $ϕ>0$, we have an inflationary solution even when the universe evolves as non-inflationary in the minimally coupled case. For the negative $ξ$, the assisted inflation can take place when $ϕ$ evolves in the region of $ϕ<0$ \.