An exact inflationary solution in the chaotic model with non-minimal coupling

This paper presents a new exact inflationary solution to the non-minimally coupled scalar field. The inflation is driven by the evolution of a scalar field with inflation potential V(phi) = (lambda/4)phi(4) vertical bar b(1)phi(2) vertical bar b(2) vertical bar b(3)phi(-2) vertical bar b(4 phi)(-4). The spectral index of the scalar density fluctuations n(s) is consistent with the result of WMAP3 (Wilkinson Microwave Anisotropy Probe 3) for Lambda CDM (Lambda-Cold Dark Matter). This model relaxes the constraint to the quartic coupling constant. And it can enter smoothly into a radiation-dominated stage when inflation ends.