Fe. Schunck et Ew. Mielke, A NEW METHOD OF GENERATING EXACT INFLATIONARY SOLUTIONS, Physical review. D. Particles and fields, 50(8), 1994, pp. 4794-4806
The mechanism of the initial inflation of the universe is based on gra
vitationally coupled scalar fields phi. Various scenarios are distingu
ished by the choice of an effective self-interaction potential U(phi)
which simulates a temporarily nonvanishing cosmological term. Using th
e Hubble expansion parameter H as a new ''time'' coordinate, we can fo
rmally derive the general Robertson-Walker metric for a spatially flat
cosmos. Our new method provides a classification of allowed inflation
ary potentials and is broad enough to embody all known exact solutions
involving one scalar field as special cases. Moreover, we present new
inflationary and deflationary exact solutions and can easily predict
the influence of the form of U(phi) on density perturbations.