New exact solutions for inflationary cosmological perturbations

Jérôme Martin, Dominik J. Schwarz
2001 Physics Letters B  
From a general ansatz for the effective potential of cosmological perturbations we find new, exact solutions in single-scalar-field inflation: a three parameter family of exact inflationary solutions that encompasses all exact solutions that have been known previously (power-law inflation, Easther's model, and a generalised version of Starobinsky's solution). The main feature of this new family is that the spectral indices are scale dependent.
doi:10.1016/s0370-2693(01)00071-5 fatcat:bami6wslung53dm42b7rusw2ly