A Brachistochrone Approach to Reconstruct the Inflaton Potential
arXiv:1012.2118 · doi:10.1088/1475-7516/2011/04/026
Abstract
We propose a new way to implement an inflationary prior to a cosmological dataset that incorporates the inflationary observables at arbitrary order. This approach employs an exponential form for the Hubble parameter $H(Ï)$ without taking the slow-roll approximation. At lowest non-trivial order, this $H(Ï)$ has the unique property that it is the solution to the brachistochrone problem for inflation.
13 pages, 2 figures, version matches published version