A Brachistochrone Approach to Reconstruct the Inflaton Potential

Details A Brachistochrone Approach to Reconstruct the Inflaton Potential A Brachistochrone Approach to Reconstruct the Inflaton Potential

2010-12-09

arxiv.org/abs/1012.2118v2

JCAP04(2011)026

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

13 pages, 2 figures, version matches published version

Scientific paper

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 $H(\phi)$ without taking the slow-roll approximation. At lowest non-trivial order, this $H(\phi)$ has the unique property that it is the solution to the brachistochrone problem for inflation.

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