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arXiv · 1012.2118

A Brachistochrone Approach to Reconstruct the Inflaton Potential

Daniel Wohns·Jiajun Xu·S. -H. Henry Tye
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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 $H(\phi)$ 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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Daniel Wohns, Jiajun Xu, S. -H. Henry Tye. 2010-12-09. A Brachistochrone Approach to Reconstruct the Inflaton Potential. https://doi.org/10.1088/1475-7516/2011/04/026

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