Habib S, Heitmann K, Jungman G. Inverse-scattering theory and the density perturbations from inflation.
PHYSICAL REVIEW LETTERS 2005;
94:061303. [PMID:
15783718 DOI:
10.1103/physrevlett.94.061303]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/24/2004] [Indexed: 05/24/2023]
Abstract
We show how to use inverse-scattering theory as the basis for the inflationary reconstruction program, the goal of which is to gain information about the physics which drives inflation. Inverse-scattering theory provides an effective and well-motivated procedure, having a sound mathematical basis and being of sufficient generality that it can be considered the foundation for a nonparametric reconstruction program. We show how simple properties of the power spectrum translate directly into statements about the evolution of the background geometry during inflation.
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