On the correspondence between theory and observations in inflationary cosmology

Physics

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Scientific paper

We study the dynamical correspondence between the scalar fluctuation spectrum and the inflationary potential V(φ) and consider a power law spectrum with index β as an example. We show that for the range of β relevant to the interpretation of COBE observations, this correspondence is fragile, in the sense that small changes in β could produce dramatic changes in the corresponding V(φ). This is of potential significance for the reconstruction of V(φ) from such observations and also in the wider context of inflationary models in which V(φ) is specially chosen to produce a desired spectrum and dynamics.

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