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Reconstructing the inflaton potential for an almost flat COBE spectrum

Eckehard W. Mielke·Franz E. Schunck
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Abstract

Using the Hubble parameter as new `inverse time' coordinate ($H$-formalism), a new method of reconstructing the inflaton potential is developed also using older results which, in principle, is applicable to any order of the slow-roll approximation. In first and second order, we need three observational data as inputs: the scalar spectral index $n_s$ and the amplitudes of the scalar and the tensor spectrum. We find constraints between the values of $n_s$ and the corresponding values for the wavelength $λ$. By imposing a dependence $λ(n_s)$, we were able to reconstruct and visualize inflationary potentials which are compatible with recent COBE and other astrophysical observations. >From the reconstructed potentials, it becomes clear that one cannot find only one special value of the scalar spectral index $n_s$.

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BibTeXRIS

Eckehard W. Mielke, Franz E. Schunck. 1996-02-13. Reconstructing the inflaton potential for an almost flat COBE spectrum. https://doi.org/10.1103/physrevd.52.672

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