Reconstructing the inflaton potential for an almost flat COBE spectrum

Details Reconstructing the inflaton potential for an almost flat COBE spectrum Reconstructing the inflaton potential for an almost flat COBE spectrum

1996-02-13

arxiv.org/abs/gr-qc/9602029v1

Phys.Rev. D52 (1995) 672-678

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages REVTeX, uuencoded with 7 postscript figures, uses psfig

Scientific paper

10.1103/PhysRevD.52.672

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 $\lambda $. By imposing a dependence $\lambda (n_s)$, 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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