Dependence of Inflationary Reconstruction upon Cosmological Parameters

Details Dependence of Inflationary Reconstruction upon Cosmological Parameters Dependence of Inflationary Reconstruction upon Cosmological Parameters

1995-12-22

arxiv.org/abs/astro-ph/9512155v1

Phys.Rev.D53:6822-6828,1996

Astronomy and Astrophysics

Astrophysics

15 pages, LaTeX, 3 postscript figures (included with epsf), submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.53.6822

The inflationary potential and its derivatives determine the spectrum of scalar and tensor metric perturbations that arise from quantum fluctuations during inflation. The CBR anisotropy offers a promising means of determining the spectra of metric perturbations and thereby a means of constraining the inflationary potential. The relation between the metric perturbations and CBR anisotropy depends upon cosmological parameters -- most notably the possibility of a cosmological constant. Motivated by some observational evidence for a cosmological constant (large-scale structure, cluster-baryon fraction, measurements of the Hubble constant and age of the Universe) we derive the reconstruction equations and consistency relation to second order in the presence of a cosmological constant. We also clarify previous notation and discuss alternative schemes for reconstruction.

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