Kinematic Constraints to the Key Inflationary Observables

Abstract

The observables $T/S$ and $n-1$ are key to testing and understanding inflation. ($T$, $S$, and $n-1$ respectively quantify the gravity-wave and density-perturbation contributions to CMB anisotropy and the deviation of the density perturbations from the scale-invariant form.) Absent a standard model, there is no definite prediction for, or relation between, $T/S$ and $n-1$. By reformulating the equations governing inflation we show that models generally predict $T/S\approx -5(n-1)$ or 0, and in particular, if $n>0.85$, $T/S$ is expected to be $>10^{-3}$.

11 pages LaTeX with 4 eps figures, submitted to Phys. Rev. Lett

References in corpus (9)

• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• k-Inflation
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Cosmology from Maxima-1, Boomerang and COBE/DMR CMB Observations
• First Estimations of Cosmological Parameters From BOOMERANG
• Characterizing the Peak in the CMB Angular Power Spectrum
• New Constraints on inflation from the Cosmic Microwave Background
• Inflationary models with a flat potential enforced by non-abelian discrete gauge symmetries
• On the degree of scale invariance of inflationary perturbations

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