Imprint of spatial curvature on inflation power spectrum
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Date
2008
Authors
Massó, Eduard
Mohanty, Subhendra
Nautiyal, Akhilesh
Zsembinszki, Gabriel
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Abstract
If the universe had a large curvature before inflation there is a deviation from the scale invariant
perturbations of the inflaton at the beginning of inflation. This may have some effect on the
CMB anisotropy at large angular scales. We calculate the density perturbations for both open
and closed universe cases using the Bunch-Davies vacuum condition on the initial state. We use
our power spectrum to calculate the temperature anisotropy spectrum and compare the results
with the WMAP three year data. We find that our power spectrum gives a lower quadrupole
anisotropy when Ω
−
1
> 0, but matches the temperature anisotropy calculated from the standard
Ratra-Peebles power spectrum at large
l. The determination of spatial curvature from temperature
anisotropy data is not much affected by the different power spectra which arise from the choice of
different boundary conditions for the inflaton perturbation
.
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Physical Review D, 2008, vol. 78, núm. 4, p. 043534