Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 5, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2017/05/021
Keywords
cosmological perturbation theory; inflation; physics of the early universe; CMBR theory
Funding
- NSF [PHY-1505411]
- Eberly research funds of Penn State
- CNPq, Brazil
- National Science Foundation [ACI-1053575]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1505411] Funding Source: National Science Foundation
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In a recent paper [17], we studied the evolution of the background geometry and scalar perturbations in an inflationary, spatially closed Friedmann-Lemaitre-Robertson-Walker (FLRW) model having constant positive spatial curvature and spatial topology S-3. Due to the spatial curvature, the early phase of slow-roll inflation is modified, leading to suppression of power in the scalar power spectrum at large angular scales. In this paper, we extend the analysis to include tensor perturbations. We find that, similarly to the scalar perturbations, the tensor power spectrum also shows suppression for long wavelength modes. The correction to the tensor spectrum is limited to the very long wavelength modes, therefore the resulting observable CMB B-mode polarization spectrum remains practically the same as in the standard scenario with flat spatial sections. However, since both the tensor and scalar power spectra are modified, there are scale dependent corrections to the tensor-to-scalar ratio that leads to violation of the standard slow-roll consistency relation.
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