Power spectrum for perturbations in an inflationary model for a closed universe

Abstract

We derive the power spectrum of primordial quantum fluctuations in an inflationary universe for curvature parameter $\mathcal{K}=1$. This is achieved through a Born--Oppenheimer type of approximation scheme from the Wheeler--DeWitt equation of canonical quantum gravity using gauge-invariant variables. Compared to the flat model, the closed model exhibits a deficit of power at large scales.

20 pages, 1 figure, Invited contribution to a Topical Collection in memory of Prof. T. Padmanabhan, final version

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Cited by in corpus (8)

• Observations in Quantum Cosmology
• Current data are consistent with flat spatial hypersurfaces in the $\Lambda$CDM cosmological model but favor more lensing than the model predicts
• Study of the Inflationary Spectrum in the Presence of Quantum Gravity Corrections
• Quantum initial conditions for curved inflating universes
• Lorentzian quantum cosmology with torsion
• Tilted non-spatially-flat inflation
• Geodesically Complete Curvature-Bounce Inflation
• What may come beyond the Wheeler-DeWitt approach?