On the perturbation theory in spatially closed background

Abstract

In this article,we investigate some features of the perturbation theory in spatially closed universe. We will show that the perturbative field equations in a spatially closed universe always have two independent adiabatic solutions provided that the wavelengths of perturbation modes are very longer than the Hubble horizon. It will be revealed that these adiabatic solutions do not depend on the curvature directly. We also propound a new interpretation for the curvature perturbation in terms of the unperturbed geometry.

arXiv comment25 pages,no figures,accepted for publiction in EPJC

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Cited by in corpus (7)

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• Slow-roll inflationary senario in the maximally extended background
• Signatures of Spatial Curvature on Growth of Structures
• An analytical approach to the CMB anisotropies in a Spatially Closed background
• Curvature and topology dependency of the cosmological spectra
• Detailed analysis of the curvature bounce: background dynamics and imprints in the CMB
• Imprints of intrinsic and exterior curvatures in cosmology