Analytical approximations for primordial power spectra in a spatially closed emergent universe
arXiv:2203.06447 · doi:10.1016/j.dark.2022.101124
Abstract
The emergent universe scenario was proposed to solve the big bang singularity by suggesting that the universe originates from an Einstein static state and then evolves into a subsequently inflationary era. Thus, to find the relic of the existence of the Einstein static state becomes a crucial work. In this paper, we derive analytical approximation of the primordial power spectra and analyze the CMB TT-spectra for the spatially closed emergent universe. After analyzing the CMB TT-spectrum of the emergent universe scenario, we find that both the CMB TT-spectra produced by the Einstein static state followed by the ultraslow-roll inflationary epoch (method I) and by a special evolution of the scale factor in the emergent scenario as (method II) are suppressed at , and their spectra are nearly identical. Additionally, by comparing the spectra of the emergent universe scenario with the ones of the ultraslow-roll inflationary model in the closed universe, we find that the CMB TT-spectrum of the emergent universe is similar to the one of the inflationary model with the special case .
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- Emergent Universe Model from Modified Heisenberg Algebra
- CMB power spectrum in the emergent universe with k-essence
- CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
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