Scalar Perturbation Spectra in an Emergent Cosmological Island
Yun-Song Piao

TL;DR
This paper explores scalar perturbation spectra in an emergent cosmological model where the universe originates from a cosmological constant sea, analyzing their potential role in structure formation.
Contribution
It investigates scalar field perturbations in a novel emergent universe scenario, assessing their impact on observable structure formation.
Findings
Scalar perturbations can be generated without affecting background evolution.
Perturbation spectra may be responsible for structure formation.
The model provides a new perspective on universe emergence from a cosmological constant sea.
Abstract
The possibility that the universe may have a fundamental and positive cosmological constant has motivated an interesting cosmological model, in which initially the universe is in a cosmological constant sea, then the local quantum fluctuations violating the null energy condition create some islands with matter and radiation, which under certain conditions might corresponds to our observable universe. We in this note study the perturbation spectra of scalar fields not affecting the evolution of background during the fluctuation. We will examine whether they can be interesting, and responsible for the structure formation of observable universe.
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