A mathematical analysis of the evolution of perturbations in a modified Chaplygin gas model

Abstract

One approach in modern cosmology consists in supposing that dark matter and dark energy are different manifestations of a single `quartessential' fluid. Following such idea, this work presents a study of the evolution of perturbations of density in a flat cosmological model with a modified Chaplygin gas acting as a single component. Our goal is to obtain properties of the model which can be used to distinguish it from another cosmological models which have the same solutions for the general evolution of the scale factor of the universe, without the construction of the power spectrum. Our analytical results, which alone can be used to uniquely characterize the specific model studied in our work, show that the evolution of the density contrast can be seen, at least in one particular case, as composed by a spheroidal wave function. We also present a numerical analysis which clearly indicates as one interesting feature of the model the appearence of peaks in the evolution of the density constrast.

21 pages, accepted for publication in General Relativity and Gravitation

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• Impact of generalized dissipative coefficient on warm inflationary dynamics in the light of latest Planck data
• Simplified Quartessence Cosmology
• Quintessential Phenomena in Higher Dimensional Space Time
• A Study of Universal Thermodynamics in Lanczos-Lovelock gravity
• Warm Modified Chaplygin Gas Shaft Inflation
• Evolving Cosmic Scenario in Modified Chaplygin Gas with Adiabatic Matter Creation
• Observational Constraints on Chaplygin Gas Models in Non-Minimally Coupled Power Law $f(Q)$ Gravity with Quasars
• Emergent Universe Scenario in the Modified Chaplygin gas : Towards an Exact Solution and Observational Constraints