Analytical reconstruction of equivalent purely kinetic k-essence description for \(c_s^2(w)\) barotropic fluid models

A novel approach to the class of cosmic barotropic fluids in which the speed of sound squared is defined as a function of the Equation of State parameter, so called \(c_s^2(w)\) models, is examined. For this class of models, a new analytical reconstruction method is introduced for finding their equi...

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Bibliographic Details
Published in:arXiv.org 2024-09
Main Authors: Perkovic, Dalibor, Stefancic, Hrvoje
Format: Article
Language:English
Subjects:
Closed form solutions
Equations of state
Equivalence
Mathematical analysis
Reconstruction
Online Access:Get full text
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Summary:A novel approach to the class of cosmic barotropic fluids in which the speed of sound squared is defined as a function of the Equation of State parameter, so called \(c_s^2(w)\) models, is examined. For this class of models, a new analytical reconstruction method is introduced for finding their equivalent purely kinetic k-essence formulation. The method is explicitly demonstrated for several \(c_s^2(w)\) models. The application of the obtained explicit or closed form solutions in understanding dark sector unification models is discussed.
ISSN:2331-8422