An equation of state for purely kinetic k-essence inspired by cosmic topological defects

Abstract

We investigate the physical properties of a purely kinetic k-essence model with an equation of state motivated in superconducting membranes. We compute the equation of state parameter $w$ and discuss its physical evolution via a nonlinear equation of state. Using the adiabatic speed of sound and energy density, we restrict the range of parameters of the model in order to have an acceptable physical behavior. Furthermore, we analyze the evolution of the luminosity distance $d_L$ with redshift $z$ by comparing (normalizing) it with the $\Lambda$CDM model. Since the equation of state parameter is $z$-dependent the evolution of the luminosity distance is also analyzed using the Alcock-Paczyński test.

19 pages, 13 figures, typos corrected and references added

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• A Viable Dark Fluid Model
• Screening and degenerate kinetic self-acceleration from the nonlinear freedom of reconstructed Horndeski theories
• Nonlinear Problems Inspired by the Born--Infeld Theory of Electrodynamics
• Perturbations and stability conditions of k-essence and kinetic gravity braiding models in two-field measure theory