A quintessence type interior solution with Karmarkar condition

Abstract

In this report, we present an interior solution to Einstein’s equations in a spherically symmetric and static spacetime filled by two sources with anisotropic pressures, one of these of ordinary matter for which the radial pressure is described by the MIT Bag state equation associated to the presence of quarks and the other by non-ordinary quintessence type matter. The solution is obtained from imposing the Karmarkar condition considering a metric function [Formula: see text] resulting in a physically acceptable, stable and adequate model to represent compact objects with compactness rate [Formula: see text]. Which allows to take different value of mass and radius in the range of the observational data of mass [Formula: see text] and radius [Formula: see text] of the star 4U1608-52 with compactness [Formula: see text], from these data we determine the range of [Formula: see text].

A charged star with geometric Karmarkar condition

“…Later on, it was employed in the representation of a model composed of ordinary matter and quintessence type matter [75], and these results increase the possibility that the function (12) is useful for generating new physically acceptable models. On the other hand, part of the reason for the functionality of this choice to describe the interior of the stars is the characteristics that satisfy λ, or g rr = e λ , in a region r ä [0, a), near to the center of the star…”