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 grr=[1+Car2arctan2(d+ar2)]−1 resulting in a physically acceptable, stable and adequate model to represent compact objects with compactness rate u=GMc2R≲13. Which allows to take different value of mass and radius in the range of the observational data of mass M=(1.74±0.14)M⊙ and radius R=9.3±1.0km of the star 4U1608-52 with compactness u=0.32044, from these data we determine the range of Bg∈[89.85,113.95]MeV/fm3.
