Chaplygin strange stars in presence of quintessence
Abstract
Starting from a regular, static and spherically symmetric spacetime, we present a stellar model formed by two sources of ordinary and quintessence matter both with anisotropic pressures. The ordinary matter, with density ρ, is formed by a fluid with a state equation type Chaplygin Pr(ρ)=μc2ρ−ν/(c2ρ) for the radial pressure. And the quintessence matter, with density ρq, has a state equation Pr(ρq)=−c2ρq for the radial pressure and Pr(ρq)=−(1+3w)c2ρq/2 for the tangential pressure with −1<w<−13. The model satisfies the required conditions to be physically acceptable and additionally the solution is potentially stable, i.e. v2t−v2r<0 according to the cracking concept, and it also satisfies the Harrison–Zeldovich–Novikov criteria. We describe in a graphic manner the behavior of the solution for the case in which the mass is 1.3M⊙ and radius R=8.849km which matches the star EXO 1785-248, from where we obtain the maximum density ρc=1.2065 1018kg/m3 for the values of the parameters μ=0.15535, w=−0.33334.
