Hybrid star with finite strange quark mass: favouring some recent observational results

In this article, we explore the properties of hybrid star composed of deconfined quarks and dark energy considering finite value of mass of strange quark ($m_s\neq0$). We have studied the various properties of such stars assuming a linear relation between dark energy pressure and density as $p^{de}=\omega\rho^{de}$, where $-1<\omega<-\frac{1}{3}$, within the framework of Finch-Skea ansatz of $g_{rr}$ component of line element by varying the dark energy coupling parameter ($\beta$). In this model, $\frac{\beta}{1+\beta}$ represents the percentage of dark energy. Following the relation $\rho^{de}=\beta\rho^Q$, we have noted some restriction on the coupling parameter $\beta$ as $0<\beta<-\frac{1}{3\omega}$. It is interesting to note that with the change of percentage composition of dark energy, there is a prominent change of phase within in such stars. Solving TOV equations, the maximum mass attainable in this model is $\approx2~M_{\odot}$ and radius $11.37~km$. Both mass and radius decrease with the increase of $m_s$ and $\beta$ for constant $\omega$. On the other hand, maximum mass increases with the decrease of $\omega$. Various stability conditions along with causality and energy conditions are studied and found to be in agreement with the conditions of a viable stellar model. We have predicted the radii of recently observed compact stars and lighter component of the GW event $170817$ and it is interesting to note that the predicted radius of the model is close to the estimated value of the radius from observations.
Comment: 25 pages, 20 figures