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Description
In this article, we analyze a class of compact object in spheroidal geometry described by Vaidya–Tikekar model and MIT bag equation of state considering the finite value of strange quark mass $(m_s)$. The maximum mass and radius is evaluated by maximizing the radial sound velocity $(v_r^2)$ at the centre of the star. For monotonically decreasing nature of the sound velocity, it is noted that an upper limit of the spheroidal parameter $(\lambda)$ exists. Therefore, to calculate maximum mass, arbitrary choice of $(\lambda)$ is not allowed. The effect of strange quark mass on the maximum mass is found to satisfy previously obtained result (Li et al 2021 Eur. Phys. J. C 81 921). We consider the compact stars 4U 1608-52 and 4U 1820-30 to study the relevant properties in this approach. The stability of strange quark matter inside these compact objects is explored by taking different values of the bag constant $B$. It is found that 4U 1608-52 may be categorized as strange star with wider stability window for three-flavor (u, d, s) quark matter whereas 4U 1820-30 only shows metastability. The model is found to be stable against small radial perturbation.
| pkc020276@gmail.com | |
| Affiliation | Cooch Behar Panchanan Barma University |
