Anisotropic strange quark star in Finch-Skea geometry and its maximum mass for non-zero strange quark mass (m s ≠ 0)* *BD and KBG thank the CSIR for providing the fellowship vide No 09/1219(0005)/2019-EMR-I and 09/1219(0004)/2019-EMR-I, respectively.

Abstract

A class of relativistic astrophysical compact objects is analyzed in the modified Finch-Skea geometry described by the MIT bag model equation of state of interior matter, , where B is known as the bag constant. B plays an important role in determining the physical features and structure of strange stars. We consider the finite mass of the strange quark () and study its effects on the stability of quark matter inside a star. We note that the inclusion of strange quark mass affects the gross properties of the stellar configuration, such as maximum mass, surface red-shift, and the radius of strange quark stars. To apply our model physically, we consider three compact objects, namely, (i) VELA X-1, (ii) 4U 1820-30, and (iii) PSR J 1903+327, which are thought to be strange stars. The range of B is restricted from 57.55 to (), for which strange matter might be stable relative to iron (). However, we also observe that metastable and unstable strange matter depend on B and . All energy conditions hold well in this approach. Stability in terms of the Lagrangian perturbation of radial pressure is studied in this paper.