Strange star model in higher dimensions (D ≥ 4) with density dependent B in pseudo-spheroidal geometry

In this paper, we have developed a class of new solutions for relativistic compact stars in higher-dimensional Formula: see text space-time assuming pseudo-spheroidal geometry of the Formula: see text metric component. To study the physical properties, we consider equation of state of interior strange matter Formula: see text, as proposed in MIT bag model in the presence of a density-dependent Formula: see text parameter. The interior matter of a quark star may consist of three flavor quarks. We observe some interesting results. The parameter Formula: see text depends on the anisotropy Formula: see text in the interior, and at the stellar surface, Formula: see text attains a constant value independent of Formula: see text. At the interior, Formula: see text increases with the increase of Formula: see text. We also note that the value of B approaches a constant value with increasing spheroidal parameter Formula: see text. Formula: see text also depends on space-time dimensions and it is interesting to note that Formula: see text picks up negative values near core region which limits the number of space-time dimensions available for a stellar model. All the stability criterion and energy conditions hold good for a physically realistic stellar configuration. It is observed that strange quark matter may be stable or metastable or unstable depending upon the value of energy per baryon Formula: see text. Strange quark matter will be stable if energy per baryon Formula: see text. It is noted that the maximum mass obtainable in this model is Formula: see text considering stable strange quark matter when dimension Formula: see text. In addition, we observe that the dimensions have some effect on the gross properties of strange stars (SS).