In this article,a new class of solutions of Einstein-Maxwell field equations of relativistic strange quark stars obtained in dimensions D≥4,is shown.We assume that the geometry of space-time is pseudo-spheroid,embedd...In this article,a new class of solutions of Einstein-Maxwell field equations of relativistic strange quark stars obtained in dimensions D≥4,is shown.We assume that the geometry of space-time is pseudo-spheroid,embedded in Euclidean space of(D-1)dimensions.The MIT bag model equation of state(henceforth EoS)is employed to study the relevant properties of strange quark stars.For the causal and non-negative nature of the square of the radial sound velocity(vr2),we observe that some restrictions exist on the reduced radius(b/R),where R is a parameter related to the curvature of the space-time,and b is the radius of the star.The spheroidal parameter A used here defines the metric potential of the grrcomponent,which is pseudo-spheroidal in nature.We note that the pressure anisotropy and charge have some effects onλ.The maximum mass for a given surface density(ρs)or bag constant(B)assumes a maximum value in dimension D=5and decreases for other values of D.The generalized Buchdahl limit for a higher dimensional charged star is also obeyed in this model.We observe that in this model,we can predict the mass of a strange quark star using a suitable value of the electric charge(Q)and bag constant(B).Energy and stability conditions are also satisfied in this model.Stability is also studied considering the dependence of the Lagrangian perturbation of radial pressure(Δpr)on the frequency of normal modes of oscillations.The tidal Love number and tidal de-formability are also evaluated.展开更多
基金CSIR for providing fellowships vide no:09/1219(0004)/2019 EMR-I,CSIR for providing fellowships vide no:09/1219(0005)/2019 EMR-I。
文摘In this article,a new class of solutions of Einstein-Maxwell field equations of relativistic strange quark stars obtained in dimensions D≥4,is shown.We assume that the geometry of space-time is pseudo-spheroid,embedded in Euclidean space of(D-1)dimensions.The MIT bag model equation of state(henceforth EoS)is employed to study the relevant properties of strange quark stars.For the causal and non-negative nature of the square of the radial sound velocity(vr2),we observe that some restrictions exist on the reduced radius(b/R),where R is a parameter related to the curvature of the space-time,and b is the radius of the star.The spheroidal parameter A used here defines the metric potential of the grrcomponent,which is pseudo-spheroidal in nature.We note that the pressure anisotropy and charge have some effects onλ.The maximum mass for a given surface density(ρs)or bag constant(B)assumes a maximum value in dimension D=5and decreases for other values of D.The generalized Buchdahl limit for a higher dimensional charged star is also obeyed in this model.We observe that in this model,we can predict the mass of a strange quark star using a suitable value of the electric charge(Q)and bag constant(B).Energy and stability conditions are also satisfied in this model.Stability is also studied considering the dependence of the Lagrangian perturbation of radial pressure(Δpr)on the frequency of normal modes of oscillations.The tidal Love number and tidal de-formability are also evaluated.
