Slowly Rotating Proto Strange Stars in Quark Mass Density- And Temperature-Dependent Model

Abstract

Employing the Quark Mass Denisity-and temperature-dependent model and the Hartle's method, We have studied the slowly rotating strange star with uniform angular velocity. The mass-radius relation, the moment of inertia and the frame dragging for different frequencies are given. We found that we cannot use the strange star to solve the challenges of Stella and Vietri for the horizontal branch oscillations and the moment of inertia I 45 /(M/M s ) > 2.3. Furthermore, we extended the Hartle's method to study the differential rotating strange star and found that the differential rotation is an effective way to get massive strange star.

Slowly rotating neutron stars and hadronic stars in the chiral SU(3) quark mean-field model

“…The reason is that the crust is not considered in Ref. [16], so similar behavior is observed in our Fig.2. When the star is very small, the crust thickness becomes important, which will change the shape of the M -R curve significantly.…”

“…One significant distinctness of the strange quark star is that its M -R curve has different direction from the other three types at small M , as was shown in Fig.2 of Ref. [16]. The reason is that the crust is not considered in Ref.…”

Improved density-dependent quark mass model with quark-σ meson and quark-ω meson couplings

“…and when T T C , m q = 0, m s,s = m s0 , This quark mass density-and temperature-dependent model (QMDTD) has been employed to discuss the properties of strange quark matter [14,16], the dibaryon system [19], and the strange quark star [20,21]. Instead of the correspondence of MIT bag to the QMDD model, we have proved that QMDTD model mimicks the Freidberg-Lee (FL) soliton bag model [22,23].…”

Consistent thermodynamic treatment for a quark-mass density-dependent model

“…many physical properties of strange quark matter [12,13,14,15,16,17,18,19,20,21,22,23,24,25] and strange quark star [26,27] have been studied, and the results are in good agreement with those given by MIT bag model [28].…”

“…(31) also conflicts with the requirement in Eq. (27), then the inconsistency of the traditional treatment with partial derivative is transparent.…”