A stellar model with an electrically charged anisotropic fluid as a source of matter is presented. The radial pressure is described by a Chaplygin state equation, Pr(ρ) = μc2ρ − ν/(c2ρ), while the anisotropy Δ ≡ Pt − Pr = r2f(r) is annulled in the center of the star (f(r) is regular and f(0)≠0), the electric field, is also annulled in the center. The density pressures and the tangential speed of sound are regular, while the radial speed of sound is monotonically increasing. The model is physically acceptable and meets the stability criteria of Harrison–Zeldovich–Novikov and in respect of the cracking concept the solution is unstable in the region of the center and potentially stable near the surface. A graphic description is presented for the case of an object with a compactness rate u = 0.27336, mass M = 1.77M⊙ and radius R = 9.56 km that matches the star Vela X-1. Also, the interval of the central density ρc ∈ [1.176977292, 1.308791129]1018kg/m3, which is consistent with the expected magnitudes for this type of stars, which shows that the behavior is accurate for describing compact objects.

中文翻译：

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具有 Chaplygin 状态方程的各向异性带电流体

提出了一个以带电各向异性流体为物质源的恒星模型。径向压力由 Chaplygin 状态方程描述，磷r(ρ) = μC2ρ - ν/(C2ρ), 而各向异性Δ ≡ 磷吨 - 磷r = r2F(r)在星的中心被取消(F(r)是规律的并且F(0)≠0)，电场，也在中心被取消。密度压力和切向声速是有规律的，而径向声速是单调递增的。该模型在物理上是可以接受的，并且满足 Harrison-Zeldovich-Novikov 的稳定性标准，并且就开裂概念而言，该解决方案在中心区域不稳定，而在表面附近可能稳定。针对具有紧凑率的对象的情况给出了图形描述你 = 0.27336， 大量的米 = 1.77米⊙和半径R = 9.56 公里，与星 Vela X-1 相匹配。此外，中心密度的区间ρC ∈ [1.176977292, 1.308791129]1018公斤/米3，这与此类恒星的预期星等一致，这表明该行为对于描述致密天体是准确的。