We obtain a new exact analytical solution to the Einstein–Maxwell field equations with anisotropic matter. The solution describes the interior of anisotropic, electrically charged strange quark stars with a non-linear equation-of-state. We show the behavior of the solution graphically, and we determine the properties of the star (radius, mass, electric charge and compactness) for specific numerical values of the parameters involved. Finally, we check that causality is not violated, and that the energy conditions, the upper bound on the compactness of the stars, and constraints on the mass of the objects coming from observed massive pulsars and direct detection of gravitational waves are all fulfilled.

中文翻译：

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具有各向异性物质的带电奇异夸克星：精确解析解

我们获得了具有各向异性物质的爱因斯坦-麦克斯韦场方程的新精确解析解。该解用非线性状态方程描述了各向异性、带电的奇异夸克星的内部。我们以图形方式显示解的行为，并针对所涉及参数的特定数值确定恒星的属性（半径、质量、电荷和致密性）。最后，我们检查因果关系没有被违反，并且能量条件、恒星紧密度的上限、来自观测到的大质量脉冲星的物体质量的约束和引力波的直接探测都满足。