磁流体动力学、暗能量和闭合磁流曲线：天体物理学致密天体族
Magnetohydrodynamics, Dark Energy and Closed Null Curves: Towards a Family of Astrophysical Compact Objects
摘要：
从一个静态的、球对称的、包含临界（不稳定）闭零测地线的时空出发，通过求解能量-动量张量的爱因斯坦方程，得到了一族非孤立致密天体的平衡态模型，该模型具有理想气体状态方程、暗能量和磁场。所有这些源场都由简单的、单调递减的数学函数描述。两个未知的度量元素中的任何一个都没有进行任何计算;零曲线几何产生一个，另一个来自磁场矢量的简化。度量元素在各处都没有奇点和视界，尽管它们的逆元在原点是奇异的。整个度规在无穷远处呈现洛伦兹形式。这个模型的几何结构，以及基本的量子考虑，要求径向坐标必须总是大于零，从而避免了原点的物理奇点。
英文摘要：
Starting with a static, spherically symmetric spacetime incorporating critical (unstable) closed null geodesics, a family of models for equilibrium states of non-isolated compact objects is obtained by solving the Einstein equations for an energy-momentum tensor featuring a perfect fluid with ideal-gas equation of state, dark energy, and a magnetic field. All of these source fields are described by simple, monotonically decreasing mathematical functions. No ansatz is made for either of the two unknown metric elements;the null curve geometry yields one, and the other follows from a simplification of the magnetic field vector. The metric elements are free of singularities and horizons everywhere, although their inverses are singular at the origin. The entire metric assumes its Lorentzian form at infinity. The geometry of this model, as well as fundamental quantum considerations, require that the radial coordinate must always be greater than zero, thereby obviating the physical singularity at the origin.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
