一类新的同时具有旋转和空间扭曲的LRS时空
New class of LRS spacetimes with simultaneous rotation and spatial twist
摘要：
建立了同时具有非零旋转和空间扭曲的局部旋转对称时空的一类新解的存在性，并给出了其存在性的充分必要条件.我们清楚地表明，这种解决方案的存在性要求非零和有界的热通量，这些解决方案是自相似的。我们提供了一个简短的算法，表明如何解决系统的场方程与给定的柯西数据的初始类空柯西曲面。最后，我们认为，这些解决方案可以用来作为一个第一近似从球对称研究旋转，不均匀，动态和辐射天体物理恒星。
英文摘要：
We establish the existence and find the necessary and sufficient conditions for a new class of solutions of Locally Rotationally Symmetric spacetimes that have non vanishing rotation and spatial twist simultaneously. We transparently show that the existence of such solutions demand non vanishing and bounded heat flux and these solutions are self similar. We provide a brief algorithm indicating how to solve the system of field equations with the given Cauchy data on an initial spacelike Cauchy surface. Finally we argue that these solutions can be used as a first approximation from spherical symmetry to study rotating, inhomogeneous, dynamic and radiating astrophysical stars.
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。
