论文标题
用GR的新的精确内部溶液进行固定的固定固定旋转各向异性圆柱体的研究。 2。有关轴压的更多信息
Study of stationary rigidly rotating anisotropic cylindrical fluids with new exact interior solutions of GR. 2. More about axial pressure
论文作者
论文摘要
本文是专门研究空间研究的系列中的第二篇，该空间是由固定的流体固定圆柱来提出的，该圆柱是在其对称轴周围旋转的固定缸，并通过使用新的一般相对性的新精确内部溶液表现出各向异性压力。该配置专门针对三种不同的情况，在这种情况下，压力与每个主应力并驾齐驱。该系列中的两篇文章显示了轴向压法案的分析。实际上，论文1中发表的第一个轴向类只是一种特殊情况。在这里回忆起，其属性得到了修订和补充。此外，还显示了一种旨在构建不同类别解决方案类别的完全通用方法。本文（论文2）中描述的方法代表了这项工作的关键结果。根据单个常数参数，它被示例并应用于两种新的解决方案。其中一个（表示为A类表示）被证明可以通过完全实现的精确解决方案来验证所有需要满足的条件：轴对称和规律性条件，与外部真空相匹配，适当的度量标志，弱和强的能量条件。展示了其他属性和一般规则，有些阐明了相当长的问题。提出了天体物理和物理应用。
This article is the second in a series devoted to the study of spacetimes sourced by a stationary cylinder of fluid rigidly rotating around its symmetry axis and exhibiting an anisotropic pressure by using new exact interior solutions of General Relativity. The configurations have been specialized to three different cases where the pressure is on turn directed alongside each principal stress. The two first articles in the series display the analysis of the axial pressure case. Indeed, the first axial class published in Paper 1 is merely a special case. It is recalled here and its properties are revised and supplemented. Moreover, a fully general method aiming at constructing different classes of such solutions is displayed. This method described in the present paper, Paper 2, represents a key result of this work. It is exemplified and applied to two new classes of solutions depending on a single constant parameter. One of them, denoted Class A, is shown to verify every conditions needing to be satisfied by a fully achieved set of exact solutions: axisymmetry and regularity conditions, matching to an exterior vacuum, proper metric signature, weak and strong energy conditions. Other properties and general rules are exhibited, some shedding light on rather longstanding issues. Astrophysical and physical applications are suggested.
