论文标题
采用A-Metric：对爱因斯坦真空场方程的一些已知解决方案的解释
Take the A-Metric: Interpretations of Some Known Solutions of Einstein's Vacuum Field Equations
论文作者
论文摘要
在这项工作中，我们提出了一种新的解释，对带有平面对称性的爱因斯坦磁场方程的唯一静态真空解决方案（Taub溶液）。该解决方案是$ AIII $类别的成员，以及D型Kasner解决方案。这些解决方案的各种解释先前已经在文献中提出，但是，其中一些解释具有可疑的特征，并且通常不被视为物理。使用简单的数学分析，我们表明对Taub溶液的新解释是可能的，并且自然而然地来自负质量Schwarzschild时空的径向，近乎感性的极限。还给出了一种新的，更透明的推导，表明D型Kasner指标可以解释为正质量Schwarzschild黑洞内的时空深处。因此，证明了这类$ a $ a-metrics的双重性质。
In this work, we present a new interpretation of the only static vacuum solution of Einstein's field equations with planar symmetry, the Taub solution. This solution is a member of the $AIII$ class of metrics, along with the type D Kasner solution. Various interpretations of these solutions have been put forward previously in the literature, however, some of these interpretations have suspect features and are not generally considered physical. Using a simple mathematical analysis, we show that a novel interpretation of the Taub solution is possible and that it naturally emerges from the radial, near-singularity limit of negative-mass Schwarzschild spacetime. A new, more transparent derivation is also given showing that the type D Kasner metric can be interpreted as a region of spacetime deep within a positive-mass Schwarzschild black hole. The dual nature of this class of $A$-metrics is thereby demonstrated.
