GEOMETRY OF THE KERR BLACK HOLES
GEOMETRY OF THE KERR BLACK HOLES
复制标题
克尔黑洞的几何结构
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
T. Nam
中科院分区：
文献类型：
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作者：
A. Hoang;T. Nam
在本文中，我们将探索克尔时空的几何结构，这是广义相对论中爱因斯坦方程的解。我们将首先给出物理和数学动机，并使用洛伦兹向量空间、测地线和里奇曲率张量等微分几何的对象和思想来勾画广义相对论的结构。对爱因斯坦方程的几个解（包括闵可夫斯基、史瓦西和克尔度量张量）进行简短处理，然后对克尔解进行更详细的分析，从而得出旋转黑洞的数学模型和有趣的可能性，例如时间机器。
In this paper, we will explore the geometry of the Kerr spacetime, a solution to the Einstein Equation in general relativity. We will first give physical and mathematical motivations, and sketch the constructions for the theory of general relativity using objects and ideas from differential geometry such as Lorentz vector spaces, geodesics, and Ricci curvature tensor. A short treatment of several solutions to the Einstein Equation, including the Minkowski, Schwarzschild, and Kerr metric tensors, will be followed by a more detailed analysis of the Kerr solution, which leads to the mathematical model of rotating black holes and interesting possibilities such as time machine.