Visiting Fellow: Professor N. O. Santos

为了更深入地理解爱因斯坦的广义相对论，重要的是要澄清某些代表圆柱或轴对称时空的精确解族的物理解释。我们将研究三种情况：（1）具有微分转动或平动的真空圆柱对称时空。(2)一个奇异的稳态轴对称时空族，在特定的极限中包含史瓦西时空。(3)一种复合时空，其内部是由哥德尔解描述的旋转流体圆柱体，外部包含负的宇宙学常数。在所有情况下，该项目的目的是调查这些家庭的解决方案的物理性质和它们所包含的参数的意义。

In seeking a deeper understanding of Einstein's theory of general relativity, it is important to clarify the physical interpretation of certain families of exact solutions which represent cylindrically or axially symmetric space-times. Three cases will be investigated: (1) A vacuum cylindrically symmetric space-time with differential rotation or translation. (2) A family of singular stationary axially symmetric space-times that includes the Schwarzschild space-time in a particular limit. (3) A compound space-time for which the interior is a cylinder of rotating fluid described by the Godel solution, and the exterior contains a negative cosmological constant. In all cases, the aim of the project is to investigate the physical properties of these families of solutions and the meaning of the parameters they contain.