Application of Riemann-Hilbert Techniques To Problems Involving Stationary Axisymmetric Perfect Fluid Sources

* 9800091Ernst最近纽介堡和迈内尔发现了一个精确的整体解决方案的静态轴对称爱因斯坦场方程对应于一个刚性旋转磁盘的尘埃已经创造了新的兴趣，解决问题的旋转完美的流体机构。 Ernst博士和豪瑟博士将把他们的齐次希尔伯特问题（HHP）技术应用于考虑静止轴对称旋转源引起的匹配问题。为了识别牛顿理论中旋转的齐次麦克劳林椭球体的一些有用的相对论模拟，Ernst博士和豪瑟博士将研究流体解在某些约束条件下的变化[例如，保持一定的状态方程]。 特别是，他们将研究那些保持渐近平坦和无奇性的外部解存在的变化。

***9800091ErnstThe recent discovery by Neugebauer and Meinel of an exact global solution of the stationary axisymmetric Einstein field equations corresponding to a rigidly rotating disk of dust has created renewed interest in solving problems related to spinning perfect fluid bodies. Dr. Ernst and Dr. Hauser will apply their homogeneous Hilbert problem (HHP) technology to the matching problem to which consideration of stationary axisymmetric spinning sources gives rise.With the objective of identifying some useful relativistic analog of the rotating homogeneous Maclaurin ellipsoids of Newtonian theory, Dr. Ernst and Dr. Hauser will investigate the variation of the fluid solutions with certain constraints [e.g., maintaining a certain equation of state]. In particular, they will investigate those variations that preserve the existence of an exterior solution that is asymptotically flat and singularity-free.***