Mathematical Sciences: Non-Linear Elliptic Partial Differential Equations in General Relatively and Geometry

小行星9404523 这项研究涉及广义相对论中与平衡旋转黑洞有关的几个主题。在变分原理的设置中，当定义方程产生到非紧型对称空间的能量极小化映射时，可以看到某些问题。 其他的问题涉及到理想流体中大质量物体的构型。这项研究在宇宙学和相对论流体力学中有应用。 ***

9404523 Weinstein The research involves several topics in general relativity theory relating to rotating black holes in equilibrium. Certain problems can be seen in the setting of variational principles when the defining equations give rise to energy minimizing maps to symmetric spaces of non-compact type. Other problems relate to configurations of massive bodies in a perfect fluid. The research has applications to cosmology and relativistic fluid mechanics. ***