Mathematical problems in general relativity

这个项目涉及爱因斯坦广义相对论中的某些问题。该理论是由一个非线性系统的双曲偏微分方程被称为爱因斯坦方程。目前在研究这些方程在某些显式稳态解的邻域中的解方面取得了很大进展，最著名的是著名的克尔黑洞族。该项目的目的是采用近年来发展起来的非线性偏微分方程技术来解决与克尔族稳定性问题有关的问题。该项目属于EPSRC数学科学战略主题，研究领域为数学分析、数学物理和非线性系统。

The project concerns certain problems in Einstein's general theory of relativity. The theory is governed by a nonlinear system of hyperbolic partial differential equations known as the Einstein equations. Great progress is currently being made on the study of solutions of these equations in neighbourhoods of certain explicit stationary solutions, most notably the celebrated Kerr family of black holes. The aim of the project is to adapt techniques in nonlinear partial differential equations, developed over recent years, to address problems related to the stability problem of the Kerr family. The project falls under the EPSRC strategic theme of mathematical sciences, and the research areas of mathematical analysis, mathematical physics, and nonlinear systems.