Mathematical problems in general relativity

该项目涉及爱因斯坦广义相对论中的某些问题。这个理论是由一个非线性的双曲型偏微分方程系统所控制的，这个系统被称为爱因斯坦方程。目前正在取得很大进展的研究解决方案，这些方程的某些明确的固定解决方案，最值得注意的是著名的克尔家庭的黑洞的邻域。该项目的目的是适应近年来发展的非线性偏微分方程技术，以解决与克尔家族稳定性问题有关的问题。该项目福尔斯属于EPSRC数学科学的战略主题，以及数学分析，数学物理和非线性系统的研究领域。

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.