Mathematical problems in general relativity

广义相对论是爱因斯坦于1915年提出的关于空间、时间和引力的统一理论，它从根本上植根于经典力学。它的主要目标是理解引力物理系统的演化，如行星系统、多恒星、黑洞、（一个星团）星系以及最终整个宇宙。将广义相对论与其他物理理论区别开来的是，“广义相对论用直接施加于时空度规的微分方程（即物理定律）来描述系统的演化”，从而将几何、

General relativity is a theory proposed by Einstein in 1915 as a unified theory of space, time and gravitation and is fundamentally rooted in classical mechanics. Its main objective is the understanding of the evolution of gravitational physical systems such as planetary systems, multiple stars, black holes, (a cluster of) galaxies and ultimately the universe as a whole. What distinguishes general relativity from other physical theories is that "general relativity describes the evolution of systems in terms of differential equations (i.e.~physical laws) imposed directly on the space-time metric'', connecting thus geometry,