Partial Differential Equations in General Relativity

In recent years the theory of partial differential equations has played an ever more important role in research on general relativity and in this text Alan Rendall covers the key themes-matter models and symmetry classes; the most important classes of partial differential equations, including ordinary differential equations; and material on functional analysis-before discussing a variety of important examples in the field of mathematical relativity including asymptotically flat spacetimes, which are used to describe isolated systems, and spatially compact spacetimes, which are of importance in cosmology.