The Mathematical Theory of Black Holes

This treatise is devoted to the mathematical theory of the space-times surrounding the black holes of nature. The principal chapters deal with the Schwarzchild solution, describing static, spherically symmetric black holes. The text features illustrations of the various classes of geodesics.

---

This treatise is devoted to the mathematical theory of the space-times surrounding the black holes of nature. Since the general theory of relativity provides a unique family of solutions (the Kerr family) for black holes, the subject is mathematically well defined. A preliminary chapter provides the basic mathematical tools. The principal chapters deal with the Schwarzchild solution, describing static, spherically symmetric black holes. The geometry of these space-times is analyzed in terms of their geodesics. A particular feature of the book is the collection of illustrations exhibiting the various classes of geodesics.