A concise introduction to trapped surface formation in general relativity
arXiv:1705.01706
Abstract
Trapped surface formation in general relativity can be studied through a coupled set of nonlinear equations, where various terms can be neglected, as was proved by a rigorous mathematical analysis of Christodoulou. This paper is devoted to a pedagogical synthesis of the mathematical formalism employed in this analysis, i.e. the optical structure of general relativity investigated by Christodoulou, Klainerman and other authors after them.
11 pages. Misprints in Eqs. (1.5), (1.6), (3.24), (3.25) have been amended