A concise introduction to trapped surface formation in general relativity
General Relativity and Quantum Cosmology
2017-05-11 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.1705.01706,
title = {A concise introduction to trapped surface formation in general relativity},
author = {Donato Bini and Giampiero Esposito},
journal= {arXiv preprint arXiv:1705.01706},
year = {2017}
}
Comments
11 pages. Misprints in Eqs. (1.5), (1.6), (3.24), (3.25) have been amended