Geometry of null-like surfaces in general relativity and its application to dynamics of gravitating matter (Q5938516)

In this paper geometric tools describing the structure of a null-like surface (wave-front) are constructed. They are applied to the analysis of the interaction between a light-like matter shell and the surrounding gravitational field. The geometry of isolated horizons is analysed in terms of the constructed tools. Applications of the results to the problem of motion of isolated objects are discussed.