Surface deformations in vaidya spacetimes

Abstract

The geometry and dynamics of black hole horizons can be easily studied by considering the allowed deformations of their foliating two-surfaces. This article presents a new method of calculating the geometry and deformations of two-surfaces embedded in spacetimes. The calculations are tested by comparing the results obtained with this method with some known results about these objects. By this method, the deformations of future outer trapping surfaces in Vaidya spacetimes are studied.