SPIN COEFFICIENT FORM OF THE NEW LAWS OF BLACK-HOLE DYNAMICS

General laws of black hole dynamics, some of which are analogous to th e laws of thermodynamics, have recently been found for a general defin ition of a black hole in terms of a future outer trapping horizon, a h ypersurface foliated by marginal surfaces of a certain type. This theo ry is translated here into spin coefficient language. Most of the foll owing results assume an energy condition. Second law: the area form of a future outer trapping horizon is generically increasing, otherwise constant. First law: the rate of change of the area form is given by a n energy flux and the trapping gravity. Zeroth law: the total trapping gravity of a compact outer marginal surface has an upper bound, attai ned if and only if the trapping gravity is constant. Topology law: a c ompact future outer marginal surface has spherical topology. Signature law: an outer trapping horizon is generically spatial, otherwise null . Trapping law: spatial surfaces sufficiently close to a compact futur e outer marginal surface are trapped if they lie inside the trapping h orizon. Confinement law: if the interior and exterior of a future oute r trapping horizon are disjoint, an observer inside the horizon cannot get outside.