Spin coefficient form of the new laws of black hole dynamics
Abstract
General laws of blackhole dynamics, some of which are analogous to the laws of thermodynamics, have recently been found for a general definition of black hole in terms of a future outer trapping horizon, a hypersurface foliated by marginal surfaces of a certain type. This theory is translated here into spincoefficient language. 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 an energy flux and the trapping gravity. Zeroth law: the total trapping gravity of a compact outer marginal surface has an upper bound, attained if and only if the trapping gravity is constant. Topology law: a compact 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 future outer marginal surface are trapped if they lie inside the trapping horizon. Confinement law: if the interior and exterior of a future outer trapping horizon are disjoint, an observer inside the horizon cannot get outside.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 December 1994
 DOI:
 10.1088/02649381/11/12/016
 arXiv:
 arXiv:grqc/9406033
 Bibcode:
 1994CQGra..11.3025H
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 9 pages