Gravitational radiation and angular momentum flux from a slowly rotating dynamical black hole

摘要: A four-dimensional asymptotic expansion scheme is used to study the next-order effects of nonlinearity near a spinning dynamical black hole. The angular-momentum flux and energy formula are then obtained by constructing reference frame in terms compatible constant spinors compatibility coupling leading-order Newman-Penrose equations. By using slow rotation small-tide approximation for hole, horizon cross-section we chose spherical symmetric. It turns out rather simple can be compared with known results. Directly from slow-rotating horizon, find that physically reasonable condition on requiring positivity gravitational yields shear will monotonically decrease time. Thus asymptotically approach an isolated during late