Black-hole horizons as probes of black-hole dynamics. II. Geometrical insights

摘要: In a companion paper [J. L. Jaramillo, R. P. Macedo, Moesta, and Rezzolla, preceding Article, Phys. Rev. D 85, 084030 (2012).], we have presented cross-correlation approach to near-horizon physics in which bulk dynamics is probed through the correlation of quantities defined at inner outer spacetime hypersurfaces acting as test screens. More specifically, dynamical horizons provide appropriate screens $3+1$ setting and, this context, shown that an effective-curvature vector measured common horizon produced head-on collision merger can be correlated with flux linear Bondi momentum null infinity. more sound geometric basis picture. First, show rigidity property horizons, namely, foliation uniqueness, leads preferred class tetrads Weyl scalars on these hypersurfaces. Second, identify heuristic newslike function, depending only geometry spatial sections horizon. Fluxes constructed from function offer refined fluxes infinity, well contact discussion quasilocal 4-momentum horizons. Third, highlight importance tracking internal dual apparent 3-slices when integrating along Finally, discuss link between dissipation nonstationary part horizon's viscous-fluid analogy for black holes, introducing prescription ``slowness parameter'' black-hole recoil dynamics.