I review the development of numerical evolution codes for general relativity based upon the
characteristic initial-value problem. Progress in characteristic evolution is traced from the …

A bstract We expand our recent work on the outer entropy, a holographic coarse-grained
entropy defined by maximizing the boundary entropy while fixing the classical bulk data …

The standard approach to the numerical evolution of black hole data using the ADM
formulation with maximal slicing and vanishing shift is extended to non-symmetric black hole …

A black hole is one of the most fascinating and enigmatic predictions of Einstein's theory of
general relativity. Its interior can have rich structure and is intrinsically dynamical, where …

We report new results which establish that the accurate three-dimensional numerical
simulation of generic single-black-hole spacetimes has been achieved by characteristic …

Binary black-hole interactions provide potentially the strongest source of gravitational
radiation for detectors currently under development. We present some results from the …

Gravitational radiation arising from the inspiral and merger of binary black holes (BBH's) is a
promising candidate for detection by kilometer-scale interferometric gravitational wave …

Self-gravitating relativistic disks around black holes can form as transient structures in a
number of astrophysical scenarios such as binary neutron star and black hole-neutron star …

We present a numerical code designed to study astrophysical phenomena involving
dynamical spacetimes containing black holes in the presence of relativistic hydrodynamic …

A fully relativistic three-dimensional Cauchy-characteristic matching (CCM) algorithm is
implemented in a numerical relativity code SpECTRE. The method is free of approximations …