The present status of the quasi-local mass, energy-momentum and angular-momentum
constructions in general relativity is reviewed. First, the general ideas, concepts, and …

The Penrose inequality gives a lower bound for the total mass of a spacetime in terms of the
area of suitable surfaces that represent black holes. Its validity is supported by the cosmic …

We review the first modern singularity theorem, published by Penrose in 1965. This is the
first genuine post-Einsteinian result in general relativity, where the fundamental and fruitful …

Anisotropy of gravitational wave (GW) emission results in a net momentum gained by the
black hole (BH) merger product, leading to a recoil velocity up to∼ 103 km s− 1, which may …

We evolve equal-mass, equal-spin black-hole binaries with specific spins of a/m H∼ 0.925,
the highest spins simulated thus far and nearly the largest possible for Bowen-York black …

We prove that an extreme Kerr initial data set is a unique absolute minimum of the total mass
in a (physically relevant) class of vacuum, maximal, asymptotically flat, axisymmetric data for …

We present an introduction to mass and angular momentum in General Relativity. After
briefly reviewing energy–momentum for matter fields, first in the flat Minkowski case (Special …

A geometric inequality in general relativity relates quantities that have both a physical
interpretation and a geometrical definition. It is well known that the parameters that …

It is shown that the conserved charges on the event horizon and the Cauchy horizon
associated with scalar perturbations on extremal black holes are externally measurable from …

We construct one-parameter families of solutions to the Einstein–Klein–Gordon equations
bifurcating off the Kerr solution such that the underlying family of spacetimes are each an …