The goal of this review is to present an introduction to loop quantum gravity—a background-
independent, non-perturbative approach to the problem of unification of general relativity …

Over the past three decades, black holes have played an important role in quantum gravity,
mathematical physics, numerical relativity and gravitational wave phenomenology …

A short, graduate-level synthesis of recent developments in theoretical physics, from a
pioneer in the field Lectures on the Infrared Structure of Gravity and Gauge Theory presents …

A bstract It is shown that black hole spacetimes in classical Einstein gravity are
characterized by, in addition to their ADM mass M, momentum\(\overrightarrow {P}\), angular …

A bstract We study general relativity at a null boundary using the covariant phase space
formalism. We define a covariant phase space and compute the algebra of symmetries at the …

Les trous noirs classiques et leur horizon des événements sont des objets qui sont définis
de façon hautement non locale par leur relation avec avec le passé causal de l'infini futur …

Null infinity, I+, arises as a boundary of the Penrose conformal completion (M^, g^ ab) of an
asymptotically flat physical space-time (M, gab). We first note that I+ is a weakly isolated …

The isolated horizon formalism recently introduced by Ashtekar et al. aims at providing a
quasi-local concept of a black hole in equilibrium in an otherwise possibly dynamical …

According to the no-hair theorem, static black holes are described by a Schwarzschild
spacetime provided there are no other sources of the gravitational field. This requirement …

This is a review of results on black hole physics in the context of loop quantum gravity. The
key feature underlying these results is the discreteness of geometric quantities at the Planck …