When the universe is treated as a quantum system, it is described by a wave function. This
wave function is a function not only of the matter fields, but also of spacetime. The no …

I review the classical and quantum properties of the (2+ 1)-dimensional black hole of
Bañados, Teitelboim and Zanelli. This solution of the Einstein field equations in three …

A bstract Recent work by Zamolodchikov and others has uncovered a solvable irrelevant
deformation of general 2D CFTs, defined by turning on the dimension 4 operator\(T\overline …

A bstract A recent proposal relates two dimensional holographic conformal field theories
deformed by the integrable\(T\overline {T}\) flow to AdS 3 with a finite radial cutoff. We …

We propose a procedure for computing the boundary stress tensor associated with a
gravitating system in asymptotically anti-de Sitter space. Our definition is free of ambiguities …

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 …

We give a derivation of the gravitational Hamiltonian starting from the Einstein-Hilbert action,
kee** track of all surface terms. This derivation can be applied to any spacetime that …

A general formalism for understanding the thermodynamics of horizons in spherically
symmetric spacetimes is developed. The formalism reproduces known results in the case of …

This timely volume provides a broad survey of (2+ 1)-dimensional quantum gravity. It
emphasises the'quantum cosmology'of closed universes and the quantum mechanics of the …

We compute leading-order corrections to the entropy of any thermodynamic system due to
small statistical fluctuations around equilibrium. When applied to black holes, these …