Asymptotic Behavior of Mass and Spacetime Geometry

The positive energy theorem and its extensions.- Mass and angular momentum at the quasi-local level in general relativity.- The positive mass theorem and black holes.- Exotic differentiable structures on Euclidean 4-space.- A new approach to the vacuum Einstein equation.- The existence of maximal surfaces in asymptotically flat spacetimes.- Causality of classical supergravity.- A gauge invariant index theorem for asymptotically flat manifolds.- On the boundary conditions for gravitational and gauge fields at spatial infinity.- Metric fluctuations and the entropy of black holes.- The numerical characteristic initial value problem.- Time-asymmetric initial data for n black holes.- The gravitational Hamiltonian.- Twistors, asymptotic symmetries and conservation laws at null and spatial infinity.- Two-surface twistors and conformal embedding.- Remarks on the cosmic censorship conjecture.- On some (con-)formal properties of Einstein's field equations and their consequences.