Surveys in Differential Geometry

Preface

Beginnings of the Cauchy problem for Einstein’s field equations

On strong cosmic censorship

Geometric asymptotics and beyond

Gravitational waves and their memory in general relativity

Geometry and physics of null infinity

Rigidity results in general relativity: A review

Decay of linear waves on black hole space-times

Spin geometry and conservation laws in the Kerr spacetime

Conserved quantities of harmonic asymptotic initial data sets

On proving future stability of cosmological solutions with accelerated expansion

An alternative proposal for the anomalous acceleration

Euclidean-signature semi-classical methods for quantum cosmology

Geons and the instability of anti-de Sitter spacetime