Methods of Local and Global Differential Geometry in General Relativity

Techniques of topology and differential geometry in general relativity.- A simple derivation of the general redshift formula.- Some remarks on a radiating solution of the Einstein-Maxwell equations.- Conservation laws on manifolds.- Structure of singularities.- Lattice transformations and charge quantization.- On an Einstein-Maxwell field with a null source.- The luminosity of a collapsing star.- A class of inextendible Weyl solutions.- Scaling in function spaces.- On the spherical symmetry of a static perfect fluid.- Differentiable manifolds with singularities.- Non-vacuum ADaM field equations.- General relativity as a dynamical system on the manifold a of Riemannian metrics which cover diffeomorphisms.