Methods of Local and Global Differential Geometry in General Relativity

Inhaltsverzeichnis

• 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.