Analytical and Numerical Approaches to Mathematical Relativity

  • Differential Geometry and Differential Topology
    • Personal Perspective on Global Lorentzian Geometry
      • Introduction
      • Some Aspects of Limit Constructions
      • The Lorentzian Distance Function and Causal Disconnection
      • The Stability of Geodesic Completeness Revisited
      • The Lorentzian Splitting Problem
      • Gravitational Plane Waves and the Nonspacelike Cut Locus
    • The Space of Null Geodesics (and a New Causal Boundary)
      • Introduction
      • Space of Null Geodesics
    • Some Variational Problems in Semi-Riemannian Geometry
      • On the Geometry of pp-Wave Type Spacetimes
  • Analytical Methods and Differential Equations
    • Concepts of Hyperbolicity and Relativistic Continuum Mechanics
    • Elliptic Systems
    • Mathematical Properties of Cosmological Models with Accelerated Expansion
    • The Poincar´e Structure and the Centre-of-Mass of Asymptotically Flat Spacetimes
  • Numerical Methods
    • Computer Simulation – a Tool for Mathematical Relativity – and Vice Versa
    • On Boundary Conditions for the Einstein Equations
    • Recent Analytical and Numerical Techniques Applied to the Einstein Equations
    • Some Mathematical Problems in Numerical Relativity