Volume 692 2006

Analytical and Numerical Approaches to Mathematical Relativity

ISBN: 978-3-540-31027-3 (Print) 978-3-540-33484-2 (Online)

Table of contents (12 chapters)

  1. Differential Geometry and Differential Topology

    1. Front Matter

      Pages I-XVII

    2. No Access

      Book Chapter

      Pages 3-34

      A Personal Perspective on Global Lorentzian Geometry

    3. No Access

      Book Chapter

      Pages 35-50

      The Space of Null Geodesics (and a New Causal Boundary)

    4. No Access

      Book Chapter

      Pages 51-77

      Some Variational Problems in Semi-Riemannian Geometry

    5. No Access

      Book Chapter

      Pages 79-98

      On the Geometry of pp-Wave Type Spacetimes

  2. Analytical Methods and Differential Equations

    1. Front Matter

      Pages I-XVII

    2. No Access

      Book Chapter

      Pages 101-116

      Concepts of Hyperbolicity and Relativistic Continuum Mechanics

    3. No Access

      Book Chapter

      Pages 117-139

      Elliptic Systems

    4. No Access

      Book Chapter

      Pages 141-155

      Mathematical Properties of Cosmological Models with Accelerated Expansion

    5. No Access

      Book Chapter

      Pages 157-184

      The Poincaré Structure and the Centre-of-Mass of Asymptotically Flat Spacetimes

  3. Numerical Methods

    1. Front Matter

      Pages I-XVII

    2. No Access

      Book Chapter

      Pages 187-203

      Computer Simulation – a Tool for Mathematical Relativity – and Vice Versa

    3. No Access

      Book Chapter

      Pages 205-222

      On Boundary Conditions for the Einstein Equations

    4. No Access

      Book Chapter

      Pages 223-249

      Recent Analytical and Numerical Techniques Applied to the Einstein Equations

    5. No Access

      Book Chapter

      Pages 251-274

      Some Mathematical Problems in Numerical Relativity