Relativity and Scientific Computing

1. Front Matter

   Pages I-XIX

   PDF

2. Color Plates

   1. Color Plates

      • Werner Benger

      Pages 1-22

3. Numerics

   1. Front Matter

      Pages 23-23

      PDF

   2. Numerical Relativity and Black-Hole Collisions

      • Edward Seidel

      Pages 25-68

   3. Four Lectures on Numerical Relativity

      • Carles Bona

      Pages 69-87

   4. Alternatives to Finite Difference Methods in Numerical Relativity

      • Pablo Laguna

      Pages 88-110

   5. Temporal and Spatial Foliations of Spacetimes

      • Heinz Herold

      Pages 111-121

   6. Rotating and Oscillating Neutron Stars

      • Heinz Herold

      Pages 122-137

   7. Rotating Boson Stars

      • Franz E. Schunck, Eckehard W. Mielke

      Pages 138-151

   8. Numerical Investigation of Cosmological Singularities

      • Beverly K. Berger

      Pages 152-169

4. Computer Algebra

   1. Front Matter

      Pages 171-171

      PDF

   2. Overview of Computer Algebra in Relativity

      • David Hartley

      Pages 173-191

   3. Two-Loop Quantum Gravity with the Computer Algebra Program FORM

      • Anton E. M. van de Ven

      Pages 192-209

   4. The Mathematica Packages Cartan and MathTensor for Tensor Analysis

      • Harald H. Soleng

      Pages 210-230

   5. A Quadratic Curvature Lagrangian of Pawłowski and Raczka: A Finger Exercise with MathTensor

      • Efstratios Tsantilis, Roland A. Puntigam, Friedrich W. Hehl

      Pages 231-240

   6. The Program CRACK for Solving PDEs in General Relativity

      • Thomas Wolf

      Pages 241-258

   7. Algebraic Programming in the Hamiltonian Version of General Relativity

      • Dumitru N. Vulcanov

      Pages 259-269

   8. Causal Structure and Integrability in Moving Frames with Reduce

      • David Hartley

      Pages 270-284

5. Visualization

   1. Front Matter

      Pages 285-285

      PDF

   2. Four Lectures on Computer Graphics and Data Visualization

      • G. David Kerlick

      Pages 287-313

For this set of lectures we assumed that the reader has a reasonable back­ ground in physics and some knowledge of general relativity, the modern theory of gravity in macrophysics, and cosmology. Computer methods are present­ ed by leading experts in the three main domains: in numerics, in computer algebra, and in visualization. The idea was that each of these subdisciplines is introduced by an extended set of main lectures and that each is conceived as being of comparable 'importance. Therefpre we believe that the book represents a good introduction into scientific I computing for any student who wants to specialize in relativity, gravitation, and/or astrophysics. We took great care to select lecturers who teach in a comprehensible way and who are, at the same time, at the research front of their respective field. In numerics we had the privilege of having a lecturer from the National Center for Supercomputing Applications (NCSA, Champaign, IL, USA) and some from other leading institutions of the world; visualization was taught by a visualization expert from Boeing; and in com­ puter algebra we took recourse to practitioners of different computer algebra systems as applied to classical general relativity up to quantum gravity and differential geometry.

• Gravity
• Mathematica
• Relativity
• astrophysics
• general relativity
• general theory of relativity

• Institut für Theoretische Physik, Universität zu Köln, Köln, Germany

  Friedrich W. Hehl, Roland A. Puntigam

• Institut für Astronomie und Astrophysik, Universität Tübingen, Tübingen, Germany

  Hanns Ruder

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