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Card catalog description
This book contains lectures given by leading scientists from internationally reputed centers of research and teaching who provide insight into the state of the art of scientific computing in relativity. It is split into four parts covering numerics, computer algebra, visualization, and exotic smoothness on spacetime. As well as introducing the techniques, the authors stress the importance of combining complementary methods to attack complex problems in general relativity and gravitation. Care has been taken to select lecturers who teach in a comprehensible way, so this work provides an excellent introduction to scientific computing for students who wish to specialize in relativity, gravitation, and/or astrophysics.

Table of Contents

Color Plates

1. Numerical Relativity and Black-Hole Collisions

By Edward Seidel

2. Four Lectures on Numerical Relativity

By Carles Bona

3. Alternatives to Finite Difference Methods in Numerical Relativity

By Pablo Laguna

4. Temporal and Spatial Foliations of Spacetimes

By Heinz Herold

5. Rotating and Oscillating Neutron Stars

By Heinz Herold

6. Rotating Boson Stars

By Franz E. Schunck, Eckehard W. Mielke

7. Numerical Investigation of Cosmological Singularities

By Beverly K. Berger

8. Overview of Computer Algebra in Relativity

By David Hartley

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

By Anton E. M. van de Ven

10. The Mathematic Packages Cartan and MathTensor for Tensor Analysis

By Harald H. Soleng

11. A Quadratic Curvature Lagrangian of Pawlowski and Raczka: A Finger Exercise with MathTensor

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

12. The Program CRACK for Solving PDEs in General Relativity

By Thomas Wolf

13. Algebraic Programming in the Hamiltonian Version of General Relativity

By Dumitru N. Vulcanov

14. Causal Structure and Integrability in Moving Frames with Reduce

By David Hartley

15. Four Lectures on Computer Graphics and Data Visualization

By G. David Kerlick

16. Visualization in Curved Spacetimes. I. Visualization of Objects via Four-Dimensional Ray-Tracing

By Hans-Peter Nollert, Ute Kraus, Hanns Ruder

17. Visualization in Curved Spacetimes. II. Visualization of Surfaces via Embedding

By Hans-Peter Nollert, Heinz Herold

18. Exotic Smoothness on Spacetime

By Carl H. Brans

List of Figures

List of Tables

Index

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