Relativity and Scientific Computing: Computer Algebra, Numerics, Visualization

✍ Scribed by Werner Benger (auth.), Professor Dr. Friedrich W. Hehl, Dipl.-Phys. Roland A. Puntigam, Professor Dr. Hanns Ruder (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1996
• Tongue: English
• Leaves: 404
• Edition: 1
• Category: Library

✦ Synopsis

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

Front Matter....Pages I-XIX
Color Plates....Pages 1-22
Front Matter....Pages 23-23
Numerical Relativity and Black-Hole Collisions....Pages 25-68
Four Lectures on Numerical Relativity....Pages 69-87
Alternatives to Finite Difference Methods in Numerical Relativity....Pages 88-110
Temporal and Spatial Foliations of Spacetimes....Pages 111-121
Rotating and Oscillating Neutron Stars....Pages 122-137
Rotating Boson Stars....Pages 138-151
Numerical Investigation of Cosmological Singularities....Pages 152-169
Front Matter....Pages 171-171
Overview of Computer Algebra in Relativity....Pages 173-191
Two-Loop Quantum Gravity with the Computer Algebra Program FORM....Pages 192-209
The Mathematica Packages Cartan and MathTensor for Tensor Analysis....Pages 210-230
A Quadratic Curvature Lagrangian of Pawłowski and R a czka: A Finger Exercise with MathTensor....Pages 231-240
The Program CRACK for Solving PDEs in General Relativity....Pages 241-258
Algebraic Programming in the Hamiltonian Version of General Relativity....Pages 259-269
Causal Structure and Integrability in Moving Frames with Reduce....Pages 270-284
Front Matter....Pages 285-285
Four Lectures on Computer Graphics and Data Visualization....Pages 287-313
Visualization in Curved Spacetimes....Pages 314-329
Visualization in Curved Spacetimes....Pages 330-351
Front Matter....Pages 353-353
Exotic Smoothness on Spacetime....Pages 355-377
Back Matter....Pages 379-389

✦ Subjects

Classical and Quantum Gravitation, Relativity Theory;Numerical and Computational Physics;Astronomy, Observations and Techniques;Astrophysics and Astroparticles