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9780521514071

Numerical Relativity: Solving Einstein's Equations on the Computer

by
  • ISBN13:

    9780521514071

  • ISBN10:

    052151407X

  • Format: Hardcover
  • Copyright: 2010-08-16
  • Publisher: Cambridge University Press

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Summary

Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.

Table of Contents

Preface
Suggestions for using this book
General relativity preliminaries
The 3+1 decomposition of Einstein's equations
Constructing initial data
Choosing coordinates: the lapse and shift
Matter sources
Numerical methods
Locating black hole horizons
Spherically symmetric spacetimes
Gravitational waves
Collapse of collisionless clusters in axisymmetry
Recasting the evolution equations
Binary black hole initial data
Binary black hole evolution
Rotating stars
Binary neutron star initial data
Binary neutron star evolution
Binary black hole-neutron stars: initial data and evolution
Epilogue
Appendixes
References
Index.
Table of Contents provided by Publisher. All Rights Reserved.

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