Thomas W. Baumgarte (Maine Bowdoin College), Stuart L. Shapiro (Urbana-Champaign University of Illinois)

Numerical Relativity

• Gebundenes Buch

Produktbeschreibung

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. The book contains 300 exercises, numerous illustrations (many in color), summary boxes, and applications to help readers master the subject.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 718
• Erscheinungstermin: Juni 2010
• Englisch
• Abmessung: 260mm x 183mm x 43mm
• Gewicht: 1674g
• ISBN-13: 9780521514071
• ISBN-10: 052151407X
• Artikelnr.: 27373404

Autorenporträt

Thomas W. Baumgarte is a Professor of Physics at Bowdoin College, and an Adjunct Professor of Physics at the University of Illinois at Urbana-Champaign. He received his Diploma (1993) and Doctorate (1995) from Ludwig-Maximilians-Universität, München, and held postdoctoral positions at Cornell University and the University of Illinois before joining the faculty at Bowdoin College. He is a recipient of a John Simon Guggenheim Memorial Foundation Fellowship. He has written over 65 research articles on a variety of topics in general relativity and relativistic astrophysics, including black holes and neutron stars, gravitational collapse, and more formal mathematical issues.

Inhaltsangabe

Preface; Suggestions for using this book; 1. General relativity preliminaries; 2. The 3+1 decomposition of Einstein's equations; 3. Constructing initial data; 4. Choosing coordinates: the lapse and shift; 5. Matter sources; 6. Numerical methods; 7. Locating black hole horizons; 8. Spherically symmetric spacetimes; 9. Gravitational waves; 10. Collapse of collisionless clusters in axisymmetry; 11. Recasting the evolution equations; 12. Binary black hole initial data; 13. Binary black hole evolution; 14. Rotating stars; 15. Binary neutron star initial data; 16. Binary neutron star evolution; 17. Binary black hole-neutron stars: initial data and evolution; 18. Epilogue; Appendixes; References; Index.

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Preface
1. Newton's and Einstein's gravity
2. Foliations of spacetime: constraint and evolution equations
3. Solving the constraint equations
4 Solving the evolution equations
5. Numerical simulations of black-hole binaries
Epilogue
Appendix A. A brief review of tensor properties
Appendix B. A brief introduction to some numerical techniques
Appendix C. A very brief introduction to matter sources
Appendix D. A summary of important results
Appendix E. Answers to selected problems
References
Index.

Rezensionen

'Numerical relativity has come of age in the last few years, and Baumgarte and Shapiro have produced the first textbook on the subject. And what a book this is! Sufficiently complete to be an encyclopedia, yet accessible enough to be a genuine learning manual, the book is exceedingly well written. It covers virtually all aspects of numerical relativity, from formalism to the most modern application, and it is replete with beautiful and helpful diagrams. The book will serve as a useful reference to the researcher, and a source of enlightenment to many a student.' Eric Poisson, University of Guelph