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Numerical Relativity
The 3 + 1 decompostion of Einstein's equations
monograph
Author(s):
Thomas W. Baumgarte
,
Stuart L. Shapiro
Publication date
(Online):
2009
Publisher:
Cambridge University Press
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Author and book information
Book Chapter
Pages
: 23-53
DOI:
10.1017/CBO9781139193344.004
SO-VID:
7df3a876-b178-497a-aa28-c82ee106ab56
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Book chapters
pp. xi
Preface
pp. xvii
Suggestions for using this book
pp. 1
General relativity preliminaries
pp. 23
The 3 + 1 decompostion of Einstein's equations
pp. 54
Constructing initial data
pp. 98
Choosing coordinates: the lapse and shift
pp. 123
Matter sources
pp. 183
Numerical methods
pp. 229
Locating black hole horizons
pp. 253
Spherically symmetric spacetimes
pp. 311
Gravitational waves
pp. 352
Collapse of collisionless clusters in axisymmetry
pp. 375
Recasting the evolution equations
pp. 394
Binary black hole initial data
pp. 429
Binary black hole evolution
pp. 459
Rotating stars
pp. 506
Binary neutron star initial data
pp. 533
Binary neutron star evolution
pp. 562
Binary black hole–neutron stars: initial data and evolution
pp. 596
Epilogue
pp. 598
Lie derivatives, Killing vectors, and tensor densities
pp. 607
Solving the vector Laplacian
pp. 609
The surface element on the apparent horizon
pp. 612
Scalar, vector and tensor spherical harmonics
pp. 616
Post-Newtonian results
pp. 629
Collisionless matter evolution in axisymmetry: basic equations
pp. 634
Rotating equilibria: gravitational field equations
pp. 637
Moving puncture representions of Schwarzschild: analytical results
pp. 642
Binary black hole puncture simulations as test problems
pp. 647
References
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