| Description |
1 online resource (xviii, 698 pages) : illustrations (some color) |
| Contents |
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 -- A. Lie derivatives, Killing vectors, and tensor densities -- B. Solving the vector Laplacian -- C. The surface element on the apparent horizon -- D. Scalar, vector and tensor spherical harmonics -- E. Post-Newtonian results -- F. Collisionless matter evolution in axisymmetry: basic equations -- G. Rotating equilibria: gravitational field equations -- H. Moving puncture representions of Schwarzschild: analytical results -- I. Binary black hole puncture simulations as test problems |
| 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, this textbook develops the mathematical formalism from first principles, then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves |
| Bibliography |
Includes bibliographical references (pages 647-683) and index |
| Notes |
English |
|
Online resource; title from digital title page (Cambridge books online, viewed September 10, 2014) |
| Subject |
General relativity (Physics)
|
|
Einstein field equations.
|
|
Numerical calculations.
|
|
SCIENCE -- Physics -- Relativity.
|
|
Einstein field equations
|
|
General relativity (Physics)
|
|
Numerical calculations
|
| Form |
Electronic book
|
| Author |
Shapiro, Stuart L. (Stuart Louis), 1947-
|
| ISBN |
9781139193344 |
|
1139193341 |
|
9780511729379 |
|
0511729375 |
|
0511726074 |
|
9780511726071 |
|
9780511727474 |
|
051172747X |
|
1107206200 |
|
9781107206205 |
|
1139635999 |
|
9781139635998 |
|
1282724800 |
|
9781282724808 |
|
9786612724800 |
|
6612724803 |
|
0511728425 |
|
9780511728426 |
|
0511724667 |
|
9780511724664 |
|
