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Numerical relativity : solving Einstein's equations on the computer /
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 mathematica...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2010.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.