Numerical Relativity
Published on 31. December 2015
Book
Paperback/Softback
844 pages
978-981-4699-72-3 (ISBN)
Description
This book is composed of two parts: First part describes basics in numerical relativity, that is, the formulations and methods for a solution of Einstein's equation and general relativistic matter field equations. This part will be helpful for beginners of numerical relativity who would like to understand the content of numerical relativity and its background. The second part focuses on the application of numerical relativity. A wide variety of scientific numerical results are introduced focusing in particular on the merger of binary neutron stars and black holes.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 46 mm
Weight
1429 gr
ISBN-13
978-981-4699-72-3 (9789814699723)
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Schweitzer Classification
Person
Content
Preliminaries for Numerical Relativity; Formulation for Initial-Value Problems of General Relativity; Numerical Methods for a Solution of Einstein's Evolution Equation; Matter Equations in General Relativity; Formulations for Initial Data, Equilibrium, and Quasi-Equilibrium; Extracting Gravitational Waves; Finding Black Holes; Coalescence of Binary Compact Objects; Gravitational Collapse to a Black Hole; Non-Radial Instability and Magnetohydrodynamics Instability; Higher-Dimensional Simulations; Conclusion; Appendices: Killing Vector and Frobenius' Theorem; Numerical Relativity in Spherical Symmetry; Decomposition by Spherical Harmonics; Lagrangian and Hamiltonian Formulations of General Relativity; Solutions of Riemann Problems in Special Relativistic Hydrodynamics; Landau-Lifshitz Pseudo Tensor; Laws of Black Hole and Apparent Horizon; Post-Newtonian Results for Coalescing Compact Binaries;