Overview

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.

Full Product Details

Author:   Masaru Shibata (Kyoto Univ, Japan)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   1
Dimensions:   Width: 17.00cm , Height: 4.30cm , Length: 24.40cm
Weight:   1.320kg
ISBN:  

9789814699723

ISBN 10:   9814699721
Pages:   844
Publication Date:   31 December 2015
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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;

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