Numerical Relativity

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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 focusi…

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Title Statements

Full title :Numerical Relativity / Masaru Shibata, Kyoto University, Japan.

Summary

Edition Statements

Publication Date:©2016

Publication Statements

Publisher(s):World Scientific Publishing Co Pte Ltd
Place of Publication:Singapore
Language:eng
Publication Date:©2016

The Physical Object

Description:xxii, 821 pages : : illustrations ; : 26 cm

Edition Identifiers

ISBN:9789814699716, 9814699713, 9789814699723, 9814699721
oclc:ocn930756279
LC Classification:QC173.6
Dewey Decimal:530.1

1. Preliminaries for numerical relativity -- 1.1 Brief introduction of general relativity -- 1.2 Gravitational waves -- 1.3 Black Holes -- 1.4 Neutron stars -- 1.5. Sources of gravitational waves -- 1.6 Matched filtering techniques for gravitational-wave data analysis -- 2. Formulations for initial-value problems of general relativity -- 2.1. Forumations based on spacetime foliation -- 2.2 Guage conditions -- 2.3 Formulations in numerical relativity -- 2.4 Formulations in axisymmetric spacetime -- 2.5 Cartoon method -- 2.6. Formulations for asymptotically de Sitter and Friedmann spacetime -- 3. Numerical methods for a solution of Einstein's evolution equation -- 3.1 Solving hyperbolic equations -- 3.2 Handling advection terms -- 3.3 Adaptive mesh refinement -- 3.4 Testing numberical-relativity code : vacuum spacetime -- 4. Matter equations in general relativity -- 4.1 Scalar fields -- 4.2 Collisionless particles -- 4.3 3+1 form of streee-energy conservation -- 4.4 Hydrodynamics -- 4.5 Hydrodynamics with microphysics -- 4.6 Electromagnetohydrodynamics -- 4.7 Radiation transfer and radiation hydrodynamics -- 4.8 Numerical methods for hydrodynamics and magnetohydrodynamics : handling…

Subjects

Calculs numériques Einstein field equations Équations du champ d'Einstein General relativity (Physics) Numerical calculations Relativité générale (Physique)