Bibliographic Information

Numerical relativity

Masaru Shibata

(100 years of general relativity / series editor, Abhay Ashtekar, v. 1)

World Scientific, c2016

  • : hard
  • : pbk

Available at  / 23 libraries

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Note

Includes bibliographical references (p. 769-808) and index

Description and Table of Contents

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.

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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Details

  • NCID
    BB20588008
  • ISBN
    • 9789814699716
    • 9789814699723
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New Jersey
  • Pages/Volumes
    xxii, 821 p.
  • Size
    26 cm
  • Parent Bibliography ID
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