Approaches to Numerical Relativity

Author： Ray d'Inverno  

Publisher： Cambridge University Press‎

Publication year： 2005

E-ISBN: 9780511882630

P-ISBN(Paperback): 9780521017350

Subject： O412 relativity theory

Keyword： 相对论、场论

Language： ENG

Access to resources Favorite

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Approaches to Numerical Relativity

Description

This volume includes contributions by leading workers in the field given at the workshop on Numerical Relativity held in Southampton in December 1991. Numerical Relativity, or the numerical solution of astrophysical problems using powerful computers to solve Einstein's equations, has grown rapidly over the last 15 years. It is now an important route to understanding the structure of the Universe, and is the only route currently available for approaching certain important astrophysical scenarios. The Southampton meeting was notable for the first full report of the new 2+2 approach and the related null or characteristic approaches, as well as for updates on the established 3+1 approach, including both Newtonian and fully relativistic codes. The contributions range from theoretical (formalisms, existence theorems) to the computational (moving grids, multiquadrics and spectral methods).

Chapter

Cover

Half-title

Title

Copyright

Contents

Contributors

Introduction

Preface

Part A Theoritical Approaches

Numerical Relativity On aTranspuer Array

Some aspects of the characteristic initial value problem in numerical relativity

The characteristic initial value problem in general relativity

Algebraic approach to the characteristic initial value problem in general relativity

On hyperboloidal hypersurfaces

The initial value problem on null cones

Introduction to dual-null dynamics

On colliding plane wave space-times

Boundary conditions for the momentum constraint

On the choice of matter model in general relativity

A mathematical approach to numerical relativity

Making sense of the effects of rotation in general relativity

Stability of charged boson stars and catastrophe theory

Part B Practical Approaches

Numsrical Asymptotics

Instabilities in rapidly rotating polytropes

Gravitational radiation from coalescing binary neutron stars

"Critical" behaviour in massless scalar field collapse

Godonov-type methods applied to general relativistic stellar collapse

Astrophysical sources of gravitational waves and neutrinos

Gravitational radiation from 3D gravitational stellar core collapse

A vacuum fully relativistic 3D numerical code

Solution of elliptic equations in numerical relativity using multiquadrics

Self-gravitating thin discs around rotating black holes

An ADI scheme for a black hole problem

Time-symmetric ADI and causal reconnection

The numerical study of topological defects

Computations of bubble growth during the cosmological quark-hadron transition

Initial data of axisymmetric gravitational waves with a cosmological constant

PANEL DISCUSSION

The users who browse this book also browse


No browse record.