Frontiers in Numerical Relativity

by Edited by Charles R. Evans , Lee S. Finn , David W. Hobill

• ISBN13: 9780521115957
• ISBN10: 0521115957
• Format: Paperback
• Copyright: 2011-06-09
• Publisher: Cambridge University Press

Summary

First published in 1989, this book is comprised of invited contributions from speakers at the international workshop, Frontiers in Numerical Relativity, held at the University of Illinois, Urbana-Champaign, in May 1988. Advances in supercomputer technology and computational algorithms have stimulated rapid progress in attempts to understand, through numerical means, such diverse phenomena as gravitational radiation emission from astrophysical sources, the evolution of inhomogenous cosmologies and its effects on nucleosynthesis, cosmic string interactions, the formation of 'naked singularities' and the cosmic censorship conjecture and the dynamics of black holes. The book should be of interest to researchers and graduate students in the field of general relativity, astrophysics and applied numerical analysis who wish to understand developments in computer studies of general relativity at the time of publication.

Table of Contents

Preface

Participants

Introduction

Supercomputing and numerical relativity: a look at the past, present and future

Computational relativity in two and three dimensions

Slowly moving maximally charged black holes

Kepler's third law in general relativity

Black hole spacetimes: testing numerical relativity

Three dimensional initial data of numerical relativity

Initial data for collisions of black holes and other gravitational miscellany

Analytic-numerical matching for gravitational waveform extraction

Supernovae, gravitational radiation and the quadrupole formula

Gravitational radiation from perturbations of stellar core collapse models

General relativistic implicit radiation hydrodynamics in polar sliced space-time

General relativistic radiation hydrodynamics in spherically symmetric spacetimes

Constraint preserving transport for magnetohydrodynamics

Enforcing the momentum constraints during axisymmetric spacelike simulations

Experiences with an adaptive mesh refinement algorithm in numerical relativity

The multigrid technique

Finite element methods in numerical relativity

Pseudo-spectral methods applied to gravitational collapse

Methods in 3D numerical relativity

Nonaxisymmetric rotating gravitational collapse and gravitational radiation

Nonaxisymmetric neutron star collisions: initial results using smooth particle hydrodynamics

Relativistic hydrodynamics

Computational dynamics of U(1) gauge strings: probability of reconnection of cosmic strings

Dynamically inhomogenous cosmic nucleosynthesis

Initial value solutions in planar cosmologies

An algorithmic overview of an Einstein solver

A PDE compiler for full-metric numerical relativity

Numerical evolution on null cones

Normal modes coupled to gravitational waves in a relativistic star

Cosmic censorship and numerical relativity

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