Treffer: Numerical relativity using a generalized harmonic decomposition

Title:
Numerical relativity using a generalized harmonic decomposition
Authors:
PRETORIUS, Frans
Source:
Classical and quantum gravity (Print). 22(2):425-451
Publisher Information:
Bristol: Institute of Physics, 2005.
Publication Year:
2005
Physical Description:
print, 61 ref
Original Material:
INIST-CNRS
Subject Terms:
Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Generalites, General, Relativité générale et gravitation, General relativity and gravitation, Méthodes d'approximation; équations du mouvement, Approximation methods; equation of motion, Relativité numérique, Numerical relativity, Systèmes autogravitants; milieux continus et champs classiques en espace-temps courbe, Self-graviting systems; continuous media and classical fields in curved spacetime, Physique des trous noirs, Physics of black holes, Trous noirs classiques, Classical black holes, Champ scalaire, Scalar fields, Condition aux limites, Boundary conditions, Cosmologie, Cosmology, Effondrement, Collapse, Desmoronamiento, Equation champ Einstein, Einstein field equations, Equation dérivée partielle, Partial differential equations, Erreur troncature, Truncation error, Error truncamiento, Espace temps, Space-time, Fonction onde, Wave functions, Interpolation, Ordre 1, First order, Orden 1, Ordre 2, Second order, Orden 2, Relativité générale, General relativity, Système coordonnée, Coordinate system, Sistema coordenadas, Tenseur Ricci, Ricci tensor, Trou noir, Black holes
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Theoretical Astrophysics, California Institute of Technology, Pasadena, CA 91125, United States
ISSN:
0264-9381
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=16426743
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Theoretical physics
Accession Number:
edscal.16426743
Database:
PASCAL Archive

Weitere Informationen

A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic decomposition of the Ricci tensor is introduced. The source functions driving the wave equations that define generalized harmonic coordinates are treated as independent functions, and encode the coordinate freedom of solutions. Techniques are discussed to impose particular gauge conditions through a specification of the source functions. A 3D, free evolution, finite difference code implementing this system of equations with a scalar field matter source is described. The second-order-in-space-and-time partial differential equations are discretized directly without the use of first-order auxiliary terms, limiting the number of independent functions to 15-ten metric quantities, four source functions and the scalar field. This also limits the number of constraint equations, which can only be enforced to within truncation error in a numerical free evolution, to four. The coordinate system is compactified to spatial infinity in order to impose physically motivated, constraint-preserving outer boundary conditions. A variant of the cartoon method for efficiently simulating axisymmetric spacetimes with a Cartesian code is described that does not use interpolation, and is easier to incorporate into existing adaptive mesh refinement packages. Preliminary test simulations of vacuum black-hole evolution and black-hole formation via scalar field collapse are described, suggesting that this method may be useful for studying many spacetimes of interest.