Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

Maria C. Babiuc-Hamilton; H-O. Kreiss; Jeﬀrey Winicour

Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

Maria C. Babiuc-Hamilton
, H-O. Kreiss
, Jeﬀrey Winicour

Marshall University

Research output: Contribution to journal › Article

Abstract

The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A new formulation of constraint-preserving boundary conditions of the Sommerfeld-type for such systems has recently been proposed. We implement these boundary conditions in a nonlinear 3D evolution code and test their accuracy.

Original language	American English
Journal	Physics Faculty Research
State	Published - Feb 15 2007

Access to Document

http://mds.marshall.edu/physics_faculty/19

Cite this

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title = "Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations",

abstract = "The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A new formulation of constraint-preserving boundary conditions of the Sommerfeld-type for such systems has recently been proposed. We implement these boundary conditions in a nonlinear 3D evolution code and test their accuracy.",

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T1 - Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations

AU - Babiuc-Hamilton, Maria C.

AU - Kreiss, H-O.

AU - Winicour, Jeﬀrey

PY - 2007/2/15

Y1 - 2007/2/15

N2 - The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A new formulation of constraint-preserving boundary conditions of the Sommerfeld-type for such systems has recently been proposed. We implement these boundary conditions in a nonlinear 3D evolution code and test their accuracy.

AB - The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A new formulation of constraint-preserving boundary conditions of the Sommerfeld-type for such systems has recently been proposed. We implement these boundary conditions in a nonlinear 3D evolution code and test their accuracy.

M3 - Article

JO - Physics Faculty Research

JF - Physics Faculty Research

ER -