Boundary Conditions for the Gravitational Field release_jqvoprehw5fldihivi6tt5k76i

by Jeffrey Winicour

Released as a article .

2012  

Abstract

A review of the treatment of boundaries in general relativity is presented with the emphasis on application to the formulations of Einstein's equations used in numerical relativity. At present, it is known how to treat boundaries in the harmonic formulation of Einstein's equations and a tetrad formulation of the Einstein-Bianchi system. However, a universal approach valid for other formulations is not in hand. In particular, there is no satisfactory boundary theory for the 3+1 formulations which have been highly successful in binary black hole simulation. I discuss the underlying problems that make the initial-boundary value problem much more complicated than the Cauchy problem. I review the progress that has been made and the important open questions that remain.
In text/plain format

Archived Files and Locations

application/pdf  754.9 kB
file_kx5nwicc3fg6pkc2n7a6hrxkqu
archive.org (archive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   accepted
Date   2012-04-24
Version   v2
Language   en ?
arXiv  1203.2154v2
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 148a8d9f-f099-4b76-8232-81bfe9d30547
API URL: JSON