de.mpg.escidoc.pubman.appbase.FacesBean
English
 
Help Guide Disclaimer Contact us Login
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  A conformal hyperbolic formulation of the Einstein equations.

Alcubierre, M., Brügmann, B., Miller, M., & Suen, W.-M. (1999). A conformal hyperbolic formulation of the Einstein equations. Physical Review D, 60(6): 064017. doi:10.1103/PhysRevD.60.064017.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5864-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5865-A
Genre: Journal Article

Files

show Files
hide Files
:
PhyRevD60-1999-064017.pdf (Publisher version), 51KB
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
eDoc_access: PUBLIC
License:
-

Locators

show

Creators

show
hide
 Creators:
Alcubierre, Miguel1, Author
Brügmann, Bernd1, Author
Miller, Mark, Author
Suen, Wai-Mo, Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24013              

Content

show
hide
Free keywords: -
 Abstract: We propose a reformulation of the Einstein evolution equations that cleanly separates the conformal degrees of freedom and the nonconformal degrees of freedom with the latter satisfying a first order strongly hyperbolic system. The conformal degrees of freedom are taken to be determined by the choice of slicing and the initial data, and are regarded as given functions (along with the lapse and the shift) in the hyperbolic part of the evolution. We find that there is a two parameter family of hyperbolic systems for the nonconformal degrees of freedom for a given set of trace free variables. The two parameters are uniquely fixed if we require the system to be “consistently trace-free,” i.e., the time derivatives of the trace free variables remain trace-free to the principal part, even in the presence of constraint violations due to numerical truncation error. We show that by forming linear combinations of the trace free variables a conformal hyperbolic system with only physical characteristic speeds can also be constructed.

Details

show
hide
Language(s):
 Dates: 1999
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: eDoc: 206101
Other: 16361
DOI: 10.1103/PhysRevD.60.064017
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review D
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 60 (6) Sequence Number: 064017 Start / End Page: - Identifier: ISSN: 1089-4918