English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  Spectral approach to axisymmetric evolution of Einstein's equations

Schell, C., & Rinne, O. (2015). Spectral approach to axisymmetric evolution of Einstein's equations. Journal of Physics: Conference Series, 600 (1): 012060. doi:10.1088/1742-6596/600/1/012060.

Item is

Files

show Files
hide Files
:
1410.2548.pdf (Preprint), 108KB
Name:
1410.2548.pdf
Description:
File downloaded from arXiv at 2014-11-05 11:36
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
1742-6596_600_1_012060.pdf (Any fulltext), 679KB
Name:
1742-6596_600_1_012060.pdf
Description:
Open Access
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Schell, Christian1, Author           
Rinne, Oliver1, Author           
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

Content

show
hide
Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We present a new formulation of Einstein's equations for an axisymmetric
spacetime with vanishing twist in vacuum. We propose a fully constrained scheme
and use spherical polar coordinates. A general problem for this choice is the
occurrence of coordinate singularities on the axis of symmetry and at the
origin. Spherical harmonics are manifestly regular on the axis and hence take
care of that issue automatically. In addition a spectral approach has
computational advantages when the equations are implemented. Therefore we
spectrally decompose all the variables in the appropriate harmonics. A central
point in the formulation is the gauge choice. One of our results is that the
commonly used maximal-isothermal gauge turns out to be incompatible with tensor
harmonic expansions, and we introduce a new gauge that is better suited. We
also address the regularisation of the coordinate singularity at the origin.

Details

show
hide
Language(s):
 Dates: 2014-10-092015
 Publication Status: Issued
 Pages: 6 pages, based on a talk given by one of the authors at the Spanish Relativity Meeting ERE14 in Valencia
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1410.2548
DOI: 10.1088/1742-6596/600/1/012060
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Journal of Physics: Conference Series
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Bristol : IOP Publishing
Pages: - Volume / Issue: 600 (1) Sequence Number: 012060 Start / End Page: - Identifier: ISSN: 1742-6588
CoNE: https://pure.mpg.de/cone/journals/resource/111097776606042