Analysis of ``Gauge Modes'' in Linearized Relativity

Richard A. Matzner; Mijan Huq; Alonso Botero; Dae Il Choi; Ullar Kask; Juan Lara; Steven Liebling; David Neilsen; Premana Premadi; Deirdre Shoemaker

doi:10.1088/0264-9381/14/1/004

Analysis of ``Gauge Modes'' in Linearized Relativity

General Relativity and Quantum Cosmology 2010-04-06 v1

Authors: Richard A. Matzner , Mijan Huq , Alonso Botero , Dae Il Choi , Ullar Kask , Juan Lara , Steven Liebling , David Neilsen , Premana Premadi , Deirdre Shoemaker

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Abstract

By writing the complete set of $3 + 1$ (ADM) equations for linearized waves, we are able to demonstrate the properties of the initial data and of the evolution of a wave problem set by Alcubierre and Schutz. We show that the gauge modes and constraint error modes arise in a straightforward way in the analysis, and are of a form which will be controlled in any well specified convergent computational discretization of the differential equations.

Keywords

gauge theory partial differential equations gauge invariance

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@article{arxiv.gr-qc/9607031,
  title  = {Analysis of ``Gauge Modes'' in Linearized Relativity},
  author = {Richard A. Matzner and Mijan Huq and Alonso Botero and Dae Il Choi and Ullar Kask and Juan Lara and Steven Liebling and David Neilsen and Premana Premadi and Deirdre Shoemaker},
  journal= {arXiv preprint arXiv:gr-qc/9607031},
  year   = {2010}
}

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Analysis of ``Gauge Modes'' in Linearized Relativity

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