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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
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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.

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Richard A. Matzner, Mijan Huq, Alonso Botero, Dae Il Choi, Ullar Kask, Juan Lara, Steven Liebling, David Neilsen, Premana Premadi, Deirdre Shoemaker. 1996-07-14. Analysis of ``Gauge Modes'' in Linearized Relativity. https://doi.org/10.1088/0264-9381%2F14%2F1%2F004

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