Analysis of ``Gauge Modes'' in Linearized Relativity

Details Analysis of ``Gauge Modes'' in Linearized Relativity Analysis of ``Gauge Modes'' in Linearized Relativity

1996-07-14

arxiv.org/abs/gr-qc/9607031v1

Class.Quant.Grav.14:L21-L27,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11pages LaTeX

Scientific paper

10.1088/0264-9381/14/1/004

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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