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% Thorn documentation template
\documentclass{article}
\begin{document}
\title{IDLinearWaves}
\author{Gabrielle Allen, Tom Goodale, Gerd Lanfermann, Joan Masso, \\
Mark Miller, Malcolm Tobias, Paul Walker}
\date{1997-present}
\maketitle
\abstract{Provides gravitational wave solutions to the linearized Einstein equations}
\section{Purpose}
There are two different linearized initial data sets provided:
\begin{enumerate}
\item plane waves \\
Plane waves cane be specified to be travelling in an arbitrary direction.
The form of the wave packet is:
\begin{equation}
A*exp\left[-(kp_ix^i-\omega_p (time-ra))^2\right]
cos(k_ix^i-\omega \ time),
\end{equation}
where:\\
A = amplitude of the wave \\
k = the wave number of the sine wave \\
$\omega$ = the frequency of the sine wave \\
kp = the wave number of the gaussian modulating the sine wave \\
$\omega_p$ = the frequency of the gaussian \\
ra = the initial position of the packet(s). \\
\item Teukolsky waves \\
Teukolsky waves are quadrupole wave solutions to the linearized
Einstein equations. For a full description, see: PRD 26:745 (1982).
\end{enumerate}
\section{Comments}
The extrinsic curvature is initialized assuming the initial lapse is one.
% Automatically created from the ccl files
% Do not worry for now.
\include{interface}
\include{param}
\include{schedule}
\end{document}
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