From 593bc4b856bc9e43254c342110aff53b06cdeed6 Mon Sep 17 00:00:00 2001 From: tobias Date: Fri, 3 Sep 1999 17:13:27 +0000 Subject: Zero'th order attempt at documenting IDLinearWaves. git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinInitialData/IDLinearWaves/trunk@25 5c0f84ea-6048-4d6e-bfa4-55cd5f2e0dd7 --- doc/documentation.tex | 51 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 51 insertions(+) create mode 100644 doc/documentation.tex (limited to 'doc') diff --git a/doc/documentation.tex b/doc/documentation.tex new file mode 100644 index 0000000..8386fc3 --- /dev/null +++ b/doc/documentation.tex @@ -0,0 +1,51 @@ +% 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} -- cgit v1.2.3