blob: e96a36966e658c87524d4cbaf6a27a23d394b7b2 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
|
\documentclass{article}
\begin{document}
\title{IDAnalyticBH}
\author{Steve Brandt, Carsten Gundlach, Joan Masso, Ed Seidel, Paul Walker}
\date{1997-1998}
\maketitle
\abstract{Analytic initial data for vacuum black hole spacetimes}
\section{Purpose}
Initial data is provided for the 3-metric, extrinsic
curvature, and if appropriate the conformal factor and it's spatial
derivatives. The current initial data sets are:
\begin{enumerate}
\item single (Schwarzschild) black hole in isotropic coordinates
$$ g_{ij} = $$
\item up to four Brill-Lindquist black holes,
\item Any number of Misner-type black holes.
To be filled in very soon\ldots I promise.
\end{enumerate}
\section{Comments}
This thorn uses no special numerical methods, however two points
are worth noting
\begin{itemize}
\item The solution for Misner is obtained by summing a sequence
\item The spatial derivatives of the conformal metric (when required)
are calculated accurately using finite differencing of the
exact solution by a very small spacing </item>
\end{itemize}
It is still to be decided how initial data should be supplied to
for systems of evolution equations which use more or different
variables to those in the einstein implementation
% Automatically created from the ccl files by using gmake thorndoc
\include{interface}
\include{param}
\include{schedule}
\end{document}
|