[Commits] [svn:einsteintoolkit] Paper_EinsteinToolkit_2010/ (Rev. 259)
tanja.bode at physics.gatech.edu
tanja.bode at physics.gatech.edu
Mon Mar 5 16:00:00 CST 2012
User: tbode
Date: 2012/03/05 04:00 PM
Modified:
/
ET.tex
Log:
Clear up TOV solver atmosphere statement.
File Changes:
Directory: /
============
File [modified]: ET.tex
Delta lines: +2 -2
===================================================================
--- ET.tex 2012-03-05 21:01:13 UTC (rev 258)
+++ ET.tex 2012-03-05 21:59:59 UTC (rev 259)
@@ -1048,13 +1048,13 @@
$\Phi$ the logarithm of the lapse. The routine also supplies the analytically known
solution in the exterior,
\begin{eqnarray}
- P & = & {\tt TOV\_atmosphere},\nonumber \\
+ P & = & P({\tt TOV\_atmosphere}),\nonumber \\
m & = & M, \nonumber\\
\Phi & = &\dfrac{1}{2} \log(1-2M / r)
\label{eq:TOVexterior}
\end{eqnarray}
where {\tt TOV\_atmosphere} is a parameter used to specify the density of the
-ambient atmosphere. Since the isotropic radius $\bar{r}$ is the more
+ambient atmosphere and a polytropic equation of state is assumed. Since the isotropic radius $\bar{r}$ is the more
commonly preferred choice to initiate dynamical calculations, the code then
transforms all variables into isotropic coordinates, integrating the radius
conversion formula
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