diff options
author | jthorn <jthorn@e296648e-0e4f-0410-bd07-d597d9acff87> | 2003-06-02 11:16:00 +0000 |
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committer | jthorn <jthorn@e296648e-0e4f-0410-bd07-d597d9acff87> | 2003-06-02 11:16:00 +0000 |
commit | f89d8bd3f248e132cdd4125d3b1391798bd64b3d (patch) | |
tree | 5cbb103c3fb3d87c2b1dc10cf276b3f25e7115d0 /doc/documentation.tex | |
parent | 7234e803c1b27a6b5d84a0f5a7ea85415940b601 (diff) |
C The Robertson-Walker metric doesn't work ==> move it to ../../archive/
C
C The argument rama is the R(t) in the
C Robertson-Walker metric, and if this is passed correctly then this
C subroutine computes the correct metric. But the rest of this thorn
C doesn't know to pass this value. :( :( See Mitica's Cosmo thorn
C for a better way to get this metric.
git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinInitialData/Exact/trunk@177 e296648e-0e4f-0410-bd07-d597d9acff87
Diffstat (limited to 'doc/documentation.tex')
-rw-r--r-- | doc/documentation.tex | 64 |
1 files changed, 32 insertions, 32 deletions
diff --git a/doc/documentation.tex b/doc/documentation.tex index ee36522..3467456 100644 --- a/doc/documentation.tex +++ b/doc/documentation.tex @@ -244,8 +244,8 @@ Model Name \multicolumn{3}{l}{\bf Cosmological spacetimes} \\ {\tt "Lemaitre"} & Yes & Lemaitre-type spacetime \\ -{\tt "Robertson-Walker"} - & Yes & Robertson-Walker spacetime \\ +%%{\tt "Robertson-Walker"} +%% & Yes & Robertson-Walker spacetime \\ {\tt "de Sitter"} & Yes & de~Sitter spacetime \\ {\tt "de Sitter+Lambda"} @@ -1000,36 +1000,36 @@ and the scale factor (radius) of the universe at time $t = 0$, $R_0 = \verb|Lemaitre__R0|$. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\subsection{Robertson-Walker spacetime} -\label{AEIThorns/Exact/sect-Robertson-Walker} - -\verb|Exact::exact_model = "Robertson-Walker"| specifies a -Robertson-Walker spacetime as described in Hawking and Ellis section~5.3 -and MTW section~27.11 (see also gr-qc/0110031), -transformed to the usual Cactus $(t,x,y,z)$ Cartesian-topology coordinates. -The general Robertson-Walker line element in $(t,r,\theta,\phi)$ coordinates -is -\begin{equation} -ds^2 = -dt^2 + R(t)^2 \left[ \frac{dr^2}{1 - kr^2} + r^2 \, d\Omega^2 \right] -\end{equation} - -The physics parameters are -the scale factor $R(t)$ at time $t = 0$, $R_0 = \verb|Robertson_Walker__R0|$, -a parameter $\rho = \verb|Robertson_Walker__rho|$ which is related to -the actual value of the matter density in the Universe, -the geometry curvature parameter $k = \verb|Robertson_Walker__k|$, -which can take (only) the values $k=-1$, $0$, or $+1$, corresponding -to open, flat, or closed 3-geometries, and finally -the Boolean parameter \verb|Robertson_Walker__pressure| to select -whether or not to include pressure terms in the model. If pressure -is included we have a radiation-dominated universe $p = \frac{1}{3} \rho$; -if pressure is not included we have a matter-dominated universe $p=0$. - -For a good simulation it is necessary to give good numerical values -for the above parameters (they are very strictly related, through the -Einstein equations). See gr-qc/0110031 for some examples. - +%% +%%\subsection{Robertson-Walker spacetime} +%%\label{AEIThorns/Exact/sect-Robertson-Walker} +%% +%%\verb|Exact::exact_model = "Robertson-Walker"| specifies a +%%Robertson-Walker spacetime as described in Hawking and Ellis section~5.3 +%%and MTW section~27.11 (see also gr-qc/0110031), +%%transformed to the usual Cactus $(t,x,y,z)$ Cartesian-topology coordinates. +%%The general Robertson-Walker line element in $(t,r,\theta,\phi)$ coordinates +%%is +%%\begin{equation} +%%ds^2 = -dt^2 + R(t)^2 \left[ \frac{dr^2}{1 - kr^2} + r^2 \, d\Omega^2 \right] +%%\end{equation} +%% +%%The physics parameters are +%%the scale factor $R(t)$ at time $t = 0$, $R_0 = \verb|Robertson_Walker__R0|$, +%%a parameter $\rho = \verb|Robertson_Walker__rho|$ which is related to +%%the actual value of the matter density in the Universe, +%%the geometry curvature parameter $k = \verb|Robertson_Walker__k|$, +%%which can take (only) the values $k=-1$, $0$, or $+1$, corresponding +%%to open, flat, or closed 3-geometries, and finally +%%the Boolean parameter \verb|Robertson_Walker__pressure| to select +%%whether or not to include pressure terms in the model. If pressure +%%is included we have a radiation-dominated universe $p = \frac{1}{3} \rho$; +%%if pressure is not included we have a matter-dominated universe $p=0$. +%% +%%For a good simulation it is necessary to give good numerical values +%%for the above parameters (they are very strictly related, through the +%%Einstein equations). See gr-qc/0110031 for some examples. +%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \subsection{de~Sitter spacetime} |