From 18485e65a45e3dc05a7f158a6702481dc6fc4c94 Mon Sep 17 00:00:00 2001 From: hawke Date: Tue, 14 May 2002 17:58:34 +0000 Subject: Calculation of the Ricci tensor and scalar for analysis. This uses the macros, so adds a dependence (WARNING: hard coded path) to ADMMacros. git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/ADMAnalysis/trunk@6 80bd93c7-81bc-453a-9e3f-619c0b4f6fe4 --- doc/documentation.tex | 10 ++++++++++ 1 file changed, 10 insertions(+) (limited to 'doc') diff --git a/doc/documentation.tex b/doc/documentation.tex index 4ac63f5..5b35b07 100644 --- a/doc/documentation.tex +++ b/doc/documentation.tex @@ -45,6 +45,9 @@ The components of the 3-metric in spherical coordinates \\ \item The components of the extrinsic curvature in spherical coordinates \\ ($K_{rr},K_{r\theta},K_{r\phi},K_{\theta\theta},K_{\theta\phi},K_{\phi\phi}$). +\item The components of the 3-Ricci tensor in cartesian coordinates \\ +(${\cal R}_{ij}$) for $i,j \in \{1,2,3\}. +\item The Ricci scalar (${\cal R}). \end{itemize} \section{Trace of Extrinsic Curvature} @@ -153,6 +156,13 @@ A_{r\phi} & \rightarrow & A_{r\phi}/(r\sin\theta) A_{\theta\phi} & \rightarrow & A_{\theta\phi}/r^2\sin\theta) \end{eqnarray*} +\section{Computing the Ricci tensor and scalar} +\label{sec:ricci} + +The computation of the Ricci tensor uses the ADMMacros thorn. The +calculation of the Ricci scalar uses the generic trace routine in this +thorn. + % Automatically created from the ccl files by using gmake thorndoc \include{interface} \include{param} -- cgit v1.2.3