[Commits] [svn:einsteintoolkit] Paper_EinsteinToolkit_2010/ (Rev. 65)

[cott at tapir.caltech.edu]

User: cott
Date: 2011/04/27 12:47 PM

Modified:
 /
  ET.tex
 /local_bibtex/
  ott_references.bib

Log:
 * intro  to spacetime evoultion

File Changes:

Directory: /
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File [modified]: ET.tex
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===================================================================
--- ET.tex	2011-04-18 14:36:52 UTC (rev 64)
+++ ET.tex	2011-04-27 17:47:39 UTC (rev 65)
@@ -931,9 +931,27 @@
 In the following, we assume that the reader is familiar with the
 basics of numerical relativity and GR hydrodynamics. Detailed
 introductions to numerical relativity have recently been given by
-Alcubierre~\cite{alcubierre:08} and Baumgarte \& Shapiro~\cite{baumgarte:10}.
-GR hydrodynamics has been reviewed by Font~\cite{font:08}.
+Alcubierre~\cite{alcubierre:08}, Baumgarte \& Shapiro~\cite{baumgarte:10},
+and Centrella et al.~\cite{centrella:10}.
+GR hydrodynamics has been reviewed by Font~\cite{font:08}. In the
+following, we assume the reader to be familiar with general relativity.
 
+The Einstein Toolkit provides code to evolve the Einstein equations
+\begin{equation}
+G^{\mu\nu} = 8 \pi T^{\mu\nu}\,,
+\end{equation}
+in the $3+1$ split, foliating 4D spacetime into sequences of spacelike
+3-hypersurfaces (slices) connected by timelike normal vectors. In the
+following, we will use Latin letters to index 3-quantities and reserve
+Greek letters to index 4-quantitites. The $3+1$ split introduces 4
+gauge degrees of freedom, the lapse function $\alpha$ that describes
+the advance of proper time with respect to coordinate for a normal
+observer\footnote{A normal observer follows a wordline tanget to the
+  unit normal on the 3-hypersurface.} and the shift vector $\beta^i$
+that describes how spatial coordinates change from one slice to the
+next.
+
+
 \todo{state Einstein equations, mention conventions, give stress
 energy tensor}
 

Directory: /local_bibtex/
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File [modified]: ott_references.bib
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===================================================================
--- local_bibtex/ott_references.bib	2011-04-18 14:36:52 UTC (rev 64)
+++ local_bibtex/ott_references.bib	2011-04-27 17:47:39 UTC (rev 65)
@@ -102,3 +102,16 @@
   pages =        044023,
 }
 
+ at ARTICLE{centrella:10,
+   author = {{Centrella}, J. and {Baker}, J.~G. and {Kelly}, B.~J. and {van Meter}, J.~R.
+	},
+    title = "{Black-hole binaries, gravitational waves, and numerical relativity}",
+  journal = {Reviews of Modern Physics},
+     year = 2010,
+    month = oct,
+   volume = 82,
+    pages = {3069},
+      doi = {10.1103/RevModPhys.82.3069},
+   adsurl = {http://adsabs.harvard.edu/abs/2010RvMP...82.3069C},
+}
+