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

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

Log: * intro to spacetime evoultion

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File [modified]: ET.tex Delta lines: +20 -2 =================================================================== --- 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/ =========================

File [modified]: ott_references.bib Delta lines: +13 -0 =================================================================== --- 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, }

+@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%7D, +} +