[Commits] [svn:einsteintoolkit] Paper_EinsteinToolkit_2010/ (Rev. 128)

eloisa.bentivegna at aei.mpg.de eloisa.bentivegna at aei.mpg.de
Fri Aug 26 08:08:26 CDT 2011


User: bentivegna
Date: 2011/08/26 08:08 AM

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

Log:
 A few changes to the QuasiLocalMeasures paragraph, one reference
 added.

File Changes:

Directory: /
============

File [modified]: ET.tex
Delta lines: +12 -11
===================================================================
--- ET.tex	2011-08-26 12:18:49 UTC (rev 127)
+++ ET.tex	2011-08-26 13:08:25 UTC (rev 128)
@@ -1857,19 +1857,20 @@
 \sqrt{A/(16\pi)}$.
 
 In addition, the module \codename{QuasiLocalMeasures} implements
-certain equations from the isolated and dynamical horizon formalisms,
-as well as certain extensions defining quasi-local quantities;
-quasi-local quantities are quantities that are gauge independent, but
-depend on the choice of a particular two-sphere in a spacetime. In
-this sense, \codename{QuasiLocalMeasures} can provide
-gauge-independent measures of e.g.\ mass and angular momentum of
-regions of the spacetime enclosed in a two-sphere.
+the calculation of mass and spin multipoles from the isolated 
+and dynamical horizon formalism~\cite{Dreyer02a, Schnetter-Krishnan-Beyer-2006},
+as well as a number of other proposals for quasilocal mass, linear 
+momentum and angular momentum that have been advanced over the
+years~\cite{Laszlo04}. Even though only few rigorous proofs exist
+that establish the properties of these latter quantities, they have 
+demonstrated to be surprisingly helpful in practical situations 
+(see, e.g., reference \cite{Lovelace:2009dg}), and are therefore 
+an indispensable tool in numerical relativity.
 \codename{QuasiLocalMeasures} takes as input a horizon surface, or any
 other surface that the user specifies, such as a large coordinate
-sphere, and calculates mass, angular momentum, or other
-quantities such as the Weyl or Ricci scalars, multipole moments of the
-horizon geometry, or the three-volume element of the horizon world
-tube.
+sphere, and, in addition to physical observables such as mass and momenta, 
+can calculate other useful quantities such as the Weyl or Ricci scalars, 
+or the three-volume element of the horizon world tube.
 
 Finally, the module \codename{HydroAnalysis} additionally locates the 
 center of mass as well as the point of maximum rest mass density of a 

Directory: /local_bibtex/
=========================

File [modified]: references.bib
Delta lines: +13 -0
===================================================================
--- local_bibtex/references.bib	2011-08-26 12:18:49 UTC (rev 127)
+++ local_bibtex/references.bib	2011-08-26 13:08:25 UTC (rev 128)
@@ -17347,6 +17347,19 @@
      SLACcitation  = "%%CITATION = GR-QC 0501088;%%"
 }
 
+ at Article{Lovelace:2009dg,
+     author    = "Lovelace, Geoffrey and Chen, Yanbei and Cohen, Michael and Kaplan, Jeffrey D. and Keppel, Drew and Matthwes, Keith D. and Nichols, David A. and Scheel, Mark A. and Sperhake, Ulrich",
+     title     = "{Momentum flow in black-hole binaries: II. Numerical
+                  simulations of equal-mass, head-on mergers with
+                  antiparallel spins}",
+     journal   = "Phys. Rev.",
+     volume    = "D82",
+     year      = "2010",
+     pages     = "064031",
+     eprint    = "0907.0869",
+     SLACcitation  = "%%CITATION = 0907.0869;%%"
+}
+
 @Article{LubENP95,
  author = "Lubich, C. and Nowak, U. and P{\"o}hle, U. and Engstler, C.",
  title  = "Numerical integration of constrained mechanical systems using MEXX",



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