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;%%" }
+@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",