Package SurfaceCharges
-
Computing conserved charges
in gravity using Mathematica
- You can find here the
Package SurfaceCharges for Mathematica 7.0 or 8.0 which requires
the RG&TC
package. Please download the Riemanian Geometry and Tensor
Calculus (RG&TC) package on the webpage of Sotirios Bonanos
to be able to run SurfaceCharges.
- SurfaceCharges contains a set of documented procedures to
compute the conserved charges in gravity coupled to matter
fields.
- Currently, the package includes procedures to compute charges
in : Einstein gravity coupled to scalar fields, U(1) gauge
fields and p-forms, and in Topologically Massive Gravity.
Charges can be computed in any spacetime with symmetries or
asymptotic symmetries with these matter fields.
- A documentation on how the procedures should be used can be
found here.
Some examples of how to use these procedures can be found here :
conserved
charges
in general relativity in 4 and 5 dimensions, Virasoro
algebra
in anti-de Sitter space in GR and TMG, energy of
black holes in pp-wave spacetimes, conserved
charges
for non-relativistic backgrounds.
To download
the documentation and the Mathematica files at once : here is
SurfaceCharges.zip (180ko)
- Any comments or reports on glitches are welcome (send them to
gcompere at ulb.ac.be).
Version history : Current version is 1.00.
Change with respect to v0.99: Compatibility issue with version 3.8.0
of RG-TC resolved.
Credits: Creation of this package was supported in part by funds
from the U.S National Science Foundation under grant No. PHY08-5541
to the University of California, Santa Barbara.
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