## 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. Since the release of the Riemanian Geometry and Tensor
Calculus (RG&TC) package has been discontinued on the webpage of Sotirios Bonanos, I placed a copy of the source code here and a copy of the documentation here. Sotirios Bonanos is the only owner of the RG&TC package.

- 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.

- Any comments or reports on glitches are welcome (send them to gcompere at ulb.ac.be).

Change with respect to v1.00: Link to RG&TC package removed.

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.

Back to Geoffrey Compere's homepage