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. 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).