Geoffrey Compère's Home Page

Surface charge package "Computing conserved charges in gravity using Mathematica" :

You can find here the Package SurfaceCharges for Mathematica 7.0 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, Topologically Massive Gravity coupled to scalar fields, U(1) gauge fields and p-forms. 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 physics.ucsb.edu).