Algebraic Programming in the Hamiltonian Version of General Relativity
This contribution presents procedures in Reduce using the Excalc package for algebraic programming in the Hamiltonian formulation of general relativity (ADM formalism). The procedures calculate the dynamic and the constraint equations. In addition, we have extended the procedures obtained in order to perform a complete ADM reductional procedure. Several versions of the procedures have been realised for the canonical treatment of pure gravity, gravity in interaction with material fields, inflationary models (based on a scalar field nonminimally coupled with gravity), and theories with higher-order Lagrangians.
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