Document Type
Article
Journal/Book Title/Conference
Journal of Mathematical Physics
Volume
53
Publication Date
1-18-2012
Abstract
DifferentialGeometry is a Maple software package which symbolically performs fun- damental operations of calculus on manifolds, differential geometry, tensor calculus, spinor calculus, Lie algebras, Lie groups, transformation groups, jet spaces, and the variational calculus. These capabilities, combined with dramatic recent improve- ments in symbolic approaches to solving algebraic and differential equations, have allowed for development of powerful new tools for solving research problems in gravitation and field theory. The purpose of this paper is to describe some of these new tools and present some advanced applications involving: Killing vector fields and isometry groups, Killing tensors, algebraic classification of solutions of the Einstein equations, and symmetry reduction of field equations.
Recommended Citation
Anderson, Ian and Torre, Charles, "New symbolic tools for differential geometry, gravitation, and field theory" (2012). Presentations and Publications. Paper 1.
https://digitalcommons.usu.edu/dg_pres/1
