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Article
New symbolic tools for differential geometry, gravitation, and field theory
Journal of Mathematical Physics
  • Ian Anderson, Utah State University
  • Charles Torre, Utah State University
Document Type
Article
Publication Date
1-18-2012
DOI
10.1063/1.3676296
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.

Citation Information
Ian Anderson and Charles Torre. "New symbolic tools for differential geometry, gravitation, and field theory" Journal of Mathematical Physics Vol. 53 (2012)
Available at: http://works.bepress.com/ian_anderson/74/