New symbolic tools for differential geometry, gravitation, and field theory

DOI10.1063/1.3676296zbMath1273.83013arXiv1103.1608OpenAlexW3103905489WikidataQ115333363 ScholiaQ115333363MaRDI QIDQ2853621

Ian M. Anderson, Charles G. Torre

Publication date: 16 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1608

zbMATH Keywords

\texttt{Maple} software package \texttt{DifferentialGeometry}

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Software, source code, etc. for problems pertaining to calculus of variations and optimal control (49-04) Software, source code, etc. for problems pertaining to differential geometry (53-04) Software, source code, etc. for problems pertaining to topological groups (22-04) Software, source code, etc. for problems pertaining to global analysis (58-04)

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Cites Work

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• Gravitational waves: just plane symmetry
• Group invariant solutions without transversality
• A new algorithm for the Segre classification of the trace-free Ricci tensor
• Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
• The principle of symmetric criticality in general relativity

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