Structural equations for Killing tensors of arbitrary rank

DOI10.1016/S0010-4655(98)00123-4zbMath1008.53018OpenAlexW2090294097WikidataQ127982720 ScholiaQ127982720MaRDI QIDQ1125189

S. H. Smith

Publication date: 30 November 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(98)00123-4

zbMATH Keywords

geodesicsspace-timeKilling tensor

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Equations of motion in general relativity and gravitational theory (83C10) Local Riemannian geometry (53B20)

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Uses Software

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Cites Work

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• Killing tensors and the separation of the Hamilton-Jacobi equation
• Examples of the investigation of differential equations with modularized programs
• Polynomial constants of motion in flat space
• Killing tensors in spaces of constant curvature
• Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations
• Structural equations for Killing tensors of order two. I
• Structural equations for Killing tensors of order two. II
• Conformal Killing tensors in reducible spaces
• Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
• General Relativistic Gravitational Field of a Rigidly Rotating Disk of Dust: Solution in Terms of Ultraelliptic Functions
• Global Structure of the Kerr Family of Gravitational Fields
• Special quadratic first integrals of geodesics
• The Fundamental Theorem on Quadratic First Integrals
• Limits of spacetimes