Integrability and approximation in Kerr space-time

DOI10.1016/0375-9601(94)90516-9zbMath0961.83500OpenAlexW2091244219MaRDI QIDQ1964426

Yan-Chao Ge, Xiaoling Leng

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90516-9

Mathematics Subject Classification ID

Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Cites Work

• Non-integrability of the truncated Toda lattice Hamiltonian at any order
• Non integrability of the \(J_ 2\) problem
• Killing tensors and the separation of the Hamilton-Jacobi equation
• Regular and stochastic motion
• Hamilton-Jacobi and Schrödinger separable solutions of Einstein's equations
• On quadratic first integrals of the geodesic equations for type [22 spacetimes]
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Integrals of the Toda lattice
• The Toda lattice. II. Existence of integrals
• Maximal Analytic Extension of the Kerr Metric
• Integrals of nonlinear equations of evolution and solitary waves
• Global Structure of the Kerr Family of Gravitational Fields
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