The geodesic flow of the BGPP metric is Liouville integrable

DOI10.1088/1361-6382/ace097zbMath1527.83039arXiv2302.02620OpenAlexW4381614817MaRDI QIDQ6115074

Andrzej J. Maciejewski, Galliano Valent, Maria Przybylska

Publication date: 12 July 2023

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.02620

zbMATH Keywords

integrabilitygravitational instantonsBGPP matric

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gravitational energy and conservation laws; groups of motions (83C40) Geodesics in global differential geometry (53C22) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Cites Work

• Low energy scattering of nonabelian monopoles.
• Self-dual solutions to Euclidean gravity
• Integrability versus separability for the multi-centre metrics
• The hidden symmetries of multi-centre metrics
• Supersymmetric black holes with a single axial symmetry in five dimensions
• Global dynamics of asymptotically locally AdS spacetimes with negative mass
• Integrable geodesic flows and multi-centre versus Bianchi A metrics
• Classical and quantum motion in an Eguchi–Hanson space
• Gravitational instantons, confocal quadrics and separability of the Schr dinger and Hamilton–Jacobi equations
• Bianchi IX geometry and the Einstein–Maxwell theory
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