Killing tensors of generalized Lense-Thirring space-time
arXiv:2210.15431 · doi:10.1103/PhysRevD.106.104028
Abstract
We investigate the Hamilton-Jacobi equation of a probe particle moving on d-dimensional generalized Lense-Thirring metric. This space-time is different from the slowly rotating Myers-Perry black hole at second order in rotation parameters. We show that the dynamics of the probe particle along the time-like geodesic of the generalized Lense-Thirring space-time is super-integrable and has more constants of motion with respect to the same dynamics on Myers-Perry black hole. We also discuss the second rank Killing tensors associated with the generalized Lense-Thirring metric.
arXiv comment5 pages, the published version
References in corpus (13)
- Black holes, hidden symmetries, and complete integrability
- Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
- `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
- Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions
- Maxwell's Equations in the Myers-Perry Geometry
- On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
- Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes
- Dirac Equation in Kerr-NUT-(A)dS Spacetimes: Intrinsic Characterization of Separability in All Dimensions
- Superintegrable models related to near horizon extremal Myers-Perry black hole in arbitrary dimension
- Integrable generalizations of oscillator and Coulomb systems via action-angle variables
- Killing tensor and Carter constant for Painleve-Gullstrand form of Lense-Thirring spacetime
- Slowly rotating black holes with exact Killing tensor symmetries
- Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter