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arXiv · 2210.15431

Killing tensors of generalized Lense-Thirring space-time

Saeedeh Sadeghian
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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.

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Saeedeh Sadeghian. 2022-11-15. Killing tensors of generalized Lense-Thirring space-time. https://doi.org/10.1103/physrevd.106.104028

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