2018/07/31 by S. Sadeghian, Saeedeh Sadeghian · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Geodesic #Geometry #Homogeneous space #Horizon #Integrable system #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.98.084031
published in Physical review. D/Physical review. D. 98(8) (American Physical Society) · 16 pages, matches published version
openalex publication_date 2018/10/17 · arxiv created 2018/10/18 · arxiv updated 2018/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the hidden symmetries, the symmetries associated with Killing tensors, of the near-horizon geometry of odd-dimensional Kerr-AdS-NUT black holes in two limits: generic extremal and extremal vanishing horizon (EVH) limits. Starting from a Kerr-AdS-NUT black hole in ellipsoidal coordinates which admit integrable geodesic equations, we obtain the near-horizon extremal and EVH geometries and their principal and Killing tensors by taking the near-horizon limit. We explicitly demonstrate that geodesic equations are separable and integrable on these near-horizon geometries. We also compute the constants of motion and read the Killing tensors of these near-horizon geometries from the constants of motion. As expected, they are the same as the Killing tensors given by taking the near-horizon limit.