2024 : 5 : 27
Saeedeh Sadeghian

Saeedeh Sadeghian

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Science
Address: University of Mazandaran
Phone: 011-35302442

Research

Title
Hidden symmetries of near-horizon extremal Kerr-AdS-NUT geometries
Type
JournalPaper
Keywords
Hidden Symmetries, Killing Tensor, Integrability, Black Hole
Year
2018
Journal Physical Review D - Particles, Fields, Gravitation and Cosmology
DOI
Researchers Saeedeh Sadeghian

Abstract

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.