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Saeedeh Sadeghian

Saeedeh Sadeghian

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

Research

Title
Integrability of geodesics in near-horizon extremal geometries: Case of Myers-Perry black holes in arbitrary dimensions
Type
JournalPaper
Keywords
Myers-Perry Black Hole, Hamilton-Jacobi equation, Killing Tensor, Integrability
Year
2018
Journal Physical Review D - Particles, Fields, Gravitation and Cosmology
DOI
Researchers Hovhannes Demirchian ، Armen Nersessian ، Saeedeh Sadeghian ، Shahin Sheikh-Jabbari

Abstract

We investigate dynamics of probe particles moving in the near-horizon limit of extremal Myers-Perry black holes in arbitrary dimensions. Employing ellipsoidal coordinates we show that this problem is integrable and separable, extending the results of the odd dimensional case discussed by Hakobyan et al. [Phys. Lett. B 772, 586 (2017).PYLBAJ0370-269310.1016/j.physletb.2017.07.028]. We find the general solution of the Hamilton-Jacobi equations for these systems and present explicit expressions for the Liouville integrals and discuss Killing tensors and the associated constants of motion. We analyze special cases of the background near-horizon geometry were the system possesses more constants of motion and is hence superintegrable. Finally, we consider a near-horizon extremal vanishing horizon case which happens for Myers-Perry black holes in odd dimensions and show that geodesic equations on this geometry are also separable and work out its integrals of motion.