مشخصات پژوهش

عنوان	Integrability of geodesics in near-horizon extremal geometries: Case of Myers-Perry black holes in arbitrary dimensions
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Myers-Perry Black Hole, Hamilton-Jacobi equation, Killing Tensor, Integrability
چکیده	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.
پژوهشگران	محمد مهدی شیخ جباری (نفر چهارم)، سعیده صادقیان (نفر سوم)، آرمن نرسسیان (نفر دوم)، Hovhannes Demirchian (نفر اول)