Integrability of Myers-Perry conformal mechanics
Семинары
Семинар «Современная математическая физика»
Дата и время: пятница, 23 марта 2018 г., в 14:00
Место: Конференц-зал им. Блохинцева (4-й этаж), Лаборатория теоретической физики им. Н.Н. Боголюбова
Тема семинара: «Integrability of Myers-Perry conformal mechanics»
Докладчик: Армен Нерсесян (Ереванский Физический Институт, Армения)
Аннотация:
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. We find the general solution of the Hamilton-Jacobi equations for these systems and present explicit expressions for the Liouville integrals; discuss Killing tensors and the associated constants of motion. We analyze special cases when the system possesses more constants of motion and is hence superintegrable. Finally, we consider 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.