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セミナー

seminar

Geometrization of Hamiltonian Dynamics and Hidden Symmetry of Space-times

  • SPEAKER Dr. Tsuyoshi Houri (宝利剛) (Osaka City University)
  • PLACE Kenkyu Honkan 1F, Meeting Room 1

It is known that motion of free particles in curved space-times is deeply connecting with symmetry of space-times. In particular, it has been revealed that besides isometry “hidden symmetry” is important in black hole space-times since it was discovered first in Kerr space-time. Therefore it is interesting question to study how hidden symmetry works in higher-dimensional black hole space-times. In this talk, we will study hidden symmetry of five-dimensional black ring space-times together with a “Geomtrization” method. According to Maupertuis’ principle, Hamiltonian dynamics result in geodesic problems on the corresponding manifolds, which is called “Geometrization.” In the first half of this talk, beginning with a review of hidden symmetry, we will introduce the geometrization carefully. After that, hidden symmetry of five-dimensional black ring space-times will be discussed.

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