DATE: |
2011-11-01 11:00 - 12:00 |
PLACE: |
Kenkyu Honkan 1F, Meeting Room 1 |
TITLE: |
Geometrization of Hamiltonian Dynamics and Hidden Symmetry of Space-times |
CONTACT: |
Shin-ya TOMIZAWA, Tomizawa-AT-post.kek.jp |
SPEAKER: |
Dr. Tsuyoshi Houri (OsakaˇˇCity University) |
LANGUAGE: |
English |
URL: |
http://research.kek.jp/group/www-theory/schedule.html |
ABSTRACT: |
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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