Geodesic in Higher Dimensional Spacetime of Kerr Black Holes

• Main Authors: Kuo-Lun Jen, 任國綸
• Other Authors: Hing-Tong Cho
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/99200444550119533211

碩士 === 淡江大學 === 物理學系碩士班 === 95 === Our main work is to discuss the existence problem of stability circular orbit in higher dimensional Kerr spacetimes. The corresponding geodesics are complicated and difficult to solve. On the other hand, there is no upper limit on the angular momenta of Kerr black holes in dimensions higher than six. Thus, we simplify the geodesic by choosing to work with six dimensional Kerr black holes with one rotation direction in this thesis. We first discuss the existence problem of stability circular orbit in equatorial plane. Furthermore, we deal with the geodesic using a perturbative expansion when the angular momentum of the Kerr black hole is large in order to discuss the existence problem of stability circular orbit in general(not in equatorial plane) and the behavior of the geodesic. Finally, we plot the effective potentials for various of the constants of motion to consider the existence problem of stable circular orbit in general case.