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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/32534

    Title: 在高維克爾黑洞時空下的測地線
    Other Titles: Geodesic in higher dimensional spacetime of kerr black holes
    Authors: 任國綸;Jen, Kuo-lun
    Contributors: 淡江大學物理學系碩士班
    曹慶堂;Cho, Hing-tong
    Keywords: 測地線;高維;克爾黑洞;Geodesic;Higher dimension;Kerr black holes
    Date: 2007
    Issue Date: 2010-01-11 02:17:38 (UTC+8)
    Abstract: 我們主要的工作是討論在高維Kerr時空下的穩定圓軌道存在性
    程的變化行為。最後,我們繪出依各運動常數變化的effective potential 圖形,來考量在一般情形下,穩定圓軌道的存在性問題。
    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.
    Appears in Collections:[物理學系暨研究所] 學位論文

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