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  • 學位論文

特定蟲洞模型的能動張量特性

Properties of a specific wormhole

指導教授 : 高文芳

摘要


理論上的蟲洞,已知需要由負能量的不穩定物質組成,是否可以透過特殊的透視方式來確認這個結論,是這篇論文的動機。蟲洞可以被視為置入高維時空的低維表面結構,我們將討論特殊的蟲洞模型,被置入高一維的時空時,從低維表面時空看到的物理現象。只要知道一個低維表面時空的度規張量,就可以透過愛因斯坦方程式了解其能動張量的性質,從而分析組成蟲洞的物質特性。我們將討論的蟲洞結構,其截面屬於橢圓類型,所以這個蟲洞可以用來連結同一個宇宙不同的區域。我們也會討論測試粒子在這個蟲洞運動的物理現象。

關鍵字

蟲洞

並列摘要


Theoretically wormholes are known to construct by unstable species of negative energy. It is the motivation that know whether this conclusion can be confirmed by special perspective. Wormholes can be thought of as a low-dimensional surface structure placed in high dimensional space-time. We will discuss the physical phenomena of special wormhole models that are seen from the low-dimensional surface space-time when the special wormhole models placed in the higher one-dimensional space-time. If we know the metric tensor of a low-dimensional space-time, we can know the properties of the stress-energy tensor by Einstein's field equation, so as to analyze the properties of wormhole. We will discuss the wormhole structure, the section cut like to the elliptical type, so the wormhole can connect the same universe in different regions. We will also discuss the geodesic of test particle movement in this wormhole.

並列關鍵字

Wormhole

參考文獻


[2] Sean Carroll, “Spacetime and Geometry: An Introduction to General Relativity”, Addison Wesley (2004).
[4] Michael S. Morris, Kip S. Thorne, and Ulvi Yurtsever, Wormholes, Time Machines, and the Weak Energy Condition, Phys. Rev. Lett. 61 (1988) 1446.
[6] W. F. Kao and Ue-Li Pen, Generalized Friedmann-Robertson-Walker Metric and reduddancy in generalized Einstein equation, Phys. Rev. D44, (1991) 3974-3977.
[7] Einstein Albert and Nathan Rosen, The particle problem in the general theory of relativity , Phys. Rev. Volume 48 (1935) .
[8] W.F. Kao, Introduction to Cosmology(2012), http://web.it.nctu.edu.tw/~wfgore/cosmology121.pdf

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