de Sitter 時空與 Lorentz Chern-Simons 項

Abstract

在本篇論文裡，除了考慮以往的幾何項和宇宙常數之外，更加入了超弦與超重力裡的 Kalb-Romand field 和 Chern-Simons terms ，藉由這樣的有效模型而嘗試去探討在極早期宇宙的現象。我們將深入的探討 Lorentz-Chern-Simons 交互作用項對 de Sitter 宇宙演化的影響，首先我們要求在de Sitter度規之下必須要是有解而且穩定存在的，論文中也仔細研究 LCS 作用項在 Bianchi type I 宇宙演化中所扮演的角色，並在論文中檢驗宇宙無毛定理的有效性。

In this thesis, not only considering the geometric term with cosmological constant, but added the Kalb-Romand field and Chern-Simons terms. By using this effectively action model to realize the very early universe. The cosmological evolution of the de Sitter space in the presence of the Lorentz-Chern-Simons terms is studied in details. We also try to study the effect of the LCS terms in the Bianchi type I space. No-hair conjecture is also checked carefully in this thesis.