臺灣博碩士論文加值系統

在Einstein-Hilbert action 中加入Lorentz Chern-Simons交互作用項，深入計算Bianchi type III 和 V 的宇宙時空演化情形，並檢驗No-hair conjecture在此是否成立。

Lorentz Chern-Simons interaction is added to the Einstein-Hilbert action. We will show that the evolution of the universe in Bianchi Type III and V are both consistent with the No-hair conjecture.

中文摘要................................. I
ABSTRACT ................................ II
致謝..................................... III
Chapter 1 宇宙學 ........................ 1
1.1 簡介 ................................ 1
1.2 廣義相對論 .......................... 1
1.3 FRW 度規宇宙 ........................ 2
1.4 大爆炸假說 .......................... 2
1.5 宇宙膨脹與暴脹 ...................... 3
1.6 宇宙學常數 .......................... 4
1.7 Bianchi 時空 ........................ 4
1.8 無毛猜想(no-hair conjecture) ........ 6
1.9 Robert M. Wald能量條件 .............. 6
1.10 引力波(重力波) ..................... 7
Chapter 2 作用量 ........................ 8
2.1定義 ................................. 8
2.2 Kalb-Ramond場 (K-R場) ............... 9
2.3 運動方程式 .......................... 11
Chapter 3 Bianchi type III............... 12
3.1 Bianchi type III運動方程 ............ 12
3.2 求解Bianchi type III 運動方程 ....... 13
3.3 Bianchi type III 穩定性分析 ......... 17
Chapter 4 Bianchi type V ................ 21
4.1 Bianchi type V運動方程 .............. 21
4.2 求解Bianchi type V 運動方程 ......... 22
4.3 重新求解運動方程 .................... 24
Chapter 5 結論 .......................... 29
Appendix A: ............................. 30
Appendix B .............................. 35
Appendix C: ............................. 39
Appendix D: ............................. 42
Appendix E: ............................. 48
Appendix F............................... 51
Appendix G .............................. 53
Bibliography ............................ 55

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