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研究生: 王建勛
Chien Hsun Wang
論文名稱: 弦宇宙學的研究
Topics on String Cosmology
指導教授: 林豐利
Lin, Feng-Li
學位類別: 碩士
Master
系所名稱: 物理學系
Department of Physics
論文出版年: 2010
畢業學年度: 98
語文別: 英文
論文頁數: 50
中文關鍵詞: 弦論宇宙學暴漲理論
英文關鍵詞: string theory, cosmology, inflation theory
論文種類: 學術論文
相關次數: 點閱:170下載:22
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  • 本論文包含兩部分。在第一部分研究真空泡泡動力學和高階修正的接面條件,並且顯示在四階重力理論很難得到接面條件的運動方程。接著研究了五維真真空泡泡在Einstein-Gauss-Bonnet 理論的動力學,找到了新的束縛解。在第二部分回顧了膜暴漲模型和D3-DBI膜的暴漲模型之後,提出D4-DBI膜暴漲模型。接著研究其吸引子行為和計算宇宙背景輻射的功率譜。

    This thesis consists two parts. In part I we study the
    dynamics of vacuum bubble and junction condition with higher order correction and show that it is difficult to obtain the equation of motion in the fourth order theory of gravity. Then we study the five dimensional true vacuum bubble in Einstein-Gauss-Bonnet's theory of gravity. We find a new trapped solution. In part II we review brane inflation model and D3 brane DBI inflation models. We propose a D4 DBI inflation model. We study its attractor behavior and calculate the spectral indices and tensor-to-scalar ratio.

    1. Part I Introduction 3 2. Bubble dynamics with Einstein's theory of gravity 6 3. The junction condition with higher order corrections 12 4. 5D true vacuum bubble dynamics 15 4.1 5D true vacuum bubble dynamics in Einstein's theory of gravity 15 4.2 5D true vacuum bubble dynamics in Einstein-Gauss-Bonnet's theory of gravity 17 4.3 Hamiltonian formalism 21 5. Summary 21 6. Part II Introduction 24 7. Brane In°ation 26 7.1 Brane In°ation in Warped Geometry 27 8. D3 brane DBI in°ation model 28 8.1 DBI in°ation in AdS5 29 8.2 Attractor behavior of the DBI in°ation model 31 9. D4 DBI In°ation model 33 9.1 DBI In°ation in the Witten's geometry 33 9.2 Attractor behavior of the D4 DBI in°ation model 36 9.3 Phase diagram of attractor behavior 37 10. Power spectrum 38 11. Summary 40 12. Appendix A Israel junction condition 41 13. Appendix B derivation of higher derivative terms in junction con-dition 42

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