弦宇宙學的研究

Abstract

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.