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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳丕燊(Pisin Chen) | |
| dc.contributor.author | Yu-Chien Huang | en |
| dc.contributor.author | 黃于虔 | zh_TW |
| dc.date.accessioned | 2021-06-08T00:13:57Z | - |
| dc.date.copyright | 2013-08-06 | |
| dc.date.issued | 2013 | |
| dc.date.submitted | 2013-08-02 | |
| dc.identifier.citation | Bibliography
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/17452 | - |
| dc.description.abstract | 我們用一個簡單現象學上的模型來描述在暴漲時期之前的兩種宇宙拓樸缺陷：(1)以疇壁主的緩慢加速膨脹，和(2)以宇宙弦為主的等速度膨脹。此時期的存在可修正宇宙背景輻射在標準宇宙模型所預測的頻譜和觀測頻譜之間在低模態上的不吻合。考慮宇宙裡的物質為理想流體伽普立金氣體，能提供拓樸缺陷到暴漲時期間轉換的現象學上等效描述。
此外，我們也針對我們提出的模型並利用博戈留波夫轉換來預測重力子在宇宙膨脹產生的數量以求得重力波頻譜。而部分波段有可能在不久的未來被現在一些準備中的探測器偵測到。 | zh_TW |
| dc.description.abstract | We present a simple toy model corresponding to a network of frustrated topological defects of domain walls or cosmic strings that exist previous to the standard slow-roll inflationary era of the universe. Such a network (i) can produce a slower inflationary era than that of the standard scenario if it corresponds to a network of frustrated domain walls or (ii) can induce a vanishing universal acceleration; i.e., the universe would expand at a constant speed, if it corresponds to a network of frustrated cosmic strings. Those features are phenomenologically modeled by a Chaplygin gas that can interpolate between a network of frustrated topological defects and a de Sitter-like or a power-law inflationary era. We show that this scenario can alleviate the quadruple anomaly of the cosmic microwave background spectrum. Using the method of the Bogoliubov coefficients, we obtain the spectrum of the gravitational waves as would be measured today for the whole range of frequencies. We comment on the possible detection of this spectrum by the planned detectors like BBO and DECIGO. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T00:13:57Z (GMT). No. of bitstreams: 1 ntu-102-R00222014-1.pdf: 521189 bytes, checksum: a2898fa235be1c39e05245ef7747bb9b (MD5) Previous issue date: 2013 | en |
| dc.description.tableofcontents | Contents
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i Abstract (Chinese) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v 1 Introduction 1 1.1 The expanding universe . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 In ation mechanism . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Slow-roll parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 Power spectrum and spectrum index . . . . . . . . . . . . . . . . . . 6 1.5 Quadruple anomaly . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.6 Topological defects . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2 Model Building 9 2.1 Generalized Chaplygin gas model . . . . . . . . . . . . . . . . . . . . 9 2.2 Scalar eld potential . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.3 Constrains on parameters . . . . . . . . . . . . . . . . . . . . . . . . 13 2.4 Alternative Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.4.1 Constraints on parameters . . . . . . . . . . . . . . . . . . . . 16 2.4.2 Scalar eld potential . . . . . . . . . . . . . . . . . . . . . . . 17 3 Cosmological Perturbations 20 3.1 Metric perturbations . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.2 Gauge transformations and gauge invariant variables . . . . . . . . . 21 3.3 Scalar perturbation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.3.1 Perturbed scalar eld equation . . . . . . . . . . . . . . . . . . 23 3.3.2 Constraint equations . . . . . . . . . . . . . . . . . . . . . . . 24 3.3.3 Gauge invariant variables . . . . . . . . . . . . . . . . . . . . . 25 3.3.4 Comoving curvature perturbation . . . . . . . . . . . . . . . . 26 3.4 Tensor perturbations . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.4.1 Fields quantization . . . . . . . . . . . . . . . . . . . . . . . . 27 3.4.2 Bogoliubov transformation . . . . . . . . . . . . . . . . . . . . 28 3.4.3 Gravitational waves energy spectrum . . . . . . . . . . . . . . 29 4 Numerical Solutions 31 4.1 Scalar perturbations . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 4.1.1 Boundary conditions . . . . . . . . . . . . . . . . . . . . . . . 32 4.1.2 Curvature power spectrum . . . . . . . . . . . . . . . . . . . . 34 4.1.3 CMB termperature anisotropy spectrum . . . . . . . . . . . . 36 4.2 Tensor perturbations . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 4.2.1 Boundary conditions . . . . . . . . . . . . . . . . . . . . . . . 38 4.2.2 Integration . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 4.2.3 Gravitational waves spectra . . . . . . . . . . . . . . . . . . . 41 5 Conclusions 43 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 | |
| dc.language.iso | en | |
| dc.title | 利用伽普立金氣體考慮宇宙暴漲前的拓樸缺陷時期 | zh_TW |
| dc.title | Slow-roll inflation preceded by a topological defect phase a la Chaplygin gas | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 101-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.coadvisor | Mariam Bouhmadi-Lopez(Mariam Bouhmadi-Lopez) | |
| dc.contributor.oralexamcommittee | 泉圭介(Izumi Keisuke) | |
| dc.subject.keyword | quadruple anomaly,slow-roll inflation,Chaplygin gas,topological defects, | zh_TW |
| dc.subject.keyword | 低模態異常,宇宙暴漲,伽普立金氣體,拓樸缺陷, | en |
| dc.relation.page | 48 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2013-08-02 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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