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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳丕燊(Pisin Chen) | |
| dc.contributor.author | Wei-Ting Lin | en |
| dc.contributor.author | 林韋廷 | zh_TW |
| dc.date.accessioned | 2021-06-15T04:50:27Z | - |
| dc.date.available | 2010-08-05 | |
| dc.date.copyright | 2010-08-05 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-08-02 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45982 | - |
| dc.description.abstract | 我們利用宇宙學以及局部尺度的實驗去制約f(R) 設計者模型(designer f(R) models)。對於宇宙學尺度的制約，我們發現，儘管可以產生任何期望的宇宙膨脹，然而為了要符合大尺度結構實驗的制約，f(R)設計者遭受到微調問題 (fine-tuning problem)。對於局部重力的制約，目前為止，我們找到了通過局部重力測試的f(R)設計者模型；但是對於這些模型，甚至考慮宇宙學以及局部尺度也無法將它們從宇宙常數模型(ΛCDM model)分辨出來。對於其它在這篇碩士論文所考慮的有效狀態方程，我們未找到可通過局部重力測試的f(R)設計者模型。 | zh_TW |
| dc.description.abstract | In this thesis we constrain the designer f(R) models by the observations in both cosmological and local scales. For the cosmological observation constraints, we find that although the designer f(R) can generate any desired cosmic expansion his-tory, it suffers from the fine-tuning problem in order to fit the large scale structure constraints well. For local gravity constraints, so far we do search out the viable designer f(R) models that can satisfy the local gravity constraints but would be indistinguishable from the ΛCDM model even considering the observations in both cosmological and local scales and for other effective equation of states we consider in this thesis, we do not find out any viable designer f(R) model. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T04:50:27Z (GMT). No. of bitstreams: 1 ntu-99-R97222021-1.pdf: 1989171 bytes, checksum: a1c9eacfac550034d07283e22ce2a3e3 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 1 Introduction 11
2 Background Evolution in the f(R) Theory 17 2.1 Field Equations in the f(R) Theory . . . . . . . . . . . . . . . . . . . 17 2.2 Basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2.3 Designer f(R) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3 Cosmological Perturbation in the f(R) Theory 37 3.1 Perturbed Field Equation . . . . . . . . . . . . . . . . . . . . . . . . 37 3.2 The Boltzmann Equations . . . . . . . . . . . . . . . . . . . . . . . . 52 3.3 An Issue to Be Solved . . . . . . . . . . . . . . . . . . . . . . . . . . 73 3.4 Late-Time and Subhorizon Approximation . . . . . . . . . . . . . . . 77 4 Results 81 4.1 Designer f(R) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4.2 Large Scale Structure Constraints . . . . . . . . . . . . . . . . . . . . 86 4.2.1 Ψ/ Φ . . . . . . . . . . . . . . . . . . . . . . . 89 4.2.2 Geff/GN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 4.3 Local Gravity Constraints . . . . . . . . . . . . . . . . . . . . . . . . 112 5 Summary and Discussion 117 Bibliography 120 Appendix A 127 A.1 Some curved spacetime quantities and derivation for useful formulae . 127 A.1.1 Curved spacetime quantities . . . . . . . . . . . . . . . . . . . 127 A.1.2 Derivation for useful formulae . . . . . . . . . . . . . . . . . . 128 Appendix B 133 B.1 Our Conventions and Some useful Formulae . . . . . . . . . . . . . . 133 | |
| dc.language.iso | en | |
| dc.title | 宇宙觀測對f(R)重力理論的制約 | zh_TW |
| dc.title | Observational Constraints on the f(R) Theory of Modified Gravity | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 顧哲安(Je-An Gu),杜蕙慈(Huitzu Tu),李沃龍(Wo-Lung Lee),劉國欽(Guo-Chin Liu) | |
| dc.subject.keyword | 修正重力理論,f(R)重力理論,f(R)設計者,大尺度結構實驗制約,局部重力測試, | zh_TW |
| dc.subject.keyword | modified gravity,f(R) theory,designer f(R),large scale structure constraints,local gravity constraints, | en |
| dc.relation.page | 134 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2010-08-02 | |
| 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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