研究生: |
趙瑀心 Chao Yu-Hsin |
---|---|
論文名稱: |
對f(R)宇宙學理論中宇宙早期演化之研究 A Study on the Early Cosmic Evolution in f(R) Cosmology |
指導教授: |
李沃龍
Lee, Wo-Lung |
學位類別: |
碩士 Master |
系所名稱: |
物理學系 Department of Physics |
論文出版年: | 2012 |
畢業學年度: | 100 |
語文別: | 中文 |
論文頁數: | 53 |
中文關鍵詞: | 宇宙學 、f(R)重力理論 、CAMB 、f(R)設計者模型 |
論文種類: | 學術論文 |
相關次數: | 點閱:135 下載:7 |
分享至: |
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
早期宇宙學研究中,認為宇宙的組成為一般物質與輻射。然而1998年,SNIa觀測結果顯示:宇宙正在加速膨脹。由於只有一般物質與輻射的宇宙並不會加速膨脹,為解釋此現象,科學家引入Λ-CDM模型。但此模型雖解釋了宇宙加速膨脹,卻有宇宙常數問題。為避免使用宇宙常數,科學家轉往嘗試其他模型;本研究將重點置於f(R)重力理論的宇宙演化中。
由於f(R)重力理論的宇宙早期演化與廣義相對論十分接近,故人們以廣義相對論宇宙早期演化的行為作為此模型早期行為的近似。本研究修改CAMB程式,由宇宙極早期開始演算f(R)重力理論的宇宙演化,比較其與廣義相對論計算所得的差異,推論先前人們的近似法是否合理。
本研究測試f(R)設計者模型與其餘四種f(R)模型,發現對於一新的f(R)模型,其與廣義相對論演算所得的差異在紅移z=65之後可能大於10^{-3}。故以廣義相對論早期的演化作為f(R)重力理論宇宙早期行為的近似一法,最晚只可用到z=65,晚於此時間,f(R)重力理論宇宙的演化與廣義相對論的差異將不可忽略。
[1] Barbara Ryden, " Introduction to Cosmology." Addison-Wesley. (2002) ISBN:0805389121.
[2] William C. Keel "The Road to Galaxy Formation (2nd ed.)". Springer-Praxis. (2007) ISBN 978-3-540-72534-3.
[3] S. Perlmutter et al. (The Supernova Cosmology Project) (1999). "Measurements of Omega and Lambda from 42 high redshift supernovae". Astrophysical J. 517 (2): 565–86. arXiv:astro-ph/9812133. Bibcode 1999ApJ...517..565P. DOI:10.1086/307221.
[4] Adam G. Riess et al. (Supernova Search Team) (1998). "Observational evidence from supernovae for an accelerating universe and a cosmological constant". Astronomical J. 116 (3): 1009–38. arXiv:astro-ph/9805201. Bibcode 1998AJ....116.1009R. DOI:10.1086/300499.
[5] G. Paal et al. (1992). "Inflation and compactification from galaxy redshifts?". ApSS 191: 107–24. Bibcode 1992Ap&SS.191..107P. DOI:10.1007/BF00644200.
[6] N. Jarosik et al. (2010). "Seven-Year Wilson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors, and Basic Results". [arXiv:1001.4744v1 astro-ph.CO]]
[7] James B. Hartle, "Gravity, An Intorduction to Einstein's General Relativity." Addison-Wesley. (2003) ISBN:0-8053-8662-9
[8] Luca Amendola, Shinji Tsujikawa, "Dark Energy Theory and Observations." Cambridge University. (2010) ISBN: 978-0521516006
[9] http://en.wikipedia.org/wiki/Einstein-Hilbert_action.
[10] http://en.wikipedia.org/wiki/F(R)_gravity.
[11] A. De Felice and S. Tsujikawa, “f(R) theories,” Living Rev. Rel. 13, 3 (2010) [arXiv:1002.4928 [gr-qc]].
[12] C. P. Ma and E. Bertschinger, "Cosmological perturbation theory in the synchronous and conformal Newtonian gauges," Astrophys. J. 455, 7 (1995) [arXiv:astro-ph/9506072].
[13] S. Tsujikawa, “Matter density perturbations and effective gravitational constant in modified gravity models of dark energy,” Phys. Rev. D 76, 023514 (2007) [arXiv:0705.1032 [astro-ph]].
[14] S. Tsujikawa et al. "The dispersion of growth of matter perturbations in f(R) gravity,” Phys. Rev. D 80, 084044 (2009) [arXiv:0908.2669 astro-ph.CO]].
[15] Je-An Gu et al. "The Early-Time Evolution of the Cosmological Perturbations in f(R) Gravity," (2011) [arXiv:1108.3038v1 [astro-ph.CO]]
[16] Wei-Ting Lin, Je-An Gu, Pisin Chen, “Cosmological and Solar-System Test of f(R) Modified Gravity,” (2010) , [arXiv:1009.3488v1 [astro-ph.CO]]
[17] Antony Lewis, Anthony Challinor, "Evolution of cosmological dark matter perturbations," Phys Rev D 66, 023531
[18] Luca Amendola, Shinji Tsujikawa, "Dark Energy," ISBN-13 978-0-511-75008-3 eBook, ISBN-13 978-0-521-51600-6 Hardback, Cambrige.
[19] Luca Amendol et al. "Conditions for the cosmological viability of f(R) dark energy models," Phys. Rev. D75, 083504 (2007), [arXiv:gr-qc/0612180v2].
[20] Rachel Bean et al. "Dynamics of Linear Perturbations in f(R) Gravity," [arXiv:astro-ph/0611321v2] (2007)