臺灣博碩士論文加值系統

我們放寬宇宙是均勻均向的限制，只假設宇宙是均勻的，而不一定均向。所以我們引進了Bianchi的空間慨念。而我們引進J. D. Barrow的論文為基底，並從此開始探討。進而發現其中的缺陷，於是後來我們又引進的5維空間下的宇宙學Brane Cosmology的關念。並且討論其穩定與否。

1. FRW universe and Inflation
1.1 FRW universe
1.2 FRW model的缺點
1.3 Brane World

2. Special Case of Bianchi Type II Space
2.1 The Metric
2.2 The Einstein Tensor
2.3 The Perfect Fluid
2.4 The Brane Equation and the Energy-Momentum Tensor

3. Discuss the Solution of the Special Case
3.1 Conservation law
3.2 Energy condition

4. Scalar field
4.1 The action of Scalar Field
4.2 The solution of Scalar Field
4.3 Stability Analysis

5. Conclusion

References

[1] J.D. Barrow, Graduated inflationary universes, Phys. Lett. B 235 (1990) 40
J.D. Barrow and P. Saich, The Behavior of intermediate inflationary universes,
Phys. Lett. B 249 (1990) 406;
J.D. Barrow and A.R. Liddle, Perturbation spectra from intermediate inflation,
Phys. Rev. D 47 (1993) R5219 [astro-ph/9303011];
A.D. Rendall, Intermediate inflation and the slow-roll approximation,
Class. Quant. Grav. 22 (2005) 1655 [gr-qc/0501072].
[2] W.F. Kao, Anisotropically inflating universes in a scalar tensor theory, CTU preprint (2008).
[3] W.F. Kao, Anisotropic perturbation of de Sitter space,[ Eur. Phys. J. C 53 (2008) 87 ]
[4] E. Papantonopoulos , Brane Cosmology [hep-th/0202044v2]
[5] Sheng-Lan Ko , A Study on the Bianchi IX Model Universe, 交通大學碩士論文
[6] Ing-Chen Lin , Stability analysis of Bianchi space, 交通大學碩士論文
[7] Michele Maggiore & Antonio Riotto , D-branes and Cosmology [hep-th/9811089v2]
[8] Tetsuya Shiromizu & Kei-ichi Maeda & Misao Sasaki , The Einstein Equations on the 3-Brane World, [gr-qc/9910076v3]
[9] Tetsuya Shiromizu & Kei-ichi Maeda & Misao Sasaki , Gravity, Stability and Energy Conservation on the Randall-Sundrum Brane-World [hep-th/9912233v3]
[10]J.D. Barrow & Jonathan Middleton , Stable isotropic cosmological singularities in quadratic gravity, [physRev.D.75.123515]
[11] W. Israel, Nuovo Cim. 44B, 1 (1966)
[12] S.Kanno and J. Soda, Braneworld Cosmological Perturbation Theory at Law Energy ,