Global structures, stabilities and cosmological implications of Einstein-Yang-Mills systems Einstein-Yang-Mills系の大局的構造、安定性および宇宙論的意義
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著者
書誌事項
- タイトル
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Global structures, stabilities and cosmological implications of Einstein-Yang-Mills systems
- タイトル別名
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Einstein-Yang-Mills系の大局的構造、安定性および宇宙論的意義
- 著者名
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丁, 数学
- 著者別名
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テイ, スウガク
- 学位授与大学
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東京工業大学
- 取得学位
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博士 (理学)
- 学位授与番号
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甲第3120号
- 学位授与年月日
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1996-03-26
注記・抄録
博士論文
目次
- 論文目録 / (0002.jp2)
- ABSTRACT / p2 (0004.jp2)
- Contents / p3 (0005.jp2)
- 1 INTRODUCTION / p1 (0007.jp2)
- 1.1 Motivation / p1 (0007.jp2)
- 1.2 Coupled SU(2) Einstein-Yang-Mills system / p4 (0010.jp2)
- 1.3 3+1 Decomposition of EYM equation / p6 (0012.jp2)
- 1.4 Fundamental properties of the EYM system / p7 (0013.jp2)
- 1.5 Conventions and notations / p9 (0015.jp2)
- 2 PARTICLE-LIKE SOLUTIONS AND YM COSMOLOGY / p10 (0016.jp2)
- 2.1 Witten's ansatz / p11 (0017.jp2)
- 2.2 Particle-like-BK Solutions / p12 (0018.jp2)
- 2.3 Yang-Mills cosmology / p15 (0021.jp2)
- 2.4 Cosmological sphaleron / p17 (0023.jp2)
- 3 COSMOLOGY SPHALERON FROM REAL TUNNELING / p19 (0025.jp2)
- 3.1 Real tunneling geometry and YM field / p20 (0026.jp2)
- 3.2 Evolution in Lorentzian signature region / p22 (0028.jp2)
- 4 DYNAMICS OF THE YMC BUBBLES IN BARTNIK-MCKINNON SPACETIMES / p27 (0033.jp2)
- 4.1 Child universe / p28 (0034.jp2)
- 4.2 Dynamics of bubbles between BK and YMC spacetimes / p29 (0035.jp2)
- 5 GENERALIZATION OF PENROSE SINGULARITY THEOREM AND INITIAL NON-SINGULARITY OF YMC-BK BUBBLE / p37 (0043.jp2)
- 5.1 Introduction / p37 (0043.jp2)
- 5.2 A generalized Penrose singularity theorem / p39 (0045.jp2)
- 5.3 Singularity of spacetime with thin wall / p42 (0048.jp2)
- 5.4 Non-singularity of the YMC-BK bubble / p44 (0050.jp2)
- 6 SUMMARY / p46 (0052.jp2)
- ACKNOWLEDGEMENTS / p48 (0054.jp2)
- A EINSTEIN FIELD EQUATION ON THIN WALL AND JUNCTION CONDITIONS / p49 (0055.jp2)
- B FORM OF [数式] ON SPHERICAL YANG-MILLS FIELD WALLS / p51 (0057.jp2)
- C CONFORMAL TRANSFORMED MINKOWSKI SPACETIME / p54 (0060.jp2)
- BIBLIOGRAPHY / p56 (0062.jp2)
- FIGURES CAPTIONS / p60 (0066.jp2)
- FIGURES / p61 (0068.jp2)