Stability of the Friedmann universe in the Poincaré gauge theory ポアンカレ・ゲージ理論におけるフリードマン宇宙の安定性
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著者
書誌事項
- タイトル
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Stability of the Friedmann universe in the Poincaré gauge theory
- タイトル別名
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ポアンカレ・ゲージ理論におけるフリードマン宇宙の安定性
- 著者名
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荻野, 真介
- 著者別名
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オギノ, シンスケ
- 学位授与大学
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広島大学
- 取得学位
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博士 (理学)
- 学位授与番号
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乙第2445号
- 学位授与年月日
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1993-07-26
注記・抄録
博士論文
In General Relativistic cosmology, it is well known that quantum effects due to vacuum polarization make the Friedmann universe unstable. Here, in the Poincaré Gauge Theory, solutions of the Friedmanr universes stable against these quantum effects are obtained under linear approximation for the cases k=0, ±1 of the radiation dominant universe (RDU), the matter dominant universe (MDU) and the de Sitter universe(dSU). These solutions are small oscillations around the standard Big Bang solution of General Relativity and exist for each era of RDU, MDU and dSU, respectively, if we choose the parameters of the Poincaré Gauge Theory, the total entropy of the universe and others properly.
Contents §1.Introduction / p1 §2.A survey of the standard Big Bang solution of GR / p4 §3.The instability of the Friedmann universe in GR / p7 §4.The classical PGT equation for the Friedmann universe / p10 §5.The classical stable PGT solution for RDU / p12 §6.The PGT solution of RDU stable against quantum effects / p20 §7.The case of the matter dominant universe / p25 §8.The case of the de Sitter universe / p30 §9.Summary and discussions / p36 Tables / p39 Figures / p41 References / p45
目次
- Contents / (0004.jp2)
- §1.Introduction / p1 (0005.jp2)
- §2.A survey of the standard Big Bang solution of GR / p4 (0008.jp2)
- §3.The instability of the Friedmann universe in GR / p7 (0011.jp2)
- §4.The classical PGT equation for the Friedmann universe / p10 (0014.jp2)
- §5.The classical stable PGT solution for RDU / p12 (0016.jp2)
- §6.The PGT solution of RDU stable against quantum effects / p20 (0024.jp2)
- §7.The case of the matter dominant universe / p25 (0029.jp2)
- §8.The case of the de Sitter universe / p30 (0034.jp2)
- §9.Summary and discussions / p36 (0040.jp2)
- Tables / p39 (0043.jp2)
- Figures / p41 (0045.jp2)
- References / p45 (0049.jp2)
- Roles of Torsion Particles in the Very Early Universe / p84 (0092.jp2)
- Bianchi Type-I Universe in New General Relativity / p939 (0109.jp2)