Stability of the Friedmann Universe in the Poincaré Gauge Theory

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Title ( eng )
Stability of the Friedmann Universe in the Poincaré Gauge Theory
Title ( jpn )
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
Creator
Ogino Shinsuke
Abstract
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.
Descriptions
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
NDC
Earth sciences. Geology [ 450 ]
Language
eng
Resource Type doctoral thesis
Rights
Copyright(c) by Author
Access Rights open access
Source Identifier
(1) 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) (論文誌) Progress of Theoretical Physics Volume 82, Number 4, pp. 723~736 平成元年10月出版 references
(2) Stability of the Friedmann Universe in the Poincaré Gauge Theory II. (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II) (論文誌) Progress of Theoretical Physics Volume 89, Number 2, pp. 371~338 平成5年2月出版 references
[DOI] http://dx.doi.org/10.1143/PTP.82.723 references
[DOI] http://dx.doi.org/10.1143/PTP.89.371 references
Dissertation Number 乙第2445号
Degree Name
Date of Granted 1993-07-26
Degree Grantors
広島大学