ID 31838
file
title alternative
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
NDC
Earth sciences. Geology
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.
contents
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
SelfDOI
language
eng
nii type
Thesis or Dissertation
HU type
Doctoral Theses
DCMI type
text
format
application/pdf
rights
Copyright(c) by Author
relation references
(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
(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
relation references URL
http://dx.doi.org/10.1143/PTP.82.723
http://dx.doi.org/10.1143/PTP.89.371
grantid
乙第2445号
degreeGrantor
広島大学(Hiroshima University)
degreename Ja
博士(理学)
degreename En
Physical Science
degreelevel
doctoral
date of granted
1993-07-26
department
Graduate School of Science