AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY

LIU Qi; XU Jian-Jun; LI Xin-Zhou

Chinese Physics C> 1989, Vol. 13> Issue(11) : 985-989

AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY

Department of Physics,Fudan University,Shanghai

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Abstract：
We present a cosmological solution of eight-dimensional Kaluza-Klein theory with Georgi's three-family SU(11) model in M₄,to which a matter term is added.In this solution,the general behavior of the scale factors is depicted in for stages.In stage one,both R₃ and R₄ expand with time;in stage two,R₄ is a constant while R₄ is a constant while R₃ is an inflationary solution and R₃ is an inflationary solution and R₃ will continue to increase with time monotonically while R₄ recollapses toward its minimum in stage three; finally,in stage four,R₄ will be stabilized at R_KK through some quantum effects and R₃ expands with time in the usual FRW way in which the four-dimensional cosmological constant becomes zero.

References

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T. Kaluza, Sitrungrbrr. Press. Akad. Wiss. phys. Math., K1 (1926), 966: O. Klein, Z. phys., 37(1926),895.[2] D. Sahdev, phys. Lett., 137B (1984), 155; R. B. Abbott, S. M. Barr and S. D. Ellis, Phys. Rew., D30(1984), 720;P. G. O. Freund and P. Oh, Nucl. Phys., B255(1985), 688.[3] M. Gleiser, S. Rajpoot and J. G. Taylor, Ann. Phys. (N. Y.) 160 (1985), 299; Q. Shafi and C. Wtterich,Nucl. phys., B289 (1987), 787.[4] S. Raadjbar-Daemi, A Snlam and J. Strathdee, Nucl. phys., B214(1983), 491; phys. Lett. 124B(3983),245, 132B(1983) 56.[5] Xinzhou Li, Shengshan Cai, Sizhu Hu and Jianiun Xu, phys. Lett.. 201B (1988). 34; Xinzhou Li, Phys.Lett., 205B (1988), 451: Jianjun Xu and Xinzliou Li phys. Lett., 208B (1988), 391;徐建军，李新洲，倪光炯，高能物理与核物理，12(1988)，852.[6] R.H. Frampron and K. Yarnnmoto, phys. Rev. Lett., 52(1984), 2016.

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LIU Qi, XU Jian-Jun and LI Xin-Zhou. AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY[J]. Chinese Physics C, 1989, 13(11): 985-989.

LIU Qi, XU Jian-Jun and LI Xin-Zhou. AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY[J]. Chinese Physics C, 1989, 13(11): 985-989. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY

Corresponding author: LIU Qi,

Department of Physics,Fudan University,Shanghai

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-11-15

Abstract: We present a cosmological solution of eight-dimensional Kaluza-Klein theory with Georgi's three-family SU(11) model in M₄,to which a matter term is added.In this solution,the general behavior of the scale factors is depicted in for stages.In stage one,both R₃ and R₄ expand with time;in stage two,R₄ is a constant while R₄ is a constant while R₃ is an inflationary solution and R₃ is an inflationary solution and R₃ will continue to increase with time monotonically while R₄ recollapses toward its minimum in stage three; finally,in stage four,R₄ will be stabilized at R_KK through some quantum effects and R₃ expands with time in the usual FRW way in which the four-dimensional cosmological constant becomes zero.