AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY

  • 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 RKK through some quantum effects and R3 expands with time in the usual FRW way in which the four-dimensional cosmological constant becomes zero.
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  • [1] 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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AN EIGHT-DIMENSIONAL KALUZA-KLEIN COSMOLOGY

    Corresponding author: LIU Qi,
  • Department of Physics,Fudan University,Shanghai

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 RKK through some quantum effects and R3 expands with time in the usual FRW way in which the four-dimensional cosmological constant becomes zero.

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