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

Abstract
HTML
Reference
Related

PDF

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

[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.

[1]	Mustapha Azreg-Aïnou , Mubasher Jamil , Kai Lin . Gyroscope precession frequency analysis of a five-dimensional charged rotating Kaluza-Klein black hole. Chinese Physics C, 2020, 44(6): 065101. doi: 10.1088/1674-1137/44/6/065101
[2]	Farrin Payandeh , Toradj Mohammad , Mohsen Fathi , Zahra Gh . A Krein quantization approach to Klein paradox. Chinese Physics C, 2013, 37(11): 113103. doi: 10.1088/1674-1137/37/11/113103
[3]	WANG Jian-Hua , LI Kang , Dulat Sayipjamal , . Klein-Gordon oscillators in noncommutative phase space. Chinese Physics C, 2008, 32(10): 803-806. doi: 10.1088/1674-1137/32/10/007
[4]	ZHANG Ai-Ping , QIANG Wen-Chao . Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential. Chinese Physics C, 2007, 31(11): 1027-1031.
[5]	WANG Min-Jie , WANG Li-Ping , JIA Huan-Yu . Cloudiness Variation Observed at Yangbajing During Forbush Decrease of Galactic Cosmic Rays. Chinese Physics C, 2006, 30(1): 75-78.
[6]	ZHANG JiLong , BAO KeZhi , DING LinKai , Cai Dong , DAI BenZhong , FENG ZhenYong , FU Yu , GUO HongWei , HE Mao , HUANG Qing , HUO AnXiang , JIA HuanYu , , , , , . An Observation of Solar Flare Neutrons Using Yangbajing Solar Cosmic Ray Detector. Chinese Physics C, 2000, 24(12): 1081-1087.
[7]	Tan Youheng . Status and Prospect of Yangbajing Cosmic Ray Experiment. Chinese Physics C, 1999, 23(2): 103-109.
[8]	Lin Hai , Liu Lianshou . Wavelet Correlation in the One-Dimensional Projection α-Model. Chinese Physics C, 1997, 21(6): 513-522.
[9]	Zhang Jun , Yang Guangcan , Yan Hong . Two Dimensional Cyclic Representations of U_q(sl₂)and 8-Vertex Ising Model. Chinese Physics C, 1995, 19(11): 1005-1011.
[10]	Zhang Jun , Yang Guangcan , Yan Hong . 2-Dimensional Cyclic Representations of U_q(sl(2)), C-GCoefficients and a Free Fermion 8-Vertex Model. Chinese Physics C, 1995, 19(12): 1084-1089.
[11]	Ni Zhixiang , Ma Tao . The Quantum Cosmology of 4+2D Dimensional Einstein Maxwell Theory. Chinese Physics C, 1994, 18(10): 911-918.
[12]	YAN Jun , HU Shi-Ke . Compact Baby Universe Model in ten Dimension and Probability Function of Quantum Gravity. Chinese Physics C, 1991, 15(10): 890-897.
[13]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[14]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE 1+1-DIMENSIONAL U(1) GAUGE THEORY. Chinese Physics C, 1990, 14(2): 152-155.
[15]	SHEN Qi-Xing , LI Bing-An . πN SCATTERING PHASE SHIFTS IN A MODIFIED SKYRME MODEL. Chinese Physics C, 1989, 13(2): 128-134.
[16]	LI Bing-An , SHEN Qi-Xing . A MODIFIED SKYRME MODEL. Chinese Physics C, 1988, 12(5): 616-621.
[17]	Zhang Guangyuan , Cai Weicheng , Li Xinzhou . Fermion Fields in Soliton Background of Six-dimensional Pure Kaiuza-Klein Theories. Chinese Physics C, 1988, 12(S2): 159-164.
[18]	ZHANG Guang-Yuan , CAI Wei-Cheng , LI Xin-Zhou . FERMION FIELDS IN THE SOLITON BACKGROUND OF SIX-DIMENSIONAL PURE KALUZA-KLEIN THEORIES. Chinese Physics C, 1988, 12(2): 281-285.
[19]	DAI An-Ying . LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS. Chinese Physics C, 1987, 11(5): 620-628.
[20]	GUO HAN-YING . THE INDUCED KALUZA TYPE INTERACTIONS. Chinese Physics C, 1982, 6(2): 247-250.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2864)
PDF Downloads(402)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.