-
Abstract
Within the framework of Einstein–Cartan theory, we obtain a general condition leading to singularity and inflation for all Bianchi cosmological models. If the spin energy is smaller than anisotropic energy density (i.e. S2−σ2≤0), the Universe can not avoid singularity. If S2−σ2>-ρv/2 (ρv is vacuum energy density), the Universe can undergo an inflation phase. Examples of Bianchi type−IX, I and V cosmological models are discussed. -
References
[1] Hehl F W, Heyde P V, Kerlick G D and Nester J M 1976 Rev. Mod. Phys. 48 393 [2] Tsampartis M 1979 Phys. Lett. A 75 27 [3] Lu H Q and Cheng K S 1995 Class. Quant. Grav. 12 2755 [4] Trautman A 1973 Nature 242 7 [5] Trautman A 1975 Ann. N. Y. Acad. Sci. 262 241 [6] Tsoubelis D 1979 Phys. Rev. D 20 3004 [7] Raychaudhuri A K 1975 Phys. Rev. D 12 952 [8] Kong K H, Cheung P C H, Lu H Q and Cheng K S 1999 Astrophys. Space Sci. 260 521 [9] Obukhov Yu N and Korotky V A 1987 Class. Quant. Grav. 4 1633 [10] Maeda K 1988 Proc. Fifth Marcel Grossmann on General Relativity (Perth Australia) 145 [11] Wald R M 1983 Phys. Rev. D 28 2118 [12] Borzeszkowski H H V and Miiller V 1978 Ann. der Physik(Leipzig) 7 361 [13] Martinez-Gonzalez E and Jones B J T 1986 Phys. Lett. B 167 37 [14] Barrow J 1977 Mon. Not. R. Astron. Soc. 178 625 [15] Lu H Q, Harko T and Mak M K 2001 Int. J. Mod. Phys. D 10 315 [16] Lu H Q Proceedings of the 21st Century Chinese Astronomy Conference (Hong Kong 1–4 August 1996) p 475 [17] Brechet S D, Hobson M P and Lasenby A N 2007 Class. Quantum Grav. 24 6329 [18] Brechet S D, Hobson M P and Lasenby A N 2008 Class. Quantum Grav. 25 245016 [19] Berredo-Peixoto G de and Freitas E A de 2009 Class. Quantum Grav. 26 175015 [20] Fang W, Huang Z G and Lu H Q 2010 arXiv.1011.2047(hep-th) [21] Binney J and Tremaine S 1987 Galactic Dynamics (Princeton: Princeton University)
-
Related Articles
[1] XUE Yu-Hao, HE Bing, ZHOU Jun, LI Zhen, FAN Yuan-Yuan, QI Yun-Feng, LIU Chi, YUAN Zhi-Jun, ZHANG Hai-Bo, LOU Qi-Hong. High Power Passive Phase Locking of Four Yb-Doped Fiber Amplifiers by an All-Optical Feedback Loop [J]. Chin. Phys. Lett., 2011, 28(5): 054212. doi: 10.1088/0256-307X/28/5/054212 [2] XU Shu-Wu, HUANG Yun-Xia, JI Xian-Ming. Field-Free Molecular Orientation Induced by Nonresonant Square Laser Pulses [J]. Chin. Phys. Lett., 2011, 28(4): 043301. doi: 10.1088/0256-307X/28/4/043301 [3] ZHOU Lei, NING Ji-Ping, CHEN Cheng, HAN Qun, ZHANG Wei-Yi, WANG Jun-Tao. High Power Er/Yb Codoped Double Clad Fiber Pulsed Amplifier Based on an All-Fiber Configuration [J]. Chin. Phys. Lett., 2009, 26(6): 064215. doi: 10.1088/0256-307X/26/6/064215 [4] HASI Wu-Li-Ji, FU Mei-Ling, LU Huan-Huan, GONG Sheng, LU Zhi-Wei, LIN Dian-Yang, HE Wei-Ming. Pulse Compression Based on Laser-Induced Optical Breakdown in Suspension [J]. Chin. Phys. Lett., 2009, 26(6): 064202. doi: 10.1088/0256-307X/26/6/064202 [5] Mehran Vahdani Moghaddam, Zeynab Chenari, Hamid Latifi, Vladimir Vladimirovich Shuvalov, Konestantin Valentinovich Rudenko. Numerical Simulation of Self-Pumped Phase Conjugate Plane--Curve Loop Mirror Based on Photorefractive Nonlinearity [J]. Chin. Phys. Lett., 2008, 25(8): 2888-2891. [6] SUI Zhan, LIN Hong-Huan, WANG Jian-Jun, ZHAO Hong-Ming, LI Ming-Zhong, QIAN Lie-Jia, ZHU He-Yuan, FAN Dian-Yuan. A Compact Nanosecond-Pulse Shaping System Based on Pulse Stacking in Fibres [J]. Chin. Phys. Lett., 2006, 23(8): 2074-2076. [7] CHI Rong-Hua, LU Ke-Cheng, YUN Peng, LI Yi-Gang, DONG Xiao-Yi, CHEN Wen-Zhao, YANG Guang-Ming, LIU Zhao-Bing. Performance Improvement of Distributed and Discrete Raman Amplifiers with a Fibre Loop Mirror [J]. Chin. Phys. Lett., 2003, 20(8): 1264-1268. [8] YANG Shi-Quan, ZHAO Chun-Liu, LI Zhao-Hui, YUAN Shu-Zhong, DONG Xiao-Yi. Optical Pulse Generation with Different Repetition Rates in aDual-Wavelength Actively Mode-Locked Fiber Ring Laser [J]. Chin. Phys. Lett., 2002, 19(6): 786-787. [9] CHEN Fei, HUO Yu-Jing, HE Shu-Fang, FENG Li-Chun. Diode-Pumped Nanosecond Pulsed Laser with Pulse-Transmission-Mode Q-Switch [J]. Chin. Phys. Lett., 2001, 18(2): 228-229. [10] TIAN Jian-Guo, WANG Hao-Hua, ZHOU Wen-Yuan, LI Tao, ZHANG Chun-Ping, ZHANG Guang-Yin. Analysis of the Influence of Thermal Effect on Z-Scan Measurements with a Nanosecond Pulse Laser [J]. Chin. Phys. Lett., 2000, 17(7): 510-512.
Impact Factor 2023: 3.5 | CiteScore 2023: 5.9 | Time to First Decision: 28 days
DownLoad: