Inflation and Singularity in Einstein–Cartan Theory
HUANG Zeng-Guang1**, FANG Wei2,4, LU Hui-Qing3,4**
1School of Science, Huaihai Institute of Technology, Lianyungang 222005 2Department of Physics, Shanghai Normal University, Shanghai 200234 3Department of Physics, Shanghai University, Shanghai 200444 4The Shanghai Key Lab of Astrophysics, Shanghai Normal University, Shanghai 200234
Inflation and Singularity in Einstein–Cartan Theory
HUANG Zeng-Guang1**, FANG Wei2,4, LU Hui-Qing3,4**
1School of Science, Huaihai Institute of Technology, Lianyungang 222005 2Department of Physics, Shanghai Normal University, Shanghai 200234 3Department of Physics, Shanghai University, Shanghai 200444 4The Shanghai Key Lab of Astrophysics, Shanghai Normal University, Shanghai 200234
摘要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.
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.
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
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