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arXiv 0908.3323gr-qc
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自旋为零的Lorentz连接模的宇宙动力学

Cosmological dynamics with propagating Lorentz connection modes of spin zero

Hsin Chen, Fei-Hung Ho, James M. Nester, Chih-Hung Wang, Hwei-Jang Yo

摘要:

引力的庞加莱规范理论与挠率和曲率都有洛伦兹联系。对于这一理论,已经发现了两种良好的传播连接模式,携带自旋- $0^+$和自旋- $0^-$。自旋- $0^+$模式在宇宙学中的可能影响在以前的工作中,我们的小组进行了研究,发现$0^+$模式可以解释目前加速的宇宙。在这里,我们扩展的分析,也包括自旋- $0^-$模式。由此产生的宇宙学模型有三个自由度。我们提出了该模型的拉格朗日和哈密顿形式的动力学方程,找到了后期的正常模式,并提出了一些数值演化的情况。在晚时间渐近制度的两个动力学模式解耦,和宇宙的加速度振荡由于自旋- $0^+$模式。

英文摘要:

The Poincare gauge theory of gravity has a Lorentz connection with both torsion and curvature. For this theory two good propagating connection modes, carrying spin-$0^+$ and spin-$0^-$, have been found. The possible effects of the spin-$0^+$ mode in cosmology were investigated in a previous work by our group; there it was found that the $0^+$ mode could account for the presently accelerating universe. Here, we extend the analysis to also include the spin-$0^-$ mode. The resulting cosmological model has three degrees of freedom. We present both the Lagrangian and Hamiltonian form of the dynamic equations for this model, find the late-time normal modes, and present some numerical evolution cases. In the late time asymptotic regime the two dynamic modes decouple, and the acceleration of the Universe oscillates due to the spin-$0^+$ mode.

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