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arXiv 0906.4493hep-thastro-ph.COgr-qchep-ph
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高阶导数耦合下Einstein-Yang-Mills理论的动力学紧化和暴胀

Dynamical Compactification and Inflation in Einstein-Yang-Mills Theory with Higher Derivative Coupling

Hironobu Kihara, Muneto Nitta, Misao Sasaki, Chul-Moon Yoo, Ignacio Zaballa

摘要:

本文研究了在杨-米尔斯场强中引入四次项的十维Einstein-Yang-Mills理论的宇宙学。我们解析地得到了一类宇宙学解,其中额外维度是静态的,四维Friedmann-Lemaitre-Robertson-Walker度规的标度因子是时间的指数函数.这意味着该模型可以解释通货膨胀。然后我们寻找描述额外维度的动力学紧化的解。从引力耦合、十维宇宙学常数、规范耦合和高阶导数耦合出发,确定了四维宇宙中的有效宇宙学常数$λ_1$。通过数值积分,我们发现具有$λ_1=0$的解表现为一个物质主导的宇宙,它渐近地接近平坦时空,而具有非零$λ_1$的解渐近地接近de Sitter时空.

英文摘要:

We study cosmology of the Einstein-Yang-Mills theory in ten dimensions with a quartic term in the Yang-Mills field strength. We obtain analytically a class of cosmological solutions in which the extra dimensions are static and the scale factor of the four-dimensional Friedmann-Lemaitre-Robertson-Walker metric is an exponential function of time. This means that the model can explain inflation. Then we look for solutions that describe dynamical compactification of the extra dimensions. The effective cosmological constant $λ_1$ in the four-dimensional universe is determined from the gravitational coupling, ten-dimensional cosmological constant, gauge coupling and higher derivative coupling. By numerical integration, the solution with $λ_1=0$ is found to behave as a matter-dominated universe which asymptotically approaches flat space-time, while the solution with a non-vanishing $λ_1$ approaches de Sitter space-time in the asymptotic future.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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