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arXiv 1209.2572gr-qc
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演化非紧额外维引起的4D时空真空涨落

Vacuum fluctuation in a 4D spacetime due an evolving non-compact extra-dimension

Wagner Utiel

摘要:

研究了5D宇宙学模型中的指数快速膨胀机制。还研究了许多极限情况。结果表明,在静态的四维时空中,如果它嵌入具有膨胀的额外维y的块体中,则存在粒子产生的可能性。结果还表明,粒子数密度、真空压力和能量密度等物理量的行为都受膨胀率参数(α,β)的控制。这些参数也限制了可以在给定模型中创建的场模式。研究了ky = 0模式的情况,结果表明只允许大量模式。这些模式被认为是局限在4D时空中。从5D爱因斯坦场方程(其中唯一考虑的源来自真空涨落)确定了给定宇宙学时间(η)的存在,该宇宙学时间(η)使得5D宇宙学常数在某些模型中消失,并且表现为控制从膨胀宇宙学模型到完全静态模型的过渡的极限时间。

英文摘要:

The regime of exponentially fast expansion in 5D cosmological models was investigated. Many limit cases was also studied. It was shown that there is a possibility to particle creation in a static 4D spacetime if it embedded in an bulk with an expanding extra-dimension y. It was also shown that many physical quantities like the particle number density, vacuum pressure and energy density has its behavior governed by the expansion rate parameters (α,β) that control the inflation process. These parameters also limit the field modes that can be created in a given model. The case with modes with ky = 0 was investigated and was shown that only massive modes are allowed. These modes are taken to be confined in the 4D spacetime. From the 5D Einstein's field equation, where the only sources considered comes from the vacuum fluctuation, was determined the presence of a given cosmological time (η) that makes the 5D cosmological constant vanish in some models and behave like a limit time that governs a transition from an expanding cosmological model to a completely static model.

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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