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arXiv 0712.2282gr-qc
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半经典引力场中de Sitter时空在各向同性扰动下的稳定性

Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity

Guillem Perez-Nadal, Albert Roura, Enric Verdaguer

摘要:

由宇宙学常数驱动的空间平坦的Robertson-Walker时空与无质量的标量场非共形耦合。在这种情况下,半经典引力方程被显式求解,并找到了与Bunch-Davies真空态相关的自洽de Sitter解(量子场的作用是使有效宇宙学常数略微移动)。进一步证明了修正后的de Sitter时空在度规和量子态的空间各向同性扰动下是稳定的。这些结果与自由重整化参数无关。

英文摘要:

A spatially flat Robertson-Walker spacetime driven by a cosmological constant is non-conformally coupled to a massless scalar field. The equations of semiclassical gravity are explicitly solved for this case, and a self-consistent de Sitter solution associated with the Bunch-Davies vacuum state is found (the effect of the quantum field is to shift slightly the effective cosmological constant). Furthermore, it is shown that the corrected de Sitter spacetime is stable under spatially-isotropic perturbations of the metric and the quantum state. These results are independent of the free renormalization parameters.

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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