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arXiv 1809.04724hep-thgr-qc
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M理论中暴胀宇宙学的量子修正

Inflationary Cosmology via Quantum Corrections in M-theory

Kazuho Hiraga, Yoshifumi Hyakutake

摘要:

我们通过求解M理论的有效作用量来研究暴胀宇宙学,M理论由11维超引力和Weyl张量的四次项组成。度量简单地由两个尺度因子表示,一个用于空间方向,另一个用于内部方向。由于M理论的有效作用量是微扰构造的,我们也微扰地求解运动方程。我们将证明,11维超引力的经典解并不代表暴胀膨胀,但如果我们包括量子修正,那么在非常早期的时间附近的解的行为被修改,暴胀情景得以实现。当标量曲率变小,外尔张量的四次项可以忽略时,暴胀自然结束。

英文摘要:

We investigate inflationary cosmology by solving the effective action of the M-theory, which consists of the 11 dimensional supergravity and quartic terms of the Weyl tensor. The metric is simply expressed by two scale factors, one for the spatial directions and the other for the internal directions. Since the effective action of the M-theory is constructed perturbatively, we also solve the equations of motion perturbatively. We will show that the classical solution of the 11 dimensional supergravity does not represent the inflationary expansion, but if we include the quantum corrections, the behavior of the solution around the very early time is modified and the inflationary scenario is realized. The inflation naturally ends when the scalar curvature becomes small and quartic terms of the Weyl tensor are negligible.

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