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arXiv 0707.4181hep-thastro-phgr-qchep-ph
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弹性膜上的宇宙学扰动

Cosmological Perturbations on a Bouncing Brane

Robert Brandenberger, Hassan Firouzjahi, Omid Saremi

摘要:

研究了弹跳膜上的宇宙学扰动。膜在克列巴诺夫-斯特拉斯勒喉道内运动,在那里,几何的红外区域被平滑地切断。对于一个被限制在膜的世界体积中的观察者来说,这导致了一个非奇异的反弹海市蜃楼宇宙学。我们计算了对应于膜的法向位移的标量扰动。这是在探测膜极限中进行的,在那里,膜对体喉的引力反作用是不存在的。我们的模型提供了一个框架,研究波动从收缩到扩张阶段的转移。我们发现度规涨落的主模的谱指数是不变的,不像通常的匹配条件的帮助下,通过粘合收缩到膨胀的爱因斯坦宇宙。假设在收缩阶段,涨落开始于亚哈勃尺度上的真空态,结果表明,在膨胀阶段,超哈勃尺度上的光谱指数n_s有一个大的蓝倾斜。当膜在喉道内缓慢运动,其动能与其静止质量相比可以忽略不计时,我们发现n_s=3。对于具有大动能的快速滚动膜,谱指数为n_s = 2.3。这可能会对海市蜃楼宇宙学模型造成严重限制。

英文摘要:

The cosmological perturbations on a bouncing brane are studied. The brane is moving inside a Klebanov-Strassler throat where the infra-red region of the geometry is smoothly cut off. For an observer confined to the world-volume of the brane, this results in a non-singular bouncing mirage cosmology. We have calculated the scalar perturbations corresponding to the normal displacements of the brane. This is performed in the probe brane limit where the gravitational back-reaction of the brane on the bulk throat is absent. Our model provides a framework for studying the transfer of fluctuations from a contracting to an expanding phase. We find that the spectral index of the dominant mode of the metric fluctuation is un-changed, unlike what is obtained by gluing contracting to expanding Einstein universes with the help of the usual matching conditions. Assuming that the fluctuations start off in a vacuum state on sub-Hubble scales during the contracting phase, it is shown that the resulting spectral index n_s on super-Hubble scales in the expanding phase has a large blue tilt. When the brane is moving slowly inside the throat and its kinetic energy is negligible compared to its rest mass, one finds n_s=3. For a fast-rolling brane with a large kinetic energy, the spectral index is n_s = 2.3. This may put severe constraints on models of mirage cosmology.

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