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arXiv 1012.2445gr-qcastro-ph.COhep-th
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额外维模型中体膜的引力子发射

Graviton emission from the brane in the bulk in a model with extra dimension

Mikhail Z. Iofa

摘要:

在一个三维时空中的3-膜模型中,我们计算了引力子从膜到体的辐射。物质被限制在膜中,在膜上的物质反应中产生的引力子逃逸到体中。用微扰法求解了由引力子产生项修正后的爱因斯坦方程组,其主导阶为无引力子产生的阶。在广义Friedmann方程中物质能量密度线性项占主导地位的宇宙学晚期,我们计算了Kaluza-Klein态塔的引力子谱和Boltzmann方程中的碰撞积分。我们发现在体发射的引力子的能量动量张量,并使用它表明,由于引力子生产的爱因斯坦方程中的领导阶项的修正是小的,微扰的方法是合理的。我们计算了在有引力子产生和无引力子产生的模型中原始核合成产生的${}^4 He$丰度的差异,发现差异是一个很小的数字,比以前估计的要小得多。

英文摘要:

In a model of 3-brane embedded in 5D space-time we calculate the graviton emission from the brane to the bulk. Matter is confined to the brane, gravitons produced in reactions of matter on the brane escape to the bulk. The Einstein equations which are modified by the terms due to graviton production are solved perturbatively, the leading order being that without the graviton production. In the period of late cosmology, in which in the generalized Friedmann equation the term linear in the energy density of matter in dominant, we calculate the spectrum of gravitons (of the tower of Kaluza-Klein states) and the collision integral in the Boltzmann equation. We find the energy-momentum tensor of the emitted gravitons in the bulk, and using it show that corrections due to graviton production to the leading-order terms in the Einstein equations are small, and the perturbative approach is justified. We calculate the difference of abundances of ${}^4 He$ produced in primordial nucleosynthesis in the models with and without the graviton production, and find that the difference is a very small number, much smaller than that estimated previously.

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