arXiv 0705.19292007-05-14hep-thastro-ph

卡格斯薄膜诱导引力讲座

Cargese Lectures on Brane Induced Gravity

Gregory Gabadadze

备注：: 17 pages; based on Cargèse lectures of 2006; to appear in proceedings
发表信息：: Nucl.Phys.Proc.Suppl.171:88-98,2007
DOI：: 10.1016/j.nuclphysbps.2007.06.005

摘要：

本文简要介绍了膜诱导引力这一课题。详细讨论了5D示例。四维引力定律是在一个无限体积的额外空间中的膜上得到的，其中不存在体积模量的稳定性问题。该理论有两个经典的不相交的分支的解决方案-常规和自加速之一。常规分支给出了一个亚稳态引力子的微扰稳定模型，在太阳系内有潜在的可检验的预测。另一方面，自加速分支为宇宙的加速膨胀可能是由于修改的引力的想法提供了存在性证明。自加速分支的微扰稳定性问题被传统的微扰展开的故障所掩盖。然而，在hep-th/0612016中发现的某个精确的非微扰解显示出一个净负的引力质量，而这个质量在常规分支上是正的。这表明自加速解必须是非微扰不稳定的。一个建议，以克服这个问题的原始模型的扩展，也允许量子引力规模是不受限制的，简要讨论。

英文摘要：

A brief introduction is given to the subject of brane induced gravity. The 5D example is discussed in detail. The 4D laws of gravity are obtained on a brane embedded in an infinite volume extra space, where the problem of stabilization of the volume modulus is absent. The theory has two classically disjoint branches of solutions -- the conventional and self-accelerated one. The conventional branch gives a perturbatively stable model of a metastable graviton, with potentially testable predictions within the Solar system. The self-accelerated branch, on the other hand, provides an existence proof for an idea that the accelerated expansion of the Universe could be due to modified gravity. The issue of perturbative stability of the self-accelerated branch is obscured by a breakdown of the conventional perturbative expansion. However, a certain exact non-perturbative solution found in hep-th/0612016 exhibits a net negative gravitational mass, while this mass is positive on the conventional branch. This suggest that the self-accelerated solution must be non-perturbatively unstable. A proposal to overcome this problem in an extension of the original model, that also allows for the quantum gravity scale to be unrestricted, is briefly discussed.

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