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arXiv 1104.2143hep-thastro-ph.COgr-qc
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非线性质量引力中的强相互作用和精确解

Strong interactions and exact solutions in non-linear massive gravity

Kazuya Koyama, Gustavo Niz, Gianmassimo Tasinato

摘要:

我们研究了协变质量引力模型中的强耦合效应,该模型是Fierz-Pauli非线性完备化的一个候选模型。分析了弱场极限下通过Vainshtein机制恢复广义相对论的条件,根据参数的选择,发现了三种主要的情况。在第一种情况下,所有的非线性消失的电位和vDVZ不连续性无法避免。在第二种情况下,Vainshtein机制允许从源在宏观半径内恢复广义相对论。在最后一种情况下,标量引力子的强耦合完全屏蔽了无质量引力子,并在接近源时削弱了引力。在本文的第二部分中,我们探索了新的精确真空解,即渐近线de Sitter或反de Sitter空间取决于参数的选择。空间的曲率与引力子的质量成正比,因此提供了一个宇宙学背景,可以用引力子质量来解释今天的加速。此外,通过以一种方便的形式表示非线性大质量引力势,我们还提出了与高维框架的可能联系。

英文摘要:

We investigate strong coupling effects in a covariant massive gravity model, which is a candidate for a ghost free non-linear completion of Fierz-Pauli. We analyse the conditions to recover general relativity via Vainshtein mechanism in the weak field limit, and find three main cases depending on the choice of parameters. In the first case, the potential is such that all non-linearities disappear and the vDVZ discontinuity cannot be avoided. In the second case, the Vainshtein mechanism allows to recover general relativity within a macroscopic radius from a source. In the last case, the strong coupling of the scalar graviton completely shields the massless graviton, and weakens gravity when approaching the source. In the second part of the paper, we explore new exact vacuum solutions, that asymptote de Sitter or anti de Sitter space depending on the parameter choice. The curvature of the space is proportional to the mass of the graviton, thus providing a cosmological background which may explain the present day acceleration in terms of the graviton mass. Moreover, by expressing the potential for non-linear massive gravity in a convenient form, we also suggest possible connections with a higher dimensional framework.

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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