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arXiv 1303.4154hep-thastro-ph.COgr-qc
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大质量引力中宇宙学解的非线性稳定性

Nonlinear stability of cosmological solutions in massive gravity

Antonio De Felice, A. Emir Gumrukcuoglu, Chunshan Lin, Shinji Mukohyama

摘要:

研究了两类宇宙学解在大质量引力场中的非线性稳定性:各向同性的Friedmann-Lemaitre-Robertson-Walker(FLRW)解和各向异性的FLRW解。为此,我们构造了轴对称Bianchi-Ⅰ型背景下的线性宇宙学扰动理论。然后,我们将背景展开到这两类解的周围,这两类解是背景发展方程的不动点,并分析了背景上的线性扰动,这提供了一个关于这些不动点解的非线性扰动的一致截断,并使我们能够以一种简单的方式分析非线性稳定性.特别是,它示出各向同性FLRW解决方案表现出非线性鬼不稳定性。另一方面,各向异性FLRW解决方案被证明是鬼影免费的参数和初始条件的范围。

英文摘要:

We investigate nonlinear stability of two classes of cosmological solutions in massive gravity: isotropic Friedmann-Lemaitre-Robertson-Walker (FLRW) solutions and anisotropic FLRW solutions. For this purpose we construct the linear cosmological perturbation theory around axisymmetric Bianchi type--I backgrounds. We then expand the background around the two classes of solutions, which are fixed points of the background evolution equation, and analyze linear perturbations on top of it. This provides a consistent truncation of nonlinear perturbations around these fixed point solutions and allows us to analyze nonlinear stability in a simple way. In particular, it is shown that isotropic FLRW solutions exhibit nonlinear ghost instability. On the other hand, anisotropic FLRW solutions are shown to be ghost-free for a range of parameters and initial conditions.

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