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arXiv 1401.6871gr-qchep-th
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大质量引力中黑洞的稳定性分析:统一处理

Stability analysis of black holes in massive gravity: a unified treatment

Eugeny Babichev, Alessandro Fabbri

摘要:

我们考虑了大质量(双)引力的解析解,它可以用改进的Eddington-Finkelstein坐标写成一个简单的形式。我们分析了这些解决方案对径向扰动的稳定性。首先,我们恢复以前得到的结果的不稳定性的双对角双Schwarzschild解决方案。在非双对角的情况下(其中包含,特别是,史瓦西解与闵可夫斯基基准度量),我们一般有物理球对称扰动,但没有不稳定的模式。

英文摘要:

We consider the analytic solutions of massive (bi)gravity which can be written in a simple form using advanced Eddington-Finkelstein coordinates. We analyse the stability of these solutions against radial perturbations. First we recover the previously obtained result on the instability of the bidiagonal bi-Schwarzschild solutions. In the non-bidiagonal case (which contains, in particular, the Schwarzschild solution with Minkowski fiducial metric) we show that generically there are physical spherically symmetric perturbations, but no unstable modes.

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