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arXiv 1104.1908gr-qchep-th
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f(R)- AdS黑洞的稳定性分析

Stability analysis of f(R)-AdS black holes

Taeyoon Moon, Yun Soo Myung, Edwin J. Son

摘要:

研究了由f(R)引力得到的f(R)-AdS(Schwarzschild-AdS)黑洞的稳定性.为了解决四阶线性化方程组求解困难的问题,我们通过引入两个辅助标量,将f(R)引力转化为标量张量理论。在这种情况下,线性化的曲率标量成为一个动态标量,表明所有线性化方程是二阶的。利用引力势的正性和S-变形技术,我们可以保证f(R)-AdS黑洞在标量质量平方满足Breitenlohner-Freedman界时的稳定性.通过计算大f(R)-AdS黑洞标量子的准正规频率证实了这一点。

英文摘要:

We study the stability of f(R)-AdS (Schwarzschild-AdS) black hole obtained from f(R) gravity. In order to resolve the difficulty of solving fourth order linearized equations, we transform f(R) gravity into the scalar-tensor theory by introducing two auxiliary scalars. In this case, the linearized curvature scalar becomes a dynamical scalaron, showing that all linearized equations are second order. Using the positivity of gravitational potentials and S-deformed technique allows us to guarantee the stability of f(R)-AdS black hole if the scalaron mass squared satisfies the Breitenlohner-Freedman bound. This is confirmed by computing quasinormal frequencies of the scalaron for large f(R)-AdS black hole.

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