Instability of hairy black holes in shift-symmetric Horndeski theories
Instability of hairy black holes in shift-symmetric Horndeski theories
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DOI：
10.1103/physrevd.93.064078
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发表时间：
2015-10
影响因子：
5
通讯作者：
H. Ogawa;Tsutomu Kobayashi;T. Suyama
中科院分区：
文献类型：
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作者：
H. Ogawa;Tsutomu Kobayashi;T. Suyama
最近有人指出，在位移对称标量张量理论中，黑洞可以有非平凡的标量头发，它线性地依赖于时间。我们发展黑洞微扰理论，这样的解决方案，并计算奇宇称扰动的二次作用。我们发现，在所有已知的解决方案，到目前为止，这种时间依赖的标量头发的扰动触发不稳定性或可能是强烈耦合。
Recently it was pointed out that in shift-symmetric scalar-tensor theories a black hole can have nontrivial scalar hair which depends linearly on time. We develop black hole perturbation theory for such solutions and compute the quadratic action of odd-parity perturbations. We show that around all the solutions known so far with such time-dependent scalar hair the perturbations trigger instabilities or are presumably strongly coupled.