Slowly rotating black holes in Horava-Lifshitz gravity
Slowly rotating black holes in Horava-Lifshitz gravity
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DOI：
10.1103/physrevd.87.087504
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发表时间：
2012-12
影响因子：
5
通讯作者：
E. Barausse;T. Sotiriou
中科院分区：
文献类型：
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作者：
E. Barausse;T. Sotiriou
在最近的一篇论文中，我们声称在Horava-Lifshitz引力的红外极限下不存在缓慢旋转的、静止的轴对称黑洞，只要它们在中心奇点以外的任何地方都是规则的。在这里，我们指出了爱因斯坦以太理论和霍拉瓦-利夫希茨引力的红外极限之间的等价的一个微妙之处，这在我们之前的推导中被遗漏了，并大大修改了我们的结论：我们之前的计算（在其他方面技术上是正确的）并没有真正暗示霍拉瓦-利夫希茨引力中没有缓慢旋转的黑洞，而是在后者中没有缓慢旋转的黑洞，后者也是爱因斯坦-以太理论的解，反之亦然。也就是说，尽管这两种理论都有静态的球对称解，但不存在同时满足两种理论的缓慢旋转黑洞。我们继续在horva - lifshitz引力的红外极限下生成缓慢旋转的黑洞解，并证明片理定义标量的构型与球对称的构型保持相同，因此这些黑洞有望具有宇宙视界。
In a recent paper we claimed that there there are no slowly rotating, stationary, axisymmetric black holes in the infrared limit of Horava-Lifshitz gravity, provided that they are regular everywhere apart from the central singularity. Here we point out a subtlety in the equivalence between Einstein-aether theory and the infrared limit of Horava-Lifshitz gravity which was missed in our earlier derivation and drastically modifies our conclusion: our earlier calculations (which are otherwise technically correct) do not really imply that there are no slowly rotating black holes in Horava-Lifshitz gravity, but that there are no slowly rotating black holes in the latter that are also solutions of Einstein-aether theory and vice versa. That is, even though the two theories share the static, spherically symmetric solutions, there are no slowly rotating black holes that are solutions to both theories. We proceed to generate slowly rotating black hole solutions in the infrared limit of Horava-Lifshitz gravity, and we show that the configuration of the foliation-defining scalar remains the same as in spherical symmetry, thus these black holes are expected to posses a universal horizon.