标题： 三维渐近局部平坦旋转黑洞的标量场准正则模 显示英文标题

标题： Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions

摘要： 三维新 massive 引力的纯二次项允许渐近局部平坦、旋转黑洞的存在。 这些黑洞由它们的质量和角动量以及引力起源的“毛发”来表征。 正如在大于五维的 Myers-Perry 解中一样，角动量没有上限。 我们证明了，令人惊讶的是，在这个背景下质量为零的标量场方程可以解析求解，并且准正则频率可以用闭合形式找到。 谱是由在视界处的入射边界条件和在空间无穷远处的渐近行为确定的，该渐近行为提供了标量探针的良确定义的作用原理。 当黑洞的角动量趋于零时，准正则频率的虚部趋向于负无穷大，迁移到黎曼球的北极点，并提供高频的无限阻尼模式。 我们证明了这与这一族静态黑洞对于质量为零的标量探针不具有准正则模式的事实是一致的。 显示英文摘要

摘要： The pure quadratic term of New Massive Gravity in three dimensions admits asymptotically locally flat, rotating black holes. These black holes are characterized by their mass and angular momentum, as well as by a hair of gravitational origin. As in the Myers-Perry solution in dimensions greater than five, there is no upper bound on the angular momentum. We show that, remarkably, the equation for a massless scalar field on this background can be solved in an analytic manner and that the quasinormal frequencies can be found in a closed form. The spectrum is obtained requiring ingoing boundary conditions at the horizon and an asymptotic behavior at spatial infinity that provides a well-defined action principle for the scalar probe. As the angular momentum of the black hole approaches zero, the imaginary part of the quasinormal frequencies tends to minus infinity, migrating to the north pole of the Riemann Sphere and providing infinitely damped modes of high frequency. We show that this is consistent with the fact that the static black hole within this family does not admit quasinormal modes for a massless scalar probe.