超辐射与黑洞共振弦遭遇螺旋黑洞弦
Superradiance and black resonator strings encounter helical black strings
AI总结：
本文在六维Einstein引力中构造了上同调-1螺旋黑洞弦，它从等自旋Myers-Perry黑洞弦的超辐射不稳定性起始处分岔。该解具有非零视界速度，其熵介于Myers-Perry黑洞弦与黑洞共振弦之间，且在视界速度达光速时熵趋零，但未发现正则无视界解。
摘要：
我们在六维 Einstein 引力中构造了一个上同调-1 螺旋黑洞弦。该螺旋解从等自旋 Myers-Perry 黑洞弦引力超辐射不稳定性的起始点处分岔。螺旋黑洞弦的等距群为 $\mathbb{R}_T \times U(1)_Z \times SU(2)$，其中前两个是由时间平移、沿弦平移和旋转的线性组合生成的螺旋等距，它们各自均被超辐射不稳定性破坏。螺旋黑洞弦是稳态、非轴对称的，且尽管沿弦方向无动量，仍具有非零视界速度。在微正则系综中解发生重叠时，螺旋黑洞弦的熵高于 Myers-Perry 黑洞弦，但低于上同调-2“黑洞共振弦”（近期发现）。当沿弦的视界速度达到光速给定的最大值时，螺旋黑洞弦的熵趋近于零。然而，我们未发现该极限下存在正则无视界解的证据。
英文摘要：
We construct a cohomogeneity-1 helical black string in six-dimensional Einstein gravity. The helical solution branches from the onset of the gravitational superradiant instability of the equal-spinning Myers-Perry black string. The isometry group of the helical black string is $\mathbb{R}_T \times U(1)_Z \times SU(2)$, where the first two are helical isometries generated by linear combinations of time translation, shifts along the string, and rotation, each of which is individually broken by the superradiant instability. The helical black string is stationary, non-axisymmetric, and has nonzero horizon velocity despite the absence of momentum in the string direction. The entropy of the helical black string is higher than that of the Myers-Perry black string, but lower than cohomogeneity-2 ``black resonator strings'' (recently found) when the solutions overlap in the microcanonical ensemble. The entropy of the helical black string approaches zero when the horizon velocity along the string reaches its maximum given by the speed of light. Nevertheless, we find no evidence for the existence of regular horizonless solutions in this limit.
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