Instability of supersymmetric microstate geometries
Instability of supersymmetric microstate geometries
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DOI：
10.1007/jhep10(2016)031
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发表时间：
2016-07
影响因子：
5.4
通讯作者：
Felicity C. Eperon;H. Reall;Jorge E Santos
中科院分区：
文献类型：
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作者：
Felicity C. Eperon;H. Reall;Jorge E Santos
我们研究了具有五个非紧维的超对称、渐近平坦微态几何的经典稳定性。这样的几何允许一个“瞬逝能面”：一个无限红移的类时超曲面。在这样的曲面上，存在相对于无穷大能量为零的零测地线。这些测地线被稳定地捕获在能面附近的势阱中。我们提出了一个启发式的论点表明，这一功能很可能会导致这些解决方案的非线性不稳定性。我们认为，这种不稳定性的前兆可以看出，在线性扰动的行为：非线性稳定性将需要所有的线性扰动衰减足够迅速，但稳定的捕获意味着一些线性扰动衰减非常缓慢。我们详细研究了最对称的微观几何形状。通过构建这些几何的拟正规模式，我们表明，一般的线性扰动衰减速度比任何逆幂的时间。
We investigate the classical stability of supersymmetric, asymptotically flat, microstate geometries with five non-compact dimensions. Such geometries admit an “evanescent ergosurface”: a timelike hypersurface of infinite redshift. On such a surface, there are null geodesics with zero energy relative to infinity. These geodesics are stably trapped in the potential well near the ergosurface. We present a heuristic argument indicating that this feature is likely to lead to a nonlinear instability of these solutions. We argue that the precursor of such an instability can be seen in the behaviour of linear perturbations: nonlinear stability would require that all linear perturbations decay sufficiently rapidly but the stable trapping implies that some linear perturbation decay very slowly. We study this in detail for the most symmetric microstate geometries. By constructing quasinormal modes of these geometries we show that generic linear perturbations decay slower than any inverse power of time.