论文标题
引力孤子中的波浪慢衰减
Slow decay of waves in gravitational solitons
论文作者
论文摘要
我们考虑了一个全球固定（无地平线）的家族，五维超重力的渐近溶液。我们证明，在这种孤子空间中，无质量的线性标量波不能比及时对数均匀的衰减率更快。这种慢速衰减可以归因于无效测量学的稳定捕获。我们的证明使用了准时的准植物，这是波动方程的时间周期性近似解决方案。证明是基于以前的工作，以证明Kerr-Ads黑洞\ Cite {Holzegel：2013KNA}的类似结果。我们指出，这种缓慢的衰减暗示了非线性水平的不稳定性。
We consider a family of globally stationary (horizonless), asymptotically flat solutions of five-dimensional supergravity. We prove that massless linear scalar waves in such soliton spacetimes cannot have a uniform decay rate faster than inverse logarithmically in time. This slow decay can be attributed to the stable trapping of null geodesics. Our proof uses the construction of quasimodes which are time periodic approximate solutions to the wave equation. The proof is based on previous work to prove an analogous result in Kerr-AdS black holes \cite{holzegel:2013kna}. We remark that this slow decay is suggestive of an instability at the nonlinear level.
