AI 中文总结
本文探讨史瓦西黑洞视界上模式的起源，论证粒子坠入时产生的激发无法离开视界，因其近视界引力场成为Dray-'t Hooft冲击波，度规扰动局限于视界。研究揭示了黑洞视界模式的本质及其不可观测性。
AI 中文摘要
我们讨论了出现在史瓦西黑洞视界上、并在表面引力的整数倍处衰减的模式的起源。我们认为，粒子坠入黑洞时在视界处产生的任何激发都无法离开视界。我们的论证基于以下事实：当粒子接近视界时，其速度必然被提升到超相对论值，其近视界引力场变为Dray-'t Hooft冲击波，这是爱因斯坦方程的精确、非解析且非微扰解。相应的度规扰动局限于视界处，永远无法到达远处的观测者。
英文摘要
We discuss the origin of the modes appearing at the Schwarzschild black hole horizon and decaying at integer multiples of the surface gravity. We argue that no excitations generated at the horizon by the plunging of a particle into a black hole can leave it. Our argument is based on the fact that, when the particle approaches the horizon, its speed is necessarily boosted to ultra-relativistic values and its near-horizon gravitational field becomes a Dray-'t Hooft shockwave, which is an exact, nonanalytic, and nonperturbative solution of Einstein's equations. The corresponding metric perturbations are localized at the horizon and can never reach a distant observer.
Comments7 pages, two-column format
