Title: Wave turbulence theory for gravitational waves in general relativity: The Space-Time Kolmogorov spectrum Show Chinese title

Title: 引力波在广义相对论中的波动湍流理论：时空科莫戈罗夫谱

Abstract: The recent observation of gravitational waves, stimulates the question of the longtime evolution of the space-time fluctuations. Gravitational waves interact themselves through the nonlinear character of Einstein's equations of general relativity. This nonlinear wave interaction allows the spectral energy transfer from mode to mode. According to the wave turbulence theory, the weakly nonlinear interaction of gravitational waves leads to the existence of an irreversible kinetic regime that dominates the longtime evolution. The resulting kinetic equation suggests the existence of an equilibrium wave spectrum and the existence of a non-equilibrium Kolmogorov-Zakharov spectrum for spatio-temporal fluctuations. Evidence of these solutions extracted in the fluctuating signal of the recent observations will be discussed in the paper. Probably, the present results would be pertinent in the new age of development of gravitational astronomy, as well as, in new tests of General Relativity. Show Chinese abstract

Abstract: 最近对引力波的观测，引发了关于时空涨落长期演化的疑问。 引力波通过广义相对论爱因斯坦方程的非线性特性相互作用。 这种非线性波相互作用允许能量从一种模式传递到另一种模式。 根据波湍流理论，引力波的弱非线性相互作用导致了一个不可逆的动能区域的存在，该区域主导了长期演化。 由此产生的动能方程表明存在一个平衡波谱，以及对于时空涨落的非平衡Kolmogorov-Zakharov谱的存在。 将在论文中讨论从最近观测的波动信号中提取的这些解的证据。 可能，目前的结果将在引力天文学的新时代以及广义相对论的新测试中具有相关性。