论文标题
$ 1+1 $ RINDLER SPACETIME的能源衰减
Energy Decay in $1+1$ Rindler Spacetime
论文作者
论文摘要
我们考虑在固定的Rindler背景上的无质量标量波方程的解决方案$ \box_gψ= 0 $,并显示了与Null Infinity附近的Rindler观察者以及与Rindler Horizon附近的本地观察者有关的能量通量的多项式衰变。主要估计是通过使用合适的向量场乘数来获得的,该矢量场乘数类似于Schwarzschild时空和Minkowski SpaceTime中使用的估计值。
We consider solutions of the massless scalar wave equation $\Box_gψ=0$ on a fixed Rindler background and show polynomial decay of the energy flux related to the Rindler observers near null infinity and to local observers near the Rindler horizon. The main estimates are obtained via the vector field method using suitable vector fields multipliers which are analogous to the ones used in Schwarzschild spacetime and Minkowski spacetime.