论文标题

$ 1+1 $ RINDLER SPACETIME的能源衰减

Energy Decay in $1+1$ Rindler Spacetime

论文作者

Franzen, Anne, Sanchez, Yafet Sanchez

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 Horizo​​n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.

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