论文标题
在SCRI和地平线上的De Sitter宇宙中重力辐射的能量
Energy of gravitational radiation in the de Sitter universe at the scri and at a horizon
论文作者
论文摘要
在本说明中，我们研究了在de Sitter时空围绕的一般相对论中的重力波电荷的符号公式的结果。我们在Bondi框架中以{\ it scri}的形式得出它们的显式形式，与连接的Noether表达式进行比较，并分析其规格依赖性，从而使我们能够明确固定边界项。我们还讨论了将初始数据强加于有限的电荷值所需的最低要求。此外，我们在DE Sitter组的作用下分析了能量的转型定律，并讨论其物理解释。最后，我们通过宇宙学范围而不是{\ it scri}来计算其通量。我们表明，在极限$λ\至0 $中，人们恢复了Trautman-Bondi公式，加强了最近的建议，即在存在宇宙常数的情况下，人们应该选择一个空表面的表面作为天体物理系统的更自然的边界。
In this note we investigate outcomes of a symplectic formula for the gravitational waves charges in the general relativity linearized around the de Sitter spacetime. We derive their explicit form at {\it scri} in the Bondi frame, compare with the connected Noether expression and analyze their gauge dependence which allows us to fix unambiguously boundary terms. We also discuss minimal requirements needed to impose on initial data to have finite values of charges. Furthermore, we analyze transformation laws of the energy upon the action of the de Sitter group and discuss its physical interpretation. Finally, we calculate its flux through a cosmological horizon instead of {\it scri}. We show that in the limit $Λ\to 0$, one recovers Trautman--Bondi formula strengthening recent proposal that one should choose a~null surface as a more natural boundary for the astrophysical systems in the presence of the cosmological constant.
