论文标题
在Sitter Spacetime中重力辐射能量的四倍公式的概括
A generalization of the quadruple formula for the energy of gravitational radiation in de Sitter spacetime
论文作者
论文摘要
我们研究了在Sitter时空中随时间变化物质来源产生的引力辐射。我们认为宇宙学的杀戮地平线,而不是Minkowski时空中辐射理论中使用的共形边界。辐射通过地平线的能量得出。我们的结果采用以质量和压力四倍矩表示的广义四式公式的形式,并以$ \sqrtλ$的形式明确写入第一阶。零订单术语恢复了为扰动的Minkowski Spacetime获得的著名爱因斯坦的四倍公式,而第一阶则是新的校正。
We study gravitational radiation produced by time changing matter source in de Sitter spacetime. We consider a cosmological Killing horizon instead of the conformal boundary used in the radiation theory in the Minkowski spacetime. The energy of the radiation passing through the horizon is derived. Our result takes the form of a generalized quadruple formula expressed in terms of the mass and pressure quadruple moments and is written explicitly up to the first order in $\sqrtΛ$. The zeroth order term recovers the famous Einstein's quadruple formula obtained for the perturbed Minkowski spacetime, whereas the first order term is a new correction.