论文标题
扩展的宇宙中重力探测器的重叠降低功能
Overlap reduction function for gravitational wave detectors in an expanding Universe
论文作者
论文摘要
由于二十年前证实了宇宙的扩展正在加速，因此弄清宇宙学常数对检测随机引力波背景的影响是什么。本文研究了一对单向跟踪引力波检测器中DE特性时空的重叠降低功能。在不断扩展的宇宙中，它被证明是非平凡的，因为沿视线的光的传播也会影响GW探测器的响应。发现当检测器对彼此接近时，宇宙的膨胀可以增强重叠函数的幅度值。对于纳米赫兹引力波，当银河脉冲星对通过milliarcsecond分离时，这种效应可以主导重叠函数的值。
Since it was confirmed two decades ago that the expansion of the Universe is accelerating, it would be of theoretical interests to figure out what is the influence from cosmological constant on detection of stochastic gravitational wave background. This paper studies the overlap reduction functions in de-Sitter space-time for a pair of one-way tracking gravitational wave detectors. It is shown to be non-trivial in an expanding Universe, because the propagation of light along line of sight also has effect on the response of GW detectors. It is found that the expansion of the Universe can enhance the value of magnitude of the overlap reduction functions, when the detector pairs are close to each other. For nanohertz gravitational waves, this effect can dominate the values of overlap reduction functions when the galactic pulsar pairs are separated by milliarcsecond.
