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首页> 外文期刊>Physical review, D >Phenomenological inclusion of alternative dispersion relations to the Teukolsky equation and its application to bounding the graviton mass with gravitational-wave measurements
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Phenomenological inclusion of alternative dispersion relations to the Teukolsky equation and its application to bounding the graviton mass with gravitational-wave measurements

机译：替代分散关系与Teukolsky方程的现象学包含在引力波测量中的拟臂块的应用

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Existing constraints on the graviton mass from gravitational-wave detections rely on the phase difference developed between different frequencies during the propagation. Effects on the quasinormal mode frequencies of the black-hole ringdown due to the graviton mass are often ignored. While perturbation theories of black holes have been well developed in the context of general relativity, this is not the case for modified gravity theories. We propose a phenomenological modification to the Teukolsky equation of perturbed black holes to include the dispersion relation due to a gravitational field of nonzero mass. Solving this modified Teukolsky equation by logarithmic perturbation theory, we compute the shift of the quasinormal mode frequencies due to the presence of a graviton mass. This hypothetical shift can be used to constrain the graviton mass with ringdown signals, either standalone or in conjunction with the phase difference accumulated due to the wave propagation. We estimate that constraints on the graviton mass of mg ≤ 10~(?15)eV can be put with a detection of the ringdown signal alone by second generation gravitationalwave detectors.
机译：对重力波检测的引力质量的现有约束依赖于传播期间不同频率在不同频率之间产生的相位差。对引起的格力质量引起的黑洞旋转的对准模式频率的影响通常被忽略。虽然在一般相对论的背景下，黑洞的扰动理论已经过分发展，但对于改进的重力理论，这不是这种情况。我们提出了对扰动黑洞的Teukolsky方程的现象学改性，以包括由于非零质量的引力领域引起的分散关系。通过对数扰动理论求解这种改进的Teukolsky方程，我们通过存在墓穴质量的存在来计算异种模式频率的偏移。该假设偏移可用于用振荡信号来限制Rempown信号，无论是独立的还是结合由于波传播而累积的相位差。我们估计Mg≤10〜（α15）EV的格子质量上的约束可以通过第二代重力波检测器检测振荡信号。

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