Gravitational wave interference via gravitational lensing: Measurements of luminosity distance, lens mass, and cosmological parameters

Shaoqi Hou (侯绍齐), Xi-Long Fan (范锡龙), Kai Liao (廖恺), and Zong-Hong Zhu (朱宗宏)
Phys. Rev. D 101, 064011 – Published 5 March 2020

Abstract

The gravitational lensing of gravitational waves might cause beat patterns detectable by interferometers. The feature of this kind of signal is the existence of the beat pattern in the early inspiral phase, followed by a seemingly randomly changing profile. After the strain peaks for the first time, the signal takes the usual waveform and the strain peaks for the second time. Once this signal is detected, the actual magnification factors can be obtained, so the true luminosity distance of the binary system is known. If the lens can be described by a point mass or a singular isothermal sphere, the functional forms of the time delay and the magnification factors are simple enough, so we can infer the mass of the lens or the cosmological parameters.

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  • Received 23 August 2019
  • Accepted 4 February 2020

DOI:https://doi.org/10.1103/PhysRevD.101.064011

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Shaoqi Hou (侯绍齐), Xi-Long Fan (范锡龙)*, and Kai Liao (廖恺)

  • School of Physics and Technology, Wuhan University, Wuhan, Hubei 430072, China

Zong-Hong Zhu (朱宗宏)

  • School of Physics and Technology, Wuhan University, Wuhan, Hubei 430072, China and Department of Astronomy, Beijing Normal University, Beijing 100875, China

  • *xilong.fan@whu.edu.cn
  • zhuzh@whu.edu.cn

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Issue

Vol. 101, Iss. 6 — 15 March 2020

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