Gravitational lensing effects on parameter estimation in gravitational wave detection with advanced detectors

Zhoujian Cao, Li-Fang Li, and Yan Wang
Phys. Rev. D 90, 062003 – Published 4 September 2014

Abstract

The gravitational lensing effect is important to the detection of electromagnetic signals in astrophysics. The gravitational wave lensing effect has also been found significant to gravitational wave detection in the past decade. Recent analysis shows that the lensing events for advanced detectors could be quite plausible. The black holes in our Milky Way Galaxy may play the role of lens objects. These facts motivate us to study the lensing effects on gravitational wave signals for advanced detectors. Taking advanced LIGO and Einstein Telescope for examples, we investigate the lensing effects on the parameter extraction of gravitational wave signals. Using the Markov chain Monte Carlo simulation together with matched filtering methods, we find that the lensing effect for a lens object with small mass is negligible. But when the mass of the lens object increases to larger than 1000M the lensing effect becomes important. Using the template without lensing corrections would result in loss of signal detections. In contrast if we consider templates with lensing effects, the lensed signal may provide much information about the lens black hole. These facts may give us a new way to determine the parameters of the lensing object. For example, this kind of signal may also help us estimate the mass and the distance of the supermassive black hole hosted at the center of our Galaxy.

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  • Received 19 December 2013

DOI:https://doi.org/10.1103/PhysRevD.90.062003

© 2014 American Physical Society

Authors & Affiliations

Zhoujian Cao*

  • Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

Li-Fang Li

  • State Key Laboratory of Space Weather, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190, China

Yan Wang

  • Albert Einstein Institute, Callinstrasse 38, D-30167 Hanover, Germany and QUEST Centre for Quantum Engineering and Space-Time Research, Leibniz University of Hanover, D-30167 Hanover, Germany

  • *zjcao@amt.ac.cn
  • lilf@itp.ac.cn
  • yan.wang@aei.mpg.de

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Issue

Vol. 90, Iss. 6 — 15 September 2014

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