Constraining the lensing of binary neutron stars from their stochastic background

Abstract

Gravitational wave (GW) transients from binary neutron star (BNS) coalescences can, in principle, be subject to gravitational lensing thereby increasing the amplitude and signal-to-noise ratio. We estimate the rate of lensed BNS events resolvable by LIGO and Virgo and find that it is constrained by the current non-detection of a stochastic GW background. Following closely the formalism we developed (10.1103/PhysRevLett.125.141102) in the context of binary black hole lensing, we show that at current sensitivities the fraction of BNS coalescences with lensing magnifications $\mu >1.02$ is less than $\sim 7\times 10^{-8}$ and therefore such events should not be expected in the near future. We also make predictions for projected future sensitivities.

arXiv comment4 pages, 2 figures, published in Physical Review D (22 October 2020)

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• Targeted Sub-threshold Search for Strongly-lensed Gravitational-wave Events
• Search for lensing signatures in the gravitational-wave observations from the first half of LIGO-Virgo's third observing run
• False positives for gravitational lensing: the gravitational-wave perspective
• Mitigating the effect of the population model uncertainty on the strong lensing Bayes factor using nonparametric methods