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arXiv · 2304.10435

Measuring the Hubble Constant Using Strongly Lensed Gravitational Wave Signals

Shun-Jia Huang·Yi-Ming Hu·Xian Chen·Jian-dong Zhang·En-Kun Li·Zucheng Gao·Xin-Yi Lin
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Abstract

The measurement of the Hubble constant $H_0$ plays an important role in the study of cosmology. In this letter, we propose a new method to constrain the Hubble constant using the strongly lensed gravitational wave (GW) signals. By reparameterizing the waveform, we find that the lensed waveform is sensitive to the $H_0$. Assuming the scenario that no electromagnetic counterpart of the GW source can be identified, our method can still give meaningful constraints on the $H_0$ with the information of the lens redshift. We then apply Fisher information matrix and Markov Chain Monte Carlo to evaluate the potential of this method. For the space-based GW detector, TianQin, the $H_0$ can be constrained within a relative error of $\sim$ 0.3-2\%, using a single strongly lensed GW event. Precision varies according to different levels of electromagnetic information.

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Shun-Jia Huang, Yi-Ming Hu, Xian Chen, Jian-dong Zhang, En-Kun Li, Zucheng Gao, Xin-Yi Lin. 2023-04-20. Measuring the Hubble Constant Using Strongly Lensed Gravitational Wave Signals. https://doi.org/10.1088/1475-7516%2F2023%2F08%2F003

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