Measuring the cosmic proper distance from fast radio bursts

Abstract

The cosmic proper distance $d_P$ is a fundamental distance in the Universe. Unlike the luminosity and angular diameter distances, which correspond to the angular size, the proper distance is the length of light path from the source to observer. However, the proper distance has not been measured before. The recent redshift measurement of a repeat fast radio burst (FRB) can shed light on the proper distance. We show that the proper distance-redshift relation can indeed be derived from dispersion measures (DMs) of FRBs with measured redshifts. From Monte Carlo simulations, we find that about 500 FRBs with DM and redshift measurements can tightly constrain the proper distance-redshift relation. We also show that the curvature of our Universe can be constrained with a model-independent method using this derived proper distance-redshift relation and the observed angular diameter distances. Owing to the high event rate of FRBs, hundreds of FRBs can be discovered in the future by upcoming instruments. The proper distance will play an important role in investigating the accelerating expansion and the geometry of the Universe.

9 pages, 4 figures, proof version

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• Finding the missing baryons in the intergalactic medium with localized fast radio bursts
• A New Method to Measure Hubble Parameter $H(z)$ using Fast Radio Bursts
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• Fast Radio Burst Distributions Consistent with the First CHIME/FRB Catalog
• An 8.0\% Determination of the Baryon Fraction in the Intergalactic Medium from Localized Fast Radio Bursts
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• A Comprehensive Analysis on Repeating Fast Radio Bursts
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• The BINGO Project IX: Search for Fast Radio Bursts -- A Forecast for the BINGO Interferometry System
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• Probing Cosmic Curvature with Fast Radio Bursts and DESI DR2
• The BINGO/ABDUS Project: Forecast for cosmological parameters from a mock Fast Radio Bursts survey