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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Cited by in corpus (10)

• The Physics of Fast Radio Bursts
• Fast Radio Bursts and cosmological tests
• Intergalactic medium dispersion measures of fast radio bursts estimated from IllustrisTNG simulation and their cosmological applications
• Cosmology-independent estimate of the fraction of baryon mass in the IGM from fast radio burst observations
• Cosmology-insensitive estimate of IGM baryon mass fraction from five localized fast radio bursts
• 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
• Prospects of strongly lensed repeating fast radio bursts: complementary constraints on dark energy evolution
• Detection of Fast Radio Bursts on the Large Scanning Antenna of the Lebedev Physical Institute
• Energy function, formation rate and low-metallicity environment of fast radio bursts