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.

arXiv comment9 pages, 4 figures, proof version

References in corpus (30)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• The ATNF Pulsar Catalogue
• A bright millisecond radio burst of extragalactic origin
• A Population of Fast Radio Bursts at Cosmological Distances
• A Repeating Fast Radio Burst
• The direct localization of a fast radio burst and its host
• Observational constraints on Cosmic Reionization
• The Host Galaxy and Redshift of the Repeating Fast Radio Burst FRB 121102
• The Baryon Census in a Multiphase Intergalactic Medium: 30% of the Baryons May Still Be Missing
• Reconstruction of dark energy and expansion dynamics using Gaussian processes
• Determination of the Cosmic Distance Scale from Sunyaev-Zel'dovich Effect and Chandra X-ray Measurements of High Redshift Galaxy Clusters
• The Physics of the Intergalactic Medium
• Detection of Extended He II Reionization in the Temperature Evolution of the Intergalactic Medium
• The Hubble Constant: A Summary of the HST Program for the Luminosity Calibration of Type Ia Supernovae by Means of Cepheids
• Locating the "missing" baryons with extragalactic dispersion measure estimates
• Cosmic Dispersion Measure from Gamma-Ray Burst Afterglows: Probing the Reionization History and the Burst Environment
• HeII Reionization and its Effect on the IGM
• Probing the Cosmic Reionization History and Local Environment of Gamma-Ray Bursts through Radio Dispersion
• Fast radio bursts as a cosmic probe?
• Fast Radio Burst/Gamma-Ray Burst Cosmography
• New test of the FLRW metric using the distance sum rule
• Null test of the cosmic curvature using $H(z)$ and supernovae data
• Gamma-ray Burst Cosmology
• New Model-independent Method to Test the Curvature of the Universe
• Extracting host galaxy dispersion measure and constraining cosmological parameters using fast radio burst data
• Model-independent estimations for the curvature from standard candles and clocks

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• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• The Physics of Fast Radio Bursts
• An 8\% Determination of the Hubble Constant from localized Fast Radio Bursts
• Future Cosmological Constraints from Fast Radio Bursts
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• Cosmology-independent estimate of the fraction of baryon mass in the IGM from fast radio burst observations
• The BINGO Project I: Baryon Acoustic Oscillations from Integrated Neutral Gas Observations
• Cosmology-insensitive estimate of IGM baryon mass fraction from five localized fast radio bursts
• Cosmological parameter estimation for dynamical dark energy models with future fast radio burst observations
• Finding the missing baryons in the intergalactic medium with localized fast radio bursts
• Lensing of Fast Radio Bursts by Binaries to Probe Compact Dark Matter
• A New Method to Measure Hubble Parameter $H(z)$ using Fast Radio Bursts
• A universal energy distribution for FRB 121102
• Limits on the Weak Equivalence Principle and Photon Mass with FRB 121102 Sub-pulses
• Probing Diffuse Gas with Fast Radio Bursts
• Testing cosmic anisotropy with Pantheon sample and quasars at high redshifts
• 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
• Prospects of strongly lensed repeating fast radio bursts: complementary constraints on dark energy evolution
• A forecast of using fast radio burst observations to constrain holographic dark energy
• Constraining the Evolution of the Baryon Fraction in the IGM with FRB and H(z) data
• 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
• Cosmic Anisotropy and Fast Radio Bursts
• Inferring redshift and energy distributions of fast radio bursts from the first CHIME/FRB catalog
• Empirical estimates of the Galactic halo contribution to the dispersion measures of extragalactic fast radio bursts using X-ray absorption
• Effect of Redshift Distributions of Fast Radio Bursts on Cosmological Constraints
• A Comprehensive Analysis on Repeating Fast Radio Bursts
• Fast Radio Bursts and Artificial Neural Networks: a cosmological-model-independent estimation of the Hubble Constant
• Probing the baryon mass fraction in IGM and its redshift evolution with fast radio bursts using Bayesian inference method
• Propagation effects in the FRB 20121102A spectra
• Probing the anisotropic distribution of baryon matter in the Universe using fast radio bursts
• Probing cosmic anisotropy with GW/FRB as upgraded standard sirens
• Dark photon dark matter and fast radio bursts
• FRB Line-of-sight Ionization Measurement From Lightcone AAOmega Mapping Survey: the First Data Release
• The BINGO Project IX: Search for Fast Radio Bursts -- A Forecast for the BINGO Interferometry System
• Gaussian Processes, Median Statistics, Milky Way Rotation Curves
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• Search for the correlations between host properties and $\mathrm{D}{\mathrm{M}}_{\mathrm{host}}$ of fast radio bursts: constraints on the baryon mass fraction in IGM
• 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