Cosmological Evolution of Fast Radio Bursts and The Star Formation Rate

Abstract

We investigate the cosmological evolution of the luminosity and redshift of FRBs. As is the case for all extragalactic sources, we are dealing with data that are truncated by observational selection effects, the most important being the flux limit, which introduces the so-called Eddington-Malmquist bias. In addition, for FRBs, there is a significant uncertainty in the redshifts obtained from the observed dispersion measures (DMs). To correct for the truncation we use the non-parametric, non-binning Efron-Petrosian and Lynden-Bell methods, which give unbiased distributions of luminosities and redshifts and their cosmological evolution. To quantify the redshift uncertainty, we use a data set which accounts for uncertainties of contribution to the DM of the host galaxy, and DM uncertainties due to fluctuation in the intergalactic medium. This data, in addition to a mean redshift, gives the one-sigma errors. We construct three samples with lower, mean, and upper redshifts and apply the above methods to each. For the three samples, we find similar (1) $\sim 3\sigma$ evidence for luminosity evolution, (2) a luminosity function that can be fit by a simple broken power law, and (3) a comoving density formation rate that decreases rapidly with redshift unlike the cosmic star formation rate (SFR). This rate is similar to that of short gamma-ray bursts, which are believed to result from compact star mergers with a formation rate delayed relative to the SFR. This may further support the hypothesis that magnetars are the progenitors of FRBs.

8 Pages, 5 Figures, 2 Tables

References in corpus (17)

• Cosmic Star Formation History
• A bright millisecond radio burst of extragalactic origin
• A New Electron Density Model for Estimation of Pulsar and FRB Distances
• A census of baryons in the Universe from localized fast radio bursts
• The First CHIME/FRB Fast Radio Burst Catalog
• The Konus-Wind catalog of gamma-ray bursts with known redshifts. I. Bursts detected in the triggered mode
• Cosmological Evolution of Long Gamma-ray Bursts and Star Formation Rate
• Inferring the Energy and Distance Distributions of Fast Radio Bursts using the First CHIME/FRB Catalog
• An unexpectedly low-redshift excess of Swift gamma-ray burst rate
• Inferring redshift and energy distributions of fast radio bursts from the first CHIME/FRB catalog
• Cosmological Evolution of Fermi-LAT Gamma-ray Blazars Using Novel Nonparametric Methods
• Birth and Evolution of Fast Radio Bursts: Strong Population-Based Evidence for a Neutron-Star Origin
• Revised Constraints on the fast radio burst population from the first CHIME/FRB catalog
• The X-ray Luminosity Function Evolution of Quasars and the Correlation Between the X-ray and Ultraviolet Luminosities
• Fast radio burst energy function in the presence of $\mathrm{D}{\mathrm{M}}_{\mathrm{host}}$ variation
• Revisiting the energy distribution and formation rate of CHIME fast radio bursts
• On The Relation Between the AGN Jet and Accretion Disk Emissions