Energy function, formation rate and low-metallicity environment of fast radio bursts

Abstract

In this paper, we investigate the energy function, formation rate and environment of fast radio bursts (FRBs) using Parkes sample and Australian Square Kilometer Array Pathfinder (ASKAP) sample. For the first time, the metallicity effect on the formation rate is considered. If FRBs are produced by the mergers of compact binaries, the formation rate of FRBs should have a time delay relative to cosmic star formation rate (CSFR). We get the time delay is about 3-5 Gyr and the index of differential energy function $\gamma$ ($dN/dE\propto E^{-\gamma }$) is between 1.6 and 2.0 from redshift cumulative distribution. The value of $\gamma$ is similar to that of FRB 121102, which indicates single bursts may share the same physical mechanism with the repeaters. In another case, if the formation rate of FRB is proportional to the SFR without time delay, the index $\gamma$ is about 2.3. In both cases, we find that FRBs may prefer to occur in low-metallicity environment with $12+\log (O/H)\simeq 8.40$, which is similar to those of long gamma-ray bursts (GRBs) and hydrogen-poor superluminous supernovae (SLSNe-I).

7 pages, 4 figures, 1 table, accepted for publication in MNRAS

References in corpus (17)

• Cosmic Star Formation History
• A bright millisecond radio burst of extragalactic origin
• The direct localization of a fast radio burst and its host
• Long gamma-ray bursts and core-collapse supernovae have different environments
• The Host Galaxy and Redshift of the Repeating Fast Radio Burst FRB 121102
• The Repeating Fast Radio Burst FRB 121102 as Seen on Milliarcsecond Angular Scales
• The rate, luminosity function and time delay of non-Collapsar short GRBs
• A Second Source of Repeating Fast Radio Bursts
• A Multi-telescope Campaign on FRB 121102: Implications for the FRB Population
• A fast radio burst in the direction of the Carina dwarf spheroidal galaxy
• A sample of low energy bursts from FRB 121102
• Star Formation History up to z = 7.4: Implications for Gamma-Ray Bursts and the Cosmic Metallicity Evolution
• FRB event rate counts I --- Interpreting the Observations
• Measuring the cosmic proper distance from fast radio bursts
• The Fluence and Distance Distributions of Fast Radio Bursts
• A Fast Radio Burst Occurs Every Second throughout the Observable Universe
• Long GRBs are metallicity-biased tracers of star formation: evidence from host galaxies and redshift distribution

Cited by in corpus (7)

• The Physics of Fast Radio Bursts
• Cosmology-insensitive estimate of IGM baryon mass fraction from five localized fast radio bursts
• Statistical properties magnetar bursts and FRB 121102
• Cosmology with fast radio bursts in the era of SKA
• The Statistical Similarity of Repeating and Non-Repeating Fast Radio Bursts
• Fast Radio Bursts
• Comparison of the Origin of Short Gamma-Ray Bursts with or without Extended Emission