Kavli Affiliate: Vahe Petrosian
| First 5 Authors: Sujay Champati, Vahé Petrosian, , ,
| Summary:
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. 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 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) > 2.5{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.
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