Cosmological Tests Using GRBs, the Star Formation Rate and Possible Abundance Evolution

TL;DR

This paper compares predictions of the $ m ext{Lambda}$CDM and $R_{ m h}=ct$ cosmologies using Swift GRB data and star formation rates, exploring metallicity evolution and its impact on high-redshift star formation history.

Contribution

It introduces a method to reconcile GRB rates with star formation history by considering metallicity evolution and compares two cosmological models using GRB data.

Findings

Both cosmologies fit the GRB and SFR data well.

A modest metallicity evolution can explain the GRB rate discrepancy.

High-redshift SFR slope constrained to approximately -2.4 to -3.6.

Abstract

The principal goal of this paper is to use attempts at reconciling the Swift long gamma-ray bursts (LGRBs) with the star formation history (SFH) to compare the predictions of $\Lambda$CDM with those in the $R_{\rm h}=ct$ Universe. In the context of the former, we confirm that the latest Swift sample of GRBs reveals an increasing evolution in the GRB rate relative to the star formation rate (SFR) at high redshifts. The observed discrepancy between the GRB rate and the SFR may be eliminated by assuming a modest evolution parameterized as $(1+z)^{0.8}$---perhaps indicating a cosmic evolution in metallicity. However, we find a higher metallicity cut of $Z=0.52Z_{\odot}$ than was seen in previous studies, which suggested that LGRBs occur preferentially in metal poor environments, i.e., $Z\sim0.1-0.3Z_{\odot}$. We use a simple power-law approximation to the high-\emph{z} ($\ga 3.8$) SFH, i.e., $R_{\rm SF}\propto[(1+z)/4.8]^{\alpha}$, to examine how the high-\emph{z} SFR may be impacted by a possible abundance evolution in the Swift GRB sample. For an expansion history consistent with $\Lambda$CDM, we find that the Swift redshift and luminosity distributions can be reproduced with reasonable accuracy if $\alpha=-2.41_{-2.09}^{+1.87}$. For the $R_{\rm h}=ct$ Universe, the GRB rate is slightly different from that in $\Lambda$CDM, but also requires an extra evolutionary effect, with a metallicity cut of $Z=0.44Z_{\odot}$. Assuming that the SFR and GRB rate are related via an evolving metallicity, we find that the GRB data constrain the slope of the high-\emph{z} SFR in $R_{\rm h}=ct$ to be $\alpha=-3.60_{-2.45}^{+2.45}$. Both cosmologies fit the GRB/SFR data rather well.