http://arxiv.org/abs/2304.01341
Einstein Telescope (ET) is a proposed third generation, wide-band gravitational wave (GW) detector. Given its improved detection sensitivity in comparison to the second generation detectors, it will be capable of exploring the universe with GWs up to very high redshifts. In this paper we present the algorithm to answer three main questions regarding the star formation rate density (SFR) (i) when did the formation terminate?, (ii) at what redshift does the SFR peak?, and finally (iii) what is the functional form of SFR at high redshift? for a given population. We present an algorithm to infer the functional form of SFR for different populations of compact binaries originating in stars from Population (Pop) I+II and Pop III, using ET as a single instrument. We show that the reconstruction of SFR is essentially independent of the time delay distributions up to $z \sim 14$ and the accuracy of the reconstruction strongly depends on the time delay distribution only at high redshifts of $z\gtrsim 14$. We define the termination redshift as the redshift where the SFR drops to 1\% of its peak value. In this analysis we constrain the peak of the SFR as a function of redshift and show that ET as a single instrument can distinguish the termination redshifts of different SFRs. The accurate estimate of the termination redshift depends on correctly modelling the tail of the time delay distribution representing delay time $\gtrsim 8$ Gyr.
N. Singh, T. Bulik, K. Belczynski, et. al.
Wed, 5 Apr 23
22/62
Comments: 16 pages, 5+3 figures
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