Cosmological inference from standard sirens without redshift measurements

Abstract

The purpose of this work is to investigate the prospects of using the future standard siren data without redshift measurements to constrain cosmological parameters. With successful detections of gravitational wave (GW) signals an era of GW astronomy has begun. Unlike the electromagnetic domain, GW signals allow direct measurements of luminosity distances to the sources, while their redshifts remain to be measured by identifying electromagnetic counterparts. This leads to significant technical problems for almost all possible BH-BH systems. It is the major obstacle to cosmological applications of GW standard sirens. In this paper, we introduce the general framework of using luminosity distances alone for cosmological inference. The idea is to use the prior knowledge of the redshift probability distribution for coalescing sources from the intrinsic merger rates assessed with population synthesis codes. Then the posterior probability distributions for cosmological parameters can be calculated. We demonstrate the performance of our method on the simulated mock data and show that the luminosity distance measurement would enable an accurate determination of cosmological parameters up to 20% uncertainty level. We also find that in order to infer H 0 to 1% level with flat ΛCDM model, we need about 10 5 events.

Cosmology with the Einstein telescope: No Slip Gravity model and redshift specifications

“…These standard sirens are known to be self-calibrating, since these do not rely on a cosmic distance ladder. In order to get the redshift information of a GW event, and so place them on the luminosity distance-redshift (D L − z) relation, an accompanying electromagnetic signal is needed (see for instance Oguri 2016;Ding et al 2019;The LIGO Scientific Collaboration et al 2019;Mukherjee et al 2020;Yu, Zhang & Wang 2020, and references therein for other redshift measurement techniques in the case of dark standard sirens). Such a relation is clearly necessary for the reconstruction of the late-time cosmological expansion of the Universe, and has also been E-mail: amitra@lpnhe.in2p3.fr employed to constrain various cosmological parameters of modified theories of gravity.…”

Constraining the Hubble constant to a precision of about 1% using multi-band dark standard siren detections

“…• Other methods. There are also efforts to use the mass distribution of SBBH population [48,70], the intrinsic redshift probability distribution of compact binary mergers [121,122], and high-order correction of the GW waveform phase due to cosmic acceleration [123][124][125], etc., to break degeneracy and obtain redshift information.…”

Measuring the Hubble constant with black sirens

“…Here, improving on the idea presented in Ding et al (2019), we propose an alternative method to measure the Hubble constant. This technique uses all observed binary black hole coalescences, which represent the quasi totality of the events: the H0-z degeneracy of these black sirens is broken via the expected (parameter-dependent) redshift distribution of coalescences.…”