Cosmography with Standard Sirens from the Einstein Telescope

TL;DR

This paper evaluates how third-generation gravitational wave detectors like the Einstein Telescope can precisely measure cosmographic parameters, such as the Hubble constant and deceleration parameter, using standard sirens with electromagnetic counterparts.

Contribution

It demonstrates the potential of the Einstein Telescope to accurately constrain cosmographic parameters with hundreds of detections, considering various observational factors.

Findings

Hubble constant can be measured at sub-percent accuracy.

Deceleration parameter can be constrained at a few percent level.

Negligible bias in parameter estimation with sufficient detections.

Abstract

We discuss the power of third-generation gravitational wave detectors to constrain cosmographic parameters in the case of electromagnetically bright standard sirens focusing on the specific case of the Einstein Telescope. We analyze the impact that the redshift source distribution, the number of detections and the observational error in the luminosity distance have on the inference of the first cosmographic parameters, and show that with a few hundreds detections the Hubble constant can be recovered at sub-percent level whereas the deceleration parameter at a few percent level, both with negligible bias.