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The third-generation (3G) gravitational wave (GW) detectors such as theEinstein telescope (ET) or Cosmic Explorer (CE) are expected to play animportant role in cosmology. With the help of 3G detectors, we will be able toprobe large-scale structure (LSS) features such as baryon acoustic oscillations(BAO), galaxy bias, etc. We explore the possibility to do precision cosmology,with the 3G GW detectors by measuring the angular BAO scale using localizationvolumes of compact binary merger events. Through simulations, we show that witha 3G detector network, by probing the angular BAO scale using purely GWobservations, we can constrain the Hubble constant for the standard model ofcosmology ($\Lambda$CDM) with $90\%$ credible regions as $H_0 = 59.4^{+33.9}_{-17.7} ~\mathrm{km}~\mathrm{s}^{-1}~\mathrm{Mpc}^{-1}$. When combinedwith BAO measurements from galaxy surveys, we show that it can be used toconstrain various models of cosmology such as parametrized models for darkenergy equations of state. We also show how cosmological constraints using BAOmeasurements from GW observations in the 3G era will complement the same fromspectroscopic surveys.

Probing Cosmology with Baryon Acoustic Oscillations using Gravitational Waves