Myself and Prof. Antonella Palmese recently drafted a 2025 review of gravitational wave cosmology.

It is a gentle introduction and review to standard sirens cosmology is a contribution to the Encyclopedia of Astrophysics (edited by Springer). The review covers in details methods for gravitational-wave cosmology with the mass spectrum, galaxy catalogs and electromagnetic counterparts.

Please, feel free to read our paper and reach out to us for any question or suggestion.

Figure: Depiction of the source mass method to infer the Hubble constant.