Analyzing clustering of astrophysical gravitational-wave sources: Luminosity-distance space distortions

Understand

We present a formulation of observed number density fluctuations of gravitational-wave (GW) sources in a three dimensional space.

• In GW observations, redshift identification for each GW source is a challenging issue, in particular, for high redshift sources.
• The use of observed luminosity distance as a distance indicator will be a simple yet optimal way for measuring the clustering signal.
• We derive the density fluctuations of GW sources estimated from observed luminosity distance and sky position of each source.