Metrics for multi-detector template placement in searches for short-duration nonprecessing inspiral gravitational-wave signals

Understand

Using the family of multi-detector F-statistic metrics for short duration, nonprecessing inspiral signals, we derive a marginalized metric that is directly applicable to the problem of generating template banks for coincident and coherent multi-detector searches for gravitational-waves.

• This metric is compared to other average metrics, such as that proposed for the case of searches associated with continuous signals from rotating neutron stars.
• We show how the four-dimensional metric can be separated into two two-dimensional metrics associated with the sky and mass parameter subspaces, allowing the creation of separate template banks for these subspaces.
• Finally, we present an algorithm for computing the mass space metric associated with both coincident and coherent multi-detector targeted or all-sky searches for short duration, nonprecessing inspiral gravitational-wave signals.