The failure of the Fisher Matrix when including tidal terms: Considering construction of template banks of tidally deformed binary neutron stars

Understand

Recent gravitational-wave observations have begun to constrain the internal physics of neutron stars.

• However, current detection searches for neutron star systems assume that potential neutron stars are low-mass black holes, ignoring any affect on the gravitational-wave signal due to the internal neutron-star physics.
• We wish to create a template bank of binary neutron star waveforms including the effect of tidal deformability.
• However, we find that the Fisher matrix, which is commonly used to approximate match calculations when placing template banks, is unsuitable to predict the match between two binary neutron star waveforms.