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General Relativity and Quantum Cosmology, gr-qc
Abstract:
Strategies to model the inspiral, merger and ringdown gravitational waveform
of coalescing binaries are restricted in parameter space by the coverage of
available numerical-relativity simulations. When more numerical waveforms
become available, substantial efforts to manually (re-)calibrate models are
required. The aim of this study is to overcome these limitations. We explore a
method to combine the information of two waveform models: an accurate, but
computationally expensive target model, and a fast but less accurate
approximate model. In an automatic process we systematically update the basis
representation of the approximate model using information from the target model
and call the new model as the enriched basis. This new model can be evaluated
anywhere in the parameter space jointly covered by either the approximate or
target model, and the enriched basis model is considerably more accurate in
regions where the sparse target signals were available. Here we show a
proof-of-concept construction of signals from non-precessing, spinning
black-hole binaries based on the phenomenological waveform family. We show that
obvious shortcomings of the previous PhenomB being the approximate model in the
region of unequal masses and unequal spins can be corrected by combining its
basis with interpolated projection coefficients derived from the more recent
and accurate PhenomD as the target model. Our success in building such a model
constitutes an major step towards dynamically combining numerical relativity
data and analytical waveform models in the computationally demanding analysis
of LIGO and Virgo data.
