{"work":{"id":"7f676af4-165e-4154-8b4e-5d8d23b99aad","openalex_id":null,"doi":null,"arxiv_id":"1207.3088","raw_key":null,"title":"Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals","authors":null,"authors_text":"P","year":2012,"venue":"gr-qc","abstract":"One of the greatest theoretical challenges in the build-up to the era of second-generation gravitational-wave detectors is the modeling of generic binary waveforms. We introduce an approximation that has the potential to significantly simplify this problem. We show that generic precessing-binary inspiral waveforms (covering a seven-dimensional space of intrinsic parameters) can be mapped to a two-dimensional space of non-precessing binaries, characterized by the mass ratio and a single effective total spin. The mapping consists of a time-dependent rotation of the waveforms into the quadrupole-aligned frame, and is extremely accurate (matches $> 0.99$ with parameter biases in the total spin of $\\Delta \\chi \\leq 0.04$), even in the case of transitional precession. In addition, we demonstrate a simple method to construct hybrid post-Newtonian--numerical-relativity precessing-binary waveforms in the quadrupole-aligned frame, and provide evidence that our approximate mapping can be used all the way to the merger. Finally, based on these results, we outline a general proposal for the construction of generic waveform models, which will be the focus of future work.","external_url":"https://arxiv.org/abs/1207.3088","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-25T08:05:31.138915+00:00","pith_arxiv_id":"1207.3088","created_at":"2026-05-10T15:00:31.188220+00:00","updated_at":"2026-06-05T21:23:00.469572+00:00","title_quality_ok":true,"display_title":"Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals","render_title":"Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals"},"hub":{"state":{"work_id":"7f676af4-165e-4154-8b4e-5d8d23b99aad","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":12,"external_cited_by_count":null,"distinct_field_count":1,"first_pith_cited_at":"2020-04-14T13:46:34+00:00","last_pith_cited_at":"2026-05-20T18:51:46+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-06-07T08:41:29.703977+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":6},{"context_role":"method","n":3}],"polarity_counts":[{"context_polarity":"background","n":6},{"context_polarity":"use_method","n":3}],"runs":{},"summary":{},"graph":{},"authors":[]}}