{"work":{"id":"dd57408f-1156-4bde-ba22-22b4e7e9f07e","openalex_id":null,"doi":null,"arxiv_id":"1110.2720","raw_key":null,"title":"Constraining Lorentz-violating, Modified Dispersion Relations with Gravitational Waves","authors":null,"authors_text":"Mirshekari, S","year":2011,"venue":"gr-qc","abstract":"Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can reproduce a range of known Lorentz-violating predictions and investigate their impact on the propagation of gravitational waves. A modified dispersion relation forces different wavelengths of the gravitational wave train to travel at slightly different velocities, leading to a modified phase evolution observed at a gravitational-wave detector. We show how such corrections map to the waveform observable and to the parametrized post-Einsteinian framework, proposed to model a range of deviations from General Relativity. Given a gravitational-wave detection, the lack of evidence for such corrections could then be used to place a constraint on Lorentz violation. The constraints we obtain are tightest for dispersion relations that scale with small power of the graviton's momentum and deteriorate for a steeper scaling.","external_url":"https://arxiv.org/abs/1110.2720","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-20T20:59:01.522825+00:00","pith_arxiv_id":"1110.2720","created_at":"2026-05-09T06:19:14.976206+00:00","updated_at":"2026-05-20T20:59:01.522825+00:00","title_quality_ok":true,"display_title":"Constraining Lorentz- violating, modified dis- persion relations with gravitational waves","render_title":"Constraining Lorentz- violating, modified dis- persion relations with gravitational waves"},"hub":{"state":{"work_id":"dd57408f-1156-4bde-ba22-22b4e7e9f07e","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":10,"external_cited_by_count":null,"distinct_field_count":2,"first_pith_cited_at":"2014-03-28T14:04:31+00:00","last_pith_cited_at":"2026-05-14T15:23:15+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":"2026-05-26T14:56:45.413331+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":5},{"context_role":"method","n":1}],"polarity_counts":[{"context_polarity":"background","n":5},{"context_polarity":"use_method","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}