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[ref] together with the refinements of Refs. [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1201.0983","title":"Cosmological Backgrounds of Gravitational Waves and eLISA/NGO: Phase Transitions, Cosmic Strings and Other Sources","url":"/paper/1201.0983","section":"Background and Rare Bursts from Cusps and Kinks","sentence":"The logarithmic Fourier transform $h(f) = |f| ∫h(t) e^i 2 πf t$ of the strain $h(t)$ produced by a cusp or a kink on a loop of length $l$ can be written as [ref]","intent_p":0.97,"contests_p":null},{"arxiv_id":"1201.4850","title":"Cosmic Super-Strings and Kaluza-Klein Modes","url":"/paper/1201.4850","section":"Kaluza-Klein Emission by Cusps","sentence":"As in [ref] , we take","intent_p":0.99,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":3,"quotes":[{"arxiv_id":"0812.4020","title":"Analytic Approaches to the Study of Small Scale Structure on Cosmic String Networks","url":"/paper/0812.4020","section":"Summary and discussion","sentence":"This is in contrast with [ref] which focus on the burst of GW produced by the cusps and kinks.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1709.03845","title":"Stochastic gravitational waves from cosmic string loops in scaling","url":"/paper/1709.03845","section":"Comparison with previous works","sentence":"Because we have paid special attention to consider a realistic loop distribution, it is difficult to compare our results to those having used single-sized distributions or production functions [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"2312.04017","title":"Oscillations of Ultralight Dark Photon into Gravitational Waves","url":"/paper/2312.04017","section":"ULDP Oscillations in the early universe","sentence":"This formula is similar to that of GWs produced from cosmic string oscillations [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":59,"sentences":61,"quotes":[{"arxiv_id":"1105.4383","title":"Cosmological effects of decaying cosmic string loops with TeV scale width","url":"/paper/1105.4383","section":"Decay of cosmic string loops","sentence":"GW emission from cosmic string loops [ref] is usually thought of as the main process of the energy losses of loops.","intent_p":0.9,"contests_p":null},{"arxiv_id":"0901.0867","title":"Gravitational Wave Bursts from Cosmic Superstring Reconnections","url":"/paper/0901.0867","section":"Introduction","sentence":"Prior work on gravitational radiation has focused on two processes: cusps (whereby a segment of the string momentarily moves at the speed of light) and kinks (formed after two cosmic strings collide and reconnect) [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2107.04578","title":"Stochastic gravitational-wave background from metastable cosmic strings","url":"/paper/2107.04578","section":"Introduction","sentence":"In a cosmic-string network, gravitational waves (GWs) are primarily emitted by oscillating string loops as well as in the form of GW bursts emitted by sharp features propagating on string loops, so-called cusps and kinks [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"2311.04857","title":"Comparing Repeated Gravitational-Wave Bursts Emitted by Cosmic Strings","url":"/paper/2311.04857","section":"Introduction","sentence":"Cusps are points where the string instantaneously reaches the speed of light [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"1912.08832","title":"Gravitational Wave Bursts as Harbingers of Cosmic Strings Diluted by Inflation","url":"/paper/1912.08832","section":"Introduction","sentence":"In addition to the SGWB, more recent bursts of GWs from cusps or kinks on string loops can potentially be resolved as individual events [ref] , but for standard scaling strings they are harder to find than the unresolved SGWB [ref] .","intent_p":0.84,"contests_p":null}]}],"unlabelled_sentences":100},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. 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