{"title":"偏心轨道上双黑洞的地平线通量","authors":"Sayak Datta","doi":"10.1140/epjc/s10052-024-13371-8","DOIUrl":null,"url":null,"abstract":"<div><p>We compute the rate of change of mass and angular momentum of a black hole, namely tidal heating, in an eccentric orbit. The change is caused due to the tidal field of the orbiting companion. We compute the result for both the spinning and non-spinning black holes in the leading order of the mean motion, namely <span>\\(\\xi \\)</span>. We demonstrate that the rates get enhanced significantly for nonzero eccentricity. Since eccentricity in a binary evolves with time we also express the results in terms of an initial eccentricity and azimuthal frequency <span>\\(\\xi _{\\phi }\\)</span>. In the process, we developed a prescription that can be used to compute all physical quantities in a series expansion of initial eccentricity, <span>\\(e_0\\)</span>. These results are computed taking account of the spin of the binary components. The prescription can be used to compute very high-order corrections of initial eccentricity. We use it to find the contribution to eccentricity up to <span>\\({\\mathcal {O}}(e_0^5)\\)</span> in the spinning binary. Using the computed expression of eccentricity, we derived the rate of change of mass and angular momentum of a black hole, both rotating and non-rotating, in terms of initial eccentricity and azimuthal frequency up to <span>\\({\\mathcal {O}}(e_0^6)\\)</span>. With the computed fluxes we also compute for the first time the leading order dephasing in both cases analytically up to <span>\\({\\mathcal {O}}(e_0^6)\\)</span> and study its impact. We argue that for high signal-to-noise ratio sources, these contributions require inclusion in the waveform modeling.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":null,"pages":null},"PeriodicalIF":4.2000,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-024-13371-8.pdf","citationCount":"0","resultStr":"{\"title\":\"Horizon fluxes of binary black holes in eccentric orbits\",\"authors\":\"Sayak Datta\",\"doi\":\"10.1140/epjc/s10052-024-13371-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We compute the rate of change of mass and angular momentum of a black hole, namely tidal heating, in an eccentric orbit. The change is caused due to the tidal field of the orbiting companion. We compute the result for both the spinning and non-spinning black holes in the leading order of the mean motion, namely <span>\\\\(\\\\xi \\\\)</span>. We demonstrate that the rates get enhanced significantly for nonzero eccentricity. Since eccentricity in a binary evolves with time we also express the results in terms of an initial eccentricity and azimuthal frequency <span>\\\\(\\\\xi _{\\\\phi }\\\\)</span>. In the process, we developed a prescription that can be used to compute all physical quantities in a series expansion of initial eccentricity, <span>\\\\(e_0\\\\)</span>. These results are computed taking account of the spin of the binary components. The prescription can be used to compute very high-order corrections of initial eccentricity. We use it to find the contribution to eccentricity up to <span>\\\\({\\\\mathcal {O}}(e_0^5)\\\\)</span> in the spinning binary. Using the computed expression of eccentricity, we derived the rate of change of mass and angular momentum of a black hole, both rotating and non-rotating, in terms of initial eccentricity and azimuthal frequency up to <span>\\\\({\\\\mathcal {O}}(e_0^6)\\\\)</span>. With the computed fluxes we also compute for the first time the leading order dephasing in both cases analytically up to <span>\\\\({\\\\mathcal {O}}(e_0^6)\\\\)</span> and study its impact. We argue that for high signal-to-noise ratio sources, these contributions require inclusion in the waveform modeling.</p></div>\",\"PeriodicalId\":788,\"journal\":{\"name\":\"The European Physical Journal C\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2024-10-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1140/epjc/s10052-024-13371-8.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal C\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjc/s10052-024-13371-8\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, PARTICLES & FIELDS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal C","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjc/s10052-024-13371-8","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
Horizon fluxes of binary black holes in eccentric orbits
We compute the rate of change of mass and angular momentum of a black hole, namely tidal heating, in an eccentric orbit. The change is caused due to the tidal field of the orbiting companion. We compute the result for both the spinning and non-spinning black holes in the leading order of the mean motion, namely \(\xi \). We demonstrate that the rates get enhanced significantly for nonzero eccentricity. Since eccentricity in a binary evolves with time we also express the results in terms of an initial eccentricity and azimuthal frequency \(\xi _{\phi }\). In the process, we developed a prescription that can be used to compute all physical quantities in a series expansion of initial eccentricity, \(e_0\). These results are computed taking account of the spin of the binary components. The prescription can be used to compute very high-order corrections of initial eccentricity. We use it to find the contribution to eccentricity up to \({\mathcal {O}}(e_0^5)\) in the spinning binary. Using the computed expression of eccentricity, we derived the rate of change of mass and angular momentum of a black hole, both rotating and non-rotating, in terms of initial eccentricity and azimuthal frequency up to \({\mathcal {O}}(e_0^6)\). With the computed fluxes we also compute for the first time the leading order dephasing in both cases analytically up to \({\mathcal {O}}(e_0^6)\) and study its impact. We argue that for high signal-to-noise ratio sources, these contributions require inclusion in the waveform modeling.
期刊介绍:
Experimental Physics I: Accelerator Based High-Energy Physics
Hadron and lepton collider physics
Lepton-nucleon scattering
High-energy nuclear reactions
Standard model precision tests
Search for new physics beyond the standard model
Heavy flavour physics
Neutrino properties
Particle detector developments
Computational methods and analysis tools
Experimental Physics II: Astroparticle Physics
Dark matter searches
High-energy cosmic rays
Double beta decay
Long baseline neutrino experiments
Neutrino astronomy
Axions and other weakly interacting light particles
Gravitational waves and observational cosmology
Particle detector developments
Computational methods and analysis tools
Theoretical Physics I: Phenomenology of the Standard Model and Beyond
Electroweak interactions
Quantum chromo dynamics
Heavy quark physics and quark flavour mixing
Neutrino physics
Phenomenology of astro- and cosmoparticle physics
Meson spectroscopy and non-perturbative QCD
Low-energy effective field theories
Lattice field theory
High temperature QCD and heavy ion physics
Phenomenology of supersymmetric extensions of the SM
Phenomenology of non-supersymmetric extensions of the SM
Model building and alternative models of electroweak symmetry breaking
Flavour physics beyond the SM
Computational algorithms and tools...etc.