Measuring eccentricity in binary black-hole initial data

dc.creatorGrigsby, Jason D.
dc.creatorCook, Gregory B.
dc.date2007-06-28
dc.date.accessioned2026-07-07T11:17:19Z
dc.date.available2026-07-07T11:17:19Z
dc.descriptionInitial data for evolving black-hole binaries can be constructed via many techniques, and can represent a wide range of physical scenarios. However, because of the way that different schemes parameterize the physical aspects of a configuration, it is not alway clear what a given set of initial data actually represents. This is especially important for quasiequilibrium data constructed using the conformal thin-sandwich approach. Most initial-data studies have focused on identifying data sets that represent binaries in quasi-circular orbits. In this paper, we consider initial-data sets representing equal-mass black holes binaries in eccentric orbits. We will show that effective-potential techniques can be used to calibrate initial data for black-hole binaries in eccentric orbits. We will also examine several different approaches, including post-Newtonian diagnostics, for measuring the eccentricity of an orbit. Finally, we propose the use of the ``Komar-mass difference'' as a useful, invariant means of parameterizing the eccentricity of relativistic orbits.
dc.description12 pages, 11 figures, submitted to Physical Review D, revtex4
dc.identifierhttps://arxiv.org/abs/0706.4286
dc.identifierhttp://arxiv.org/abs/0706.4286
dc.identifierPhys.Rev.D77:044011,2008
dc.identifierdoi:10.1103/PhysRevD.77.044011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192967
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleMeasuring eccentricity in binary black-hole initial data
dc.typetext

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