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RELATIVISTIC FORCE-FREE ELECTRODYNAMICS WITH SPECTRAL METHODS

dc.contributor.authorArmaza Bascur, Cristóbal
dc.contributor.chairTeukolsky, Saulen_US
dc.contributor.committeeMemberChernoff, Daviden_US
dc.contributor.committeeMemberLai, Dongen_US
dc.contributor.committeeMemberNicholson, Philipen_US
dc.date.accessioned2024-04-05T18:46:04Z
dc.date.available2024-04-05T18:46:04Z
dc.date.issued2023-08
dc.description161 pagesen_US
dc.description.abstractIn the current multi-messenger era of astronomy, the low-inertia limit of magnetohydrodynamics, or “force-free” electrodynamics, has regained attention as a first approximation to the modeling of the anticipated precursor emission from binary neutron star mergers. Over the past two decades, force-free simulations have offered valuable insight into the global properties of isolated neutron star and black hole electrodynamics. However, force-free codes frequently assume a formulation of the equations whose initial value problem is not well-posed for all wave propagation axes, rendering their applicability to more general problems uncertain. In this thesis, I explore the numerical viability of a newly developed formulation of the force-free equations using spectral methods. The new equations enjoy improved mathematical properties while retaining the physical meaning of the original system. In this work, I also complete the formulation by providing a framework suitable for boundary conditions involving neutron stars. Test cases as well as limitations are discussed.en_US
dc.identifier.doihttps://doi.org/10.7298/sqwb-g453
dc.identifier.otherArmazaBascur_cornellgrad_0058F_13752
dc.identifier.otherhttp://dissertations.umi.com/cornellgrad:13752
dc.identifier.urihttps://hdl.handle.net/1813/114563
dc.language.isoen
dc.subjectblack holesen_US
dc.subjecthyperbolicen_US
dc.subjectmethods: boundary conditionsen_US
dc.subjectmethods: characteristicsen_US
dc.subjectMHDen_US
dc.subjectneutron starsen_US
dc.titleRELATIVISTIC FORCE-FREE ELECTRODYNAMICS WITH SPECTRAL METHODSen_US
dc.typedissertation or thesisen_US
dcterms.licensehttps://hdl.handle.net/1813/59810.2
thesis.degree.disciplineAstronomy and Space Sciences
thesis.degree.grantorCornell University
thesis.degree.levelDoctor of Philosophy
thesis.degree.namePh. D., Astronomy and Space Sciences

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