{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80555"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80555","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Numerical MHD Simulations in Dynamical Spacetimes","abstract":"Numerical relativity probes some of the most energetic events in the universe using computer simulations. These simulations must account for the relevant physical processes while, at the same time, evolving the spacetime according to Einstein's equations of general relativity. In particular, magnetohydrodynamics (MHD) and relativistic gravity are of crucial importance in astrophysical phenomena such as stellar collapse to black holes, binary neutron star mergers, supernovae, and gamma-ray bursts. Many of these phenomena are promising sources of GWs for detectors such as LIGO (the Laser Interferometer Gravitational Wave Observatory). The complex interplay of the magnetic field and fluid in a dynamically changing spacetime makes numerical simulations indispensable for studying such systems. We have developed a code which simultaneously solves the Einstein equations for the gravitational field, Maxwell's equations for the electromagnetic field, and the equations of relativistic magnetohydrodynamics for the fluid. We apply this code to study the evolution of magnetized differentially rotating neutron stars and magnetorotational core collapse.","abstract_html":"Numerical relativity probes some of the most energetic events in the universe using computer simulations. These simulations must account for the relevant physical processes while, at the same time, evolving the spacetime according to Einstein's equations of general relativity. In particular, magnetohydrodynamics (MHD) and relativistic gravity are of crucial importance in astrophysical phenomena such as stellar collapse to black holes, binary neutron star mergers, supernovae, and gamma-ray bursts. Many of these phenomena are promising sources of GWs for detectors such as LIGO (the Laser Interferometer Gravitational Wave Observatory). The complex interplay of the magnetic field and fluid in a dynamically changing spacetime makes numerical simulations indispensable for studying such systems. We have developed a code which simultaneously solves the Einstein equations for the gravitational field, Maxwell's equations for the electromagnetic field, and the equations of relativistic magnetohydrodynamics for the fluid. We apply this code to study the evolution of magnetized differentially rotating neutron stars and magnetorotational core collapse.","abstract_has_math":false,"creators":["Stephens, Branson Craig"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Shapiro, Stuart L."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:03:02Z","date_published":"2015-09-25T20:03:02Z","updated_at":"2026-07-22T22:26:14Z","subjects":["Physics, Theory"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3290390"],"render_values":[{"text":"(MiAaPQ)AAI3290390","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80555","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Shapiro, Stuart L."]},{"key":"dc:creator","label":"Author","values":["Stephens, Branson Craig"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:03:02Z","10000-01-01","2007"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/80555","(MiAaPQ)AAI3290390"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Numerical relativity probes some of the most energetic events in the universe using computer simulations. These simulations must account for the relevant physical processes while, at the same time, evolving the spacetime according to Einstein's equations of general relativity. In particular, magnetohydrodynamics (MHD) and relativistic gravity are of crucial importance in astrophysical phenomena such as stellar collapse to black holes, binary neutron star mergers, supernovae, and gamma-ray bursts. Many of these phenomena are promising sources of GWs for detectors such as LIGO (the Laser Interferometer Gravitational Wave Observatory). The complex interplay of the magnetic field and fluid in a dynamically changing spacetime makes numerical simulations indispensable for studying such systems. We have developed a code which simultaneously solves the Einstein equations for the gravitational field, Maxwell's equations for the electromagnetic field, and the equations of relativistic magnetohydrodynamics for the fluid. We apply this code to study the evolution of magnetized differentially rotating neutron stars and magnetorotational core collapse.","Made available in DSpace on 2015-09-25T20:03:02Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3290390.pdf: 4533480 bytes, checksum: d9eb6af00453dfaf1fa185d95c7fb5a5 (MD5) Previous issue date: 2007","Embargo set by: Seth Robbins for item 81837 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","153 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007."]},{"key":"dc:title","label":"Title","values":["Numerical MHD Simulations in Dynamical Spacetimes"]}]}],"canonical_facts":{"dc:contributor":["Shapiro, Stuart L."],"dc:creator":["Stephens, Branson Craig"],"dc:date":["2015-09-25T20:03:02Z","10000-01-01","2007"],"dc:description":["Numerical relativity probes some of the most energetic events in the universe using computer simulations. These simulations must account for the relevant physical processes while, at the same time, evolving the spacetime according to Einstein's equations of general relativity. In particular, magnetohydrodynamics (MHD) and relativistic gravity are of crucial importance in astrophysical phenomena such as stellar collapse to black holes, binary neutron star mergers, supernovae, and gamma-ray bursts. Many of these phenomena are promising sources of GWs for detectors such as LIGO (the Laser Interferometer Gravitational Wave Observatory). The complex interplay of the magnetic field and fluid in a dynamically changing spacetime makes numerical simulations indispensable for studying such systems. We have developed a code which simultaneously solves the Einstein equations for the gravitational field, Maxwell's equations for the electromagnetic field, and the equations of relativistic magnetohydrodynamics for the fluid. 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