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Shapiro, Stuart L. Stephens, Branson Craig 2015-09-25T20:03:02Z 2015-09-25T20:03:02Z 10000-01-01 2007 2007 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. http://hdl.handle.net/2142/80555 (MiAaPQ)AAI3290390 eng Physics, Theory Numerical MHD Simulations in Dynamical Spacetimes text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.