Spectrally accurate initial data in numerical relativity

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dc.contributor.advisor Harkin, Anthony
dc.contributor.advisor Ross, David
dc.contributor.advisor Faber, Joshua
dc.contributor.author Battista, Nicholas
dc.date.accessioned 2010-12-13T21:05:55Z
dc.date.available 2010-12-13T21:05:55Z
dc.date.issued 2010-05
dc.identifier.uri http://hdl.handle.net/1850/13009
dc.description.abstract Einstein's theory of general relativity has radically altered the way in which we perceive the universe. His breakthrough was to realize that the fabric of space is deformable in the presence of mass, and that space and time are linked into a continuum. Much evidence has been gathered in support of general relativity over the decades. Some of the indirect evidence for GR includes the phenomenon of gravitational lensing, the anomalous perihelion of mercury, and the gravitational redshift. One of the most striking predictions of GR, that has not yet been confirmed, is the existence of gravitational waves. The primary source of gravitational waves in the universe is thought to be produced during the merger of binary black hole systems, or by binary neutron stars. The starting point for computer simulations of black hole mergers requires highly accurate initial data for the space-time metric and for the curvature. The equations describing the initial space-time around the black hole(s) are non-linear, elliptic partial differential equations (PDE). We will discuss how to use a pseudo-spectral (collocation) method to calculate the initial puncture data corresponding to single black hole and binary black hole systems. en_US
dc.language.iso en_US en_US
dc.subject Applied mathematics en_US
dc.subject Astrophysics en_US
dc.subject Black holes en_US
dc.subject Numerical relativity en_US
dc.subject Partial differential equations en_US
dc.subject Spectral methods en_US
dc.subject.lcc QA320 .B38 2010
dc.subject.lcsh Spectral theory (Mathematics) en_US
dc.subject.lcsh Relativity (Physics) en_US
dc.subject.lcsh Space and time--Mathematics en_US
dc.subject.lcsh Gravitational waves en_US
dc.subject.lcsh Black holes (Astronomy) en_US
dc.title Spectrally accurate initial data in numerical relativity en_US
dc.type Thesis en_US
dc.description.college College of Science en_US
dc.description.department School of Mathematical Sciences en_US

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