The production of axisymmetric initial data for distorted black holes at a moment
of time symmetry is considered within the (3+1) context of general relativity. The
initial data is made to contain a distorted marginally trapped surface ensuring that,
modulo cosmic censorship, the spacetime will contain a black hole. The resulting
equations on the complicated domain are solved using the piecewise linear finite element method which adapts to the curved surface of the marginally trapped surface.
The initial data is then analyzed to calculate the mass of the space time as
well as an upper bound on the fraction of the total energy available for radiation.
The families of initial data considered contain no more than few percent of the
total energy available for radiation even in cases of extreme distortion. It is shown
that the mass of certain initial data slices depend to first order on the area of the
marginally trapped surface and the gaussian curvature of prominent features.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:BVAU.2429/3325 |
| Date | 05 1900 |
| Creators | Tonita, Aaryn |
| Publisher | University of British Columbia |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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