Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
PDF files require Adobe Acrobat Reader
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MC 6460
Kate Clements  Applied Math, University of Waterloo
Black Hole to White Hole Quantum Tunnelling
In this thesis, we explore the proposal that near the end of its lifetime, a Schwarzschild black hole will undergo a quantum transition into a ‘white hole': an object which is precisely the timereversal of the black hole. We interpret this transition as conventional quantum tunnelling. In order to evaluate the tunnelling probability, we characterize the region where quantum gravity effects dominate as enclosed by intersecting hypersurfaces on which the trace of the extrinsic curvature is equal to zero. This allows us to recover the tunnelling amplitude as specified by the boost angle between the normal vectors to these hypersurfaces. The longterm aim of this work is to find the complex solutions to the vacuum Einstein equations in the quantum gravity region, and thus provide a complete explanation for what happens to the matter that falls into a black hole.
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Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land promised to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.