Black Hole to White Hole Quantum Tunnelling
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Date
2019-08-26
Authors
Clements, Kate Elizabeth Alexandra
Advisor
Dupuis, Maite
Girelli, Florian
Girelli, Florian
Journal Title
Journal ISSN
Volume Title
Publisher
University of Waterloo
Abstract
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 time-reversal of the black hole. This transition takes the form of quantum tunnelling. In order to evaluate the tunnelling amplitude, 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 normals to these hypersurfaces. The long-term 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 a black hole after it evaporates.