Self-intersecting marginally outer-trapped surfaces within spherically symmetric black holes

Chan, Kam To Billy (2023) Self-intersecting marginally outer-trapped surfaces within spherically symmetric black holes. Masters thesis, Memorial University of Newfoundland.

[English] PDF - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Download (11MB)

Abstract

Black hole mergers have been studied for over 50 years but are still not fully understood, despite growing relevance with the constant stream of gravitational wave detections. Due to the non-linearity of Einstein’s theory of gravity, it is difficult to draw an analytical solution. Numerical simulations of the merger process have progressed and are now able to discern the dynamics of two black hole horizons eventually becoming one, with the involvement of exotic self-intersecting surfaces. Further study has shown that these self-intersecting surfaces appear not only in the dynamical case of black hole mergers, but also for static black holes. This manuscript provides a background to the advancement of our understanding of black hole mergers, discovery of these self-intersecting surfaces, and our advancement in understanding these self-intersecting surfaces through their analysis inside different black holes.

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