Constructing static black hole-soliton spacetimes

Rose, Andrew M. (2019) Constructing static black hole-soliton spacetimes. Masters thesis, Memorial University of Newfoundland.

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Abstract

The purpose of this work is to construct new static solutions of five-dimensional vacuum general relativity describing asymptotically at black hole-soliton spacetimes. An asymptotically at soliton is a globally stationary, everywhere regular positiveenergy solution. They are characterized by non-trivial spacetime topology. It can be proved that in the vacuum everywhere-regular solitons cannot exist and we explicitly show this in specific examples by studying conical singularities in the spacetime. However, the existence of spacetimes containing both black holes and solitons has not been ruled out. To investigate this problem in a simplified setting, this thesis will focus on static solutions with two rotational symmetries. These solutions are known as Weyl solutions. We construct explicit solutions of this type and study their properties. We then generalize our solutions to the case with non-vanishing Maxwell fields and obtain static, electrically charged, black hole-soliton spacetimes. Throughout the work we take a general approach that should be valuable in a wider setting.

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