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Title: Twistor theory of higher-dimensional black holes
Author: Metzner, Norman
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 2012
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The correspondence of stationary, axisymmetric, asymptotically flat space-times and bundles over a reduced twistor space has been established in four dimensions. The main impediment for an application of this correspondence to examples in higher dimensions is the lack of a higher-dimensional equivalent of the Ernst poten- tial. This thesis will propose such a generalized Ernst potential, point out where the rod structure of the space-time can be found in the twistor picture and thereby provide a procedure for generating solutions to the Einstein field equations in higher dimensions from the rod structure, other asymptotic data, and the requirement of a regular axis. Examples in five dimensions are studied and necessary tools are developed, in particular rules for the transition between different adaptations of the patching matrix and rules for the elimination of conical singularities.
Supervisor: Tod, Paul ; Mason, Lionel Sponsor: EPSRC ; Studienstiftung des deutschen Volkes ; St John's College, University of Oxford
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Relativity and gravitational theory (mathematics) ; black holes ; higher dimensions ; twistor theory ; ernst potential ; penrose ward transform ; reduced twistor space ; myers perry black hole ; black ring ; conical singularity