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Title: Supergravity black holes
Author: Chow, D. D. K.
Awarding Body: University of Cambridge
Current Institution: University of Cambridge
Date of Award: 2009
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We study charged rotating black hole solutions of various supergravity theories, both ungauged and gauged, focusing on spacetime dimensions D = 4,5,6,7. These solutions may carry several independent angular momenta and U(1) charges, the precise number depending on the theory. We find asymptotically anti-de Sitter black holes in six-and seven-dimensional gauged supergravity. The six-dimensional solution has two independent angular momenta and one U(1) charge from an SU(2) gauge group. The seven-dimensional solution has three independent angular momenta and two equal U(1) charges from an SO(5) gauge group. We study the thermodynamics of the solutions. These solutions include supersymmetric solutions, amongst which are supersymmetric black holes without naked closed timelike curves. We study the hidden symmetries of the metrics involved. To further illustrate the context of these symmetries, we construct a higher-dimensional charged Kerr solution with NUT parameters. In all cases, we find Killing-Stäckel tensors for a conformally related Jordan-frame metric. These satisfy the conditions for a separability structure and induce conformal Killing-Stäckel tensors for the Einstein-frame metric. We directly verify the separation of the null Hamilton-Jacobi and massless Klein-Gordon equations for some of these solutions.  Simple choices of vielbeins are seen to correspond to eigenforms of privileged Killing-Stäckel tensors of the conformally related metric.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available