Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.598390
Title: Hidden symmetries of higher dimensional black holes
Author: Davis, P.
Awarding Body: University of Cambridge
Current Institution: University of Cambridge
Date of Award: 2007
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Abstract:
This thesis is concerned with symmetries of higher dimensional black holes beyond the usual isometries of the spacetime. Such symmetries give rise to extra constants of the motion that allow the geodesic and Klein-Gordon equations to be separated. We show that the singly charged, five-dimensional Kerr-AdS black hole of minimal gauged supergravity with arbitrary rotating parameters admits separable solutions to the Hamilton-Jacobi and Klein-Gordon equations. This is due to the existence of an irreducible rank-2 Killing tensor which we find. We also show that the Dirac equation separates in the case where the rotation parameters are equal, and we also examine the near horizon geometry of the supersymmetric limit of this black hole, showing that the symmetry algebra takes the expected form. By considering multiply charged, rotating black hole solutions to gauged and ungauged supergravity in 4, 5 and 7 dimensions, we find that, in general, the Hamilton-Jacobi and Klein-Gordon equations can only be separated in the case where the particle under consideration is massless. In this case, we find conformal Killing tensors which obey an equation involving a co-vector field. We find this co-vector field in several cases and use it to conjecture its general form. We prove this conjecture under reasonable assumptions. We also prove that cohomeneity-2 Kerr-AdS black holes generalised to include a NUT-like parameter admit separable solutions to the Hamilton-Jacobi and Klein-Gordon equations in all dimensions, by finding the Killing tensors and examining the symmetry algebra.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.598390  DOI: Not available
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