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Higher-Dimensional Gravitational Objects with External Fields Open Access


Other title
5-Dimensional Vacuum Black Holes
External Fields
Naked Singularity of the Fisher Solution
Gravitational Objects
Type of item
Degree grantor
University of Alberta
Author or creator
Abdolrahimi, Shohreh
Supervisor and department
Don N. Page (Physics Department)
Examining committee member and department
Sharon Morsink (Physics Department)
Dimitri Pogosyan (Physics Department)
Kayll Lake (Physics, Queens University)
Valeri P. Frolov (Physics Department)
Eric Woolgar (Mathematics)
Department of Physics

Date accepted
Graduation date
Doctor of Philosophy
Degree level
This thesis summarizes a study of higher-dimensional distorted objects such as a distorted 5-dimensional Schwarzschild-Tangherlini black hole. It considers a particular type of distortion corresponding to an external, static distribution of matter and fields around this object. The corresponding spacetime can be presented in the generalized Weyl form which has an RxU(1)xU(1) group of isometries. This is a natural generalization of the 4-dimensional Weyl form which was presented in the paper by Emparan and Reall [1]. In the frame of this generalized Weyl form one can derive an exact analytic solution to the Einstein equations which describes the non-linear interaction of the black hole with external matter and gravitational fields. This research focuses on the effects of such interaction on the event horizon and the interior of the black hole. A similar study was presented in the papers [2] for 4-dimensional neutral black holes, where special duality relations between a neutral black hole horizon and singularity were derived. In relation to this work it is interesting to study which properties of distorted black holes remain present in the 5-dimensional case. This thesis also gives an investigation of the d-dimensional Fisher solution which represents a static, spherically symmetric, asymptotically flat spacetime with a massless scalar field. This solution has a naked singularity. It is shown that the d-dimensional Schwarzschild-Tangherlini solution and the Fisher solution are dual to each other. [1] R. Emparan and H. S. Reall, Phys. Rev. D, 65, 084025 (2002). [2] V. P. Frolov and A. A. Shoom, Phys. Rev. D, 76, 064037 (2007).
License granted by Shohreh Abdolrahimi ( on 2010-09-30T16:57:22Z (GMT): Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of the above terms. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as herein provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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