Higher-Dimensional Gravitational Objects with External Fields

• Author / Creator

  Abdolrahimi, Shohreh

• 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).

• Subjects / Keywords

  • External Fields
  • Gravitational Objects
  • 5-Dimensional Vacuum Black Holes
  • Distortion
  • Naked Singularity of the Fisher Solution

• Graduation date

  Fall 2010

• Type of Item

  Thesis

• Degree

  Doctor of Philosophy

• DOI

  https://doi.org/10.7939/R3WG61

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.