This dissertation covers two di erent but related topics: the construction of new
black hole solutions and the study of the microscopic origin of black hole entropy.
In the solution part, two di erent sets of new solutions are found. The rst
concerns a Plebanski-Demianski type solution in the ve-dimensional pure Einstein
gravity, and the second concerns a three-charge (two of which equal) two-rotation
solution to the ve-dimensional maximal supergravity. Obtaining new and interesting
black hole solutions is an important and challenging task in studying general relativity
and its extensions. During the past decade, the solutions become even more important
because they might nd applications in the study of the gauge/gravity duality, which
is currently in the central stage of the quantum gravity research.
The Kerr/CFT correspondence is a recently propose example of the gauge/gravity
duality. In the entropy part, we explicitly show that the Kerr/CFT correspondence
can be applied to all known extremal stationary and axisymmetric black holes. We
improve over previous works in showing that this can be done in a general fashion,
rather than testing di erent solutions case by case. This e ort makes it obvious that
the common structure of the near horizon metric for all known extremal stationary
and axisymmetric black holes is playing a key role in the success of the Kerr/CFT
correspondence. The discussion is made possible by the identi cation of two general
ans atze that cover all such known solutions.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/ETD-TAMU-2010-08-8278 |
| Date | 2010 August 1900 |
| Creators | Mei, Jianwei |
| Contributors | Pope, Christopher N. |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Dissertation, text |
| Format | application/pdf |
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