The black holes in supergravity and superstring theories / Donam Youm.
- Format:
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- Author/Creator:
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- Language:
- English
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- Physical Description:
- x, 231 pages ; 29 cm
- Production:
- 1996.
- Summary:
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- This thesis utilizes solution generating technique to construct general class of solutions in the (effective) supergravity theories. Such transformations are recently conjectured duality symmetries of string theories. The starting point is the "generating solution", and by imposing a subset of duality transformations, which do not change the (Einstein-frame) metric, one generates the most general class of solutions in the class. To construct the "generating solution", one either directly solve the Killing spinor equations (for the BPS solutions) or in general one imposes symmetry transformations of the lower dimensional action.
- Using such solution generating technique, we construct general class of static, spherically symmetric solutions in Kaluza-Klein theories, and all the stationary solutions in heterotic string on a tori in dimensions 4 $\le\ D \le$ 9 (for the four-dimensional rotating black hole solutions, one more parameter is missing to describe most general solutions). Also, we construct dyonic black hole solutions in the eleven-dimensional supergravity on a six torus which, when transformed into the solutions of type-IIA string, carries all the possible NS-NS and/or RR charges.
- We classify all the possible thermal properties and singularity structures of such solutions. Since the duality transformations (which act on the generating solutions) leave the Einstein frame metric intact, all the possible space-time properties of the most general solutions are determined by few parameters of the generating solutions. We also find the most general expressions for entropy of stationary black holes in heterotic string. For the BPS saturated black holes, such expressions turn out to be independent of the asymptotic values of scalar fields, as is expected from the statistical physics argument. We also make comments on D-brane interpretation of entropy of black hole solution that we constructed. We also propose to replace the evaluation of the entropy of purely electrically charged, BPS saturated black holes at stretched horizon with evaluation of the entropy of nearly extreme solutions.
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- Supervisor: Mirjam Cvetic.
- Thesis (Ph.D. in Physics and Astronomy) -- University of Pennsylvania, 1996.
- Includes bibliographical references.
- Local Notes:
- University Microfilms order no.: 97-13030.
- OCLC:
- 187469511
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