Extremal Black Holes and Decoupled Dynamics of Horizon<br/>

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Extremal Black Holes and Decoupled Dynamics of Horizon

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Type of Document: Ph.D. Dissertation
Language: Farsi
Document No: 39243 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Arfaei, Hessamaddin
Abstract:
We study a speci?c class of black holes which are called extremal. By de?ning extremality asdouble-horizon condition and imposing ?niteness assumption, we show that the dynamics of ?eldsat the horizon decouples from the rest of space. This decoupling occurs by vanishing all radialderivatives. We show this decoupling for the extremal black holes in the theories of gravity correctedby f(R)terms.We also show that these two above conditions leads to AdS × S1 near horizon geometry2of rotating black holes. This geometry which preserve SO(2, 1) × U(1) isometry group, is recentlyused in improving the entropy function method. Finally we show that decoupled equations of horizon can be derived from a 2D gravity.The 4D black holes are mapped to the AdS solutions of this new 2D gravity. If we can apply2AdS /CFT correspondence correctly, then it is possible to ?nd a method of counting for the2 1microstates of black hole in the context of 1D conformal ?led theory
Keywords:
String Theory ; Black Holles ; Consistency ; Extremality ; Double Horizon

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