AdS Black Hole Evaporation Modeling with Emphasis on Partial-Dimensional Reduction

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Doostaninejad, Moein | 2024

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 57921 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Faraji Astaneh, Amin
Abstract:
As a contribution to the subject of the information loss paradox in (1+1)-dimensional gravitational systems, we studied the evaporation of (1+1)-dimensional black holes in AdS gravity from a (3+1)-dimensional point of view. A partial dimensional reduction of Einstein-Hilbert action with a negative cosmological constant in four dimensions led to a black hole in AdS2 gravity. This method allowed us to effectively split the (3+1)-dimensional spacetime into a (1+1)-dimensional black hole and a remainder, which could be interpreted as a ‘bath’. We computed the ﬁne-grained entropy of the radiation using geodesic lengths in the (3+1)-dimensional spacetime. We then focus on the ﬁnite temperature case and described the dynamics by introducing time-dependence into the parameter controlling the reduction. Finally, studying the entropy of the radiation over time led to a geometric representation of the Page curve. The appearance of the island region is explained in a natural and intuitive fashion. Actually, we could reproduce the Page curve simply from the Rye-Takayanagi prescription, without making use of the island formula
Keywords:
Information Paradox ; AdS/CFT Conjecture ; Page Curve ; Anti deSitter (AdS)Space ; Partial Dimensional Reduction ; Two Dimensional Gravity ; Anti deSitter (AdS)Black Hole

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