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Study on complementarity of black holes with exotic singularities

목차

I Introduction 1
II Review of Black Hole Complementarity 7
A The Page Curve 7
B Recovery of Quantum Information and Scrambling Time 12
C The Stretched Horizon and Black Hole Complementarity 17
D The Thought Experiment Involving Black Hole Complementarity 21
a The Page time 22
b The scrambling time 23
III Two-Dimensional Anti-de Sitter Black Hole 25
A Introduction 25
B Two-Dimensional Anti-de Sitter Black Hole 26
C Complementarity of Two-Dimensional Anti-de Sitter Black Hole 30
a Page time 30
b Scrambling time 33
D Result 36
IV Asymptotically Flat Accelerating Black Hole 39
A Introduction 39
B C-metric 42
C Quasi-Local Charge for the Asymptotically Flat Accelerating Black Hole 46
D Complementarity in the Asymptotically Flat Accelerating Black Hole 50
a Thought experiment based on the Page time 51
b Thought experiment based on the scrambling time 54
E Result 55
V Asymptotically Anti-de Sitter Accelerating Black Hole 58
A Introduction 58
B C-metric 60
C Quasi-Local Charge for the Asymptotically Anti-de Sitter Accelerating Black Hole 64
D Result 67
VI Conclusion 70
References 82

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