Hawking Effect of AdS$_2$ Black Holes in the Jackiw-Teitelboim Model
J. Korean Phys. Soc. 2019; 75: 430~435
Published online September 30, 2019 © 2019 The Korean Physical Society.


Department of Physics, Sogang University, Seoul 04107, Korea
Correspondence to: Wontae Kim
Abstract
Conventionally, the two-dimensional anti-de Sitter black hole in the Jackiw-Teitelboim model has been shown to be thermally hot; however, it raises a question of "where is the observer to measure the temperature?", asymptotically at infinity or in a finite region outside the horizon? In connection with this issue, the new local temperature is shown to vanish and to respect the equivalence principle everywhere as long as a consistent Stefan-Boltzmann law is required. Consequently, it turns out that the two-dimensional anti-de Sitter black hole must be cold.
PACS numbers: 04.70.Dy, 04.62.+v, 04.60.Kz
Keywords: Hawking temperature, Stefan-Boltzmann law, Tolman temperature, Hartle-Hawking vacuum, Unruh vacuum


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