Hawking Effect of AdS2 Black Holes in the Jackiw-Teitelboim Model

It might be tempting to consider that the two-dimensional anti-de Sitter black hole in the Jackiw-Teitelboim model is thermally hot by invoking the non-vanishing surface gravity, which raises a natural 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, one might expect that the local temperature would also be blue-shifted near the horizon while it would vanish at infinity because of the Tolman factor in the local temperature. In this paper, the local temperature will be shown to vanish and to respect the equivalence principle everywhere as long as a consistent Stefan-Boltzmann law is required. The essential reason for the vanishing local temperature will be discussed on various grounds.