Chiang-Mei Chen, Sang Pyo Kim, I-Chieh Lin, Jia-Rui Sun, Ming-Fan Wu
We investigate the spontaneous pair production, including the Schwinger
mechanism and the Hawking thermal radiation, of charged scalar particles from
the near horizon region of a (near) extremal Reissner-Nordstr\"om black hole.
The paradigm is equivalent to the dynamics of the charged scalar field in a
specific AdS$_2 \times S^2$ spacetime with a constant electric field. Two
possible boundary conditions are adopted to explicitly compute the
corresponding production rate and absorption cross section. It is shown that
the Schwinger production rate can be eventually suppressed by the increasing
attractive gravitational force as the geometry changes from the extremal to the
near extremal black hole. Consequently, the Schwinger mechanism and the Hawking
radiation are generically indistinguishable for the near extremal black holes.
The holographic description dual to the pair production is also briefly
discussed.
View original:
http://arxiv.org/abs/1202.3224
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