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High Energy Physics - Theory, hep-th
Abstract:
We systematically calculate the quantum extremal surface (QES) associated
with Hawking radiation for general $D$-dimensional ($D\geq2$) asymptotically
flat (or AdS) eternal black holes using the island formula. {We collect the
Hawking radiation particles by a non-gravitational bath and} find that a QES
exists in the near-horizon region outside the black hole when $c\cdot G_{(D)}$
is smaller enough where $c$ is the central charge of the conformal matter and
$G_{(D)}$ the {$D$-dimensional} Newton constant. The locations of the QES in
these backgrounds are obtained and the late-time radiation entropy saturates
the two times of black hole entropy. Finally, we numerically check that the no
island configuration exists once $c\cdot G_{(D)}$ exceeds a certain upper bound
in two-dimensional generalized dilaton theories (GDT).
