Page curve of effective Hawking radiation

We study the generalized entanglement entropy in the higher-dimensional two-sided eternal black hole by double holography. By introducing an end of the world ETW brane, which defines the time-dependent effective Hawking radiation region, we find a new type of Ryu-Takayanagi surface besides the Hartman-Maldacena surface and the island Ryu-Takayanagi surface known previously. We study the phase transition among the three Ryu-Takayanagi surfaces at different temperatures and obtain the phase diagram as well as the Page curve.

Automated summary

In this study, the generalized entanglement entropy in the higher-dimensional two-sided eternal black hole is investigated using double holography. By introducing an end of the world ETW brane, a new type of Ryu-Takayanagi surface is discovered alongside the previously known Hartman-Maldacena surface and the island Ryu-Takayanagi surface. The phase transition among the three Ryu-Takayanagi surfaces at different temperatures is explored and the phase diagram as well as the Page curve are obtained.