Page Curve of Effective Hawking Radiation
High Energy Physics - Theory
2022-10-06 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2111.14551,
title = {Page Curve of Effective Hawking Radiation},
author = {Chia-Jui Chou and Hans B. Lao and Yi Yang},
journal= {arXiv preprint arXiv:2111.14551},
year = {2022}
}
Comments
Definitions and descriptions were clarified in sections 2.4 and 3.2, modified some diagrams and added more for clarification, added more detailed calculations in section 3.2, corrected some minor typos