English

Islands in the Stream of Hawking Radiation

High Energy Physics - Theory 2021-11-24 v3 General Relativity and Quantum Cosmology

Abstract

We consider the island formula for the entropy of subsets of the Hawking radiation in the adiabatic limit where the evaporation is very slow. We find a simple concrete `on-shell' formula for the generalized entropy which involves the image of the island out in the stream of radiation, the `island in the stream'. The resulting recipe for the entropy allows us to calculate the quantum information properties of the radiation and verify various constraints including the Araki-Lieb inequality and strong subadditivity.

Keywords

Cite

@article{arxiv.2104.00052,
  title  = {Islands in the Stream of Hawking Radiation},
  author = {Timothy J. Hollowood and S. Prem Kumar and Andrea Legramandi and Neil Talwar},
  journal= {arXiv preprint arXiv:2104.00052},
  year   = {2021}
}

Comments

added clarifications and some minor corrections