Entanglement entropy of Primordial Black Holes after inflation
General Relativity and Quantum Cosmology
2020-02-13 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
In this paper we study the survival of entanglement of a scalar field state created during inflation. We find that there exist UV-finite subdominant contributions to the entanglement entropy per momentum mode that scale with the number of e-folds between horizon exit and the end of inflation, and depend on the logarithm of the radius of the entangling surface, which can be taken to be the horizon sphere. We argue that this entanglement entropy allows for the formation of entangled Primordial Black Holes (PBH). We find that the entropy arising from the entanglement between PBH is small compared with their Bekenstein entropy.
Keywords
Cite
@article{arxiv.1907.07601,
title = {Entanglement entropy of Primordial Black Holes after inflation},
author = {Llorenç Espinosa-Portalés and Juan García-Bellido},
journal= {arXiv preprint arXiv:1907.07601},
year = {2020}
}
Comments
13 pages. Typos corrected; references, extra section and comments added. Matches version published in PRD