Interior of the Horizon of BTZ Black Hole
High Energy Physics - Theory
2020-11-06 v3
Abstract
A quantum scalar field inside the horizon of a non-rotating BTZ black hole is studied. Not only the near-horizon modes but also the normal modes deep inside the horizon are obtained. It is shown that the matching condition for the normal modes of a scalar field at the horizon does not uniquely determine the normal-mode expansion of a scalar field inside the horizon. By choosing a certain appropriate prescription for removing this ambiguity an integral form of a new scalar propagator for points on both sides of the horizon are obtained. A similar problem may arise in higher-dimensional black holes.
Keywords
Cite
@article{arxiv.2008.02618,
title = {Interior of the Horizon of BTZ Black Hole},
author = {Ryuichi Nakayama and Kenji Shiohara},
journal= {arXiv preprint arXiv:2008.02618},
year = {2020}
}
Comments
47 pages, 4 figures