Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
General Relativity and Quantum Cosmology
2021-04-28 v3
Abstract
We derive loop quantum gravity corrections to the Raychaudhuri equation in the interior of a Schwarzschild black hole and near the classical singularity. We show that the resulting effective equation implies defocusing of geodesics due to the appearance of repulsive terms. This prevents the formation of conjugate points, renders the singularity theorems inapplicable, and leads to the resolution of the singularity for this spacetime.
Cite
@article{arxiv.2011.11815,
title = {Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity},
author = {Keagan Blanchette and Saurya Das and Samantha Hergott and Saeed Rastgoo},
journal= {arXiv preprint arXiv:2011.11815},
year = {2021}
}
Comments
28 pages, 10 figures, v2: additional citations added, v3: figure 5 added, few modifications to the text and stronger defocusing results presented