Principal equatorial null geodesic congruences in the Kerr metric, and their quantum propagators
General Relativity and Quantum Cosmology
2024-03-06 v1
Abstract
Using the Raychaudhuri equation, we associate quantum probability amplitudes (propagators) to equatorial principal ingoing and outgoing null geodesic congruences in the Kerr metric. The expansion scalars diverge at the ring singularity; however, the propagators remain finite, which is an indication that at the quantum level singularities might disappear or, at least, become softened.
Keywords
Cite
@article{arxiv.2403.02351,
title = {Principal equatorial null geodesic congruences in the Kerr metric, and their quantum propagators},
author = {Josué G. Mateos Trujillo and Miguel Socolovsky},
journal= {arXiv preprint arXiv:2403.02351},
year = {2024}
}
Comments
8 pages, 2 figures