Consequences of a minimal length in a pseudo-complex extension of General Relativity
General Relativity and Quantum Cosmology
2022-09-07 v1
Abstract
The effects of a minimal length are investigated within an algebraically extended theory of General Relativity (GR). Former attempts, to include a minimal length in GR are first resumed, with a conformal factor of the metric as a consequence. Effective potentials for various black hole masses (as ratios to the minimal length) are deduced. It is found that the existence of a minimal length has, for a small mass black hole, important effects on the effective potential near the event horizon, creating barriers which inhibit that particles can pass the event horizon. Further, a new limit for the minimal mass of a black hole is derive
Keywords
Cite
@article{arxiv.2204.03509,
title = {Consequences of a minimal length in a pseudo-complex extension of General Relativity},
author = {Leila Maghlaoui and Peter O. Hess},
journal= {arXiv preprint arXiv:2204.03509},
year = {2022}
}
Comments
23 pages, 11 figures