Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models
General Relativity and Quantum Cosmology
2020-02-06 v2 High Energy Physics - Theory
Abstract
A Kantowski-Sachs model with a modified quantization prescription is considered. Such quantization rules, inspired by the so-called Generalized Uncertainty Principle (GUP), correspond to a modified commutation relation between minisuperspace variables and their conjugate momenta. For a wide range of the modification parameter, this approach differentiates from the standard results by the presence of a potential well in the corresponding Wheeler-DeWitt equation. This then produces the appearance of a set of wave functions, with corresponding discrete energy spectrum.
Cite
@article{arxiv.1904.06343,
title = {Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models},
author = {Pasquale Bosso and Octavio Obregón},
journal= {arXiv preprint arXiv:1904.06343},
year = {2020}
}
Comments
7 pages, 5 figures