Minimal Length in quantum gravity and gravitational measurements
Abstract
The existence of a minimal length is a common prediction of various theories of quantum gravity. This minimal length leads to a modification of the Heisenberg uncertainty principle to a Generalized Uncertainty Principle (GUP). Various studies showed that a GUP modifies the Hawking radiation of black holes. In this paper, we propose a modification of the Schwarzschild metric based on the modified Hawking temperature derived from the GUP. Based on this modified metric, we calculate corrections to the deflection of light, time delay of light, perihelion precession, and gravitational redshift. We compare our results with gravitational measurements to set an upper bound on the GUP parameter.
Keywords
Cite
@article{arxiv.1510.06365,
title = {Minimal Length in quantum gravity and gravitational measurements},
author = {Ahmed Farag Ali and Mohammed M. Khalil and Elias C. Vagenas},
journal= {arXiv preprint arXiv:1510.06365},
year = {2015}
}
Comments
v1: 7 pages, LaTeX, no figure, to appear in EPL; v2: typos corrected, a comment was made and a reference was added