General Relativity with Local Space-time Defects
Abstract
General relativity is incomplete because it cannot describe quantum effects of space-time. The complete theory of quantum gravity is not yet known and to date no observational evidence exists that space-time is quantized. However, in most approaches to quantum gravity the space-time manifold of general relativity is only an effective limit that, among other things like higher curvature terms, should receive corrections stemming from space-time defects. We here develop a modification of general relativity that describes local space-time defects and solve the Friedmann equations. From this, we obtain the time-dependence of the density of defects. It turns out that the defects' density dilutes quickly, somewhat faster even than radiation.
Cite
@article{arxiv.1709.02657,
title = {General Relativity with Local Space-time Defects},
author = {Sabine Hossenfelder and Ricardo Gallego Torromé},
journal= {arXiv preprint arXiv:1709.02657},
year = {2018}
}
Comments
15 pages, 2 figures, replaced with published version