Approaching a spacetime singularity in conformal gravity
General Relativity and Quantum Cosmology
2019-06-24 v1 High Energy Physics - Theory
Abstract
We hereby show that the Kasner spacetime turns out to be singularity-free in Einstein's conformal gravity in vacuum or in presence of matter. Such a statement is based on the regularity of the curvature invariants and on the geodesic completion of the spacetime when it is probed by massive, massless, and conformally coupled particles. As a universal feature of the regular metric, nothing can reach the singularity located in t=0 in a finite amount of proper time (for massive particles and conformally coupled particles) or for finite values of the affine parameter (for massless particles).
Cite
@article{arxiv.1906.09043,
title = {Approaching a spacetime singularity in conformal gravity},
author = {Leonardo Modesto and Hui-Yu Zhu and Jun-Yan Zhang},
journal= {arXiv preprint arXiv:1906.09043},
year = {2019}
}
Comments
12 pages, 2 figures