Regularized big bang singularity: Geodesic congruences
arXiv:2109.04229 · doi:10.1103/PhysRevD.104.084093
Abstract
We investigate a particular regularization of big bang singularity, which remains within the domain of 4-dimensional general relativity but allowing for degenerate metrics. We study the geodesics and geodesic congruences in the modified Friedmann-Lemaître-Robertson-Walker universe. In particular, we calculate the expansion of timelike and null geodesic congruences. Based on these results, we also briefly discuss the cosmological singularity theorems.
16 pages, 1 figure, published version