Quantum dust collapse with cosmological constant and methods for constructing conformal diagrams
Phys. Rev. D 112, 026005 – Published 2 July, 2025
DOI: https://doi.org/10.1103/tt4w-vx12
Abstract
The loop quantum gravitational collapse of a dust ball in the presence of positive cosmological constant is investigated within the Oppenheimer-Snyder collapse scenario. The dust ball interior is described within the framework of loop quantum cosmology, while its exterior geometry is determined by the differentiability of the spacetime metric at the dust ball surface and the assumption of the (vacuum) exterior to be stationary. In order to determine the global causal structure of the investigated spacetime a robust (numerical) method of constructing Penrose-Carter diagrams is built. Unfortunately, the presence of a cosmological constant does not cure the problems already present in the case of it vanishing; the exterior geometry resembles that of the Reissner-Nordström-de Sitter black hole, in particular featuring timelike singularties.
