Year: 2025
Type: article
Abstract: We consider general initial data for the Einstein scalar-field system on a closed 3-manifold (M, γ ) which is close to data for a Friedman-Lemaître-Robertson-Walker solution with homogeneous scalar field matter and a negative Einstein metric γ as spatial geometry.We prove that the maximal globally hyperbolic development of such initial data in the Einstein scalar-field system is past incomplete in the contracting direction and exhibits stable collapse into a big bang curvature singularity.Under an additional condition on the first positive eigenvalue ofγ satisfied, for example, by closed hyperbolic 3-manifolds of small diameter, we prove that the data evolves to a future complete spacetime in the expanding direction which asymptotes to a vacuum Friedman solution with (M, γ ) as the expansion normalized spatial geometry.In particular, the strong cosmic censorship conjecture holds for this class of solutions in the C 2 -sense.
Source: Analysis & PDE
Authors: David Fajman, Liam Urban
Institution: University of Vienna
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4411260654