Year: 2024
Type: preprint
Abstract: We provide a generalization of global hyperbolicity in pseudo-Riemannian spaces of signature (p, q) for p ___ q ___ 2. We then prove the compactness of causal diamonds in globally hyperbolic spaces and deduce the existence of solutions to a Plateau problem for this class of spaces. Finally, caracterize GH-regular representations in SO(p,q+1) as holonomies of some globally hyperbolic spaces modeled on H^{p,q}.
Source: arXiv (Cornell University)
Author: Troubat, Roméo
Institution: Institut de Recherche Mathématique Avancée
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404850251