Global hyperbolicity meets order completeness
E. Minguzzi
Abstract
Recently, an order completeness property has attracted attention in some low regularity spacetime geometry literature, where it was named `chronocompleteness'. In this work we prove that, in the framework of standard Lorentzian geometry, this property is equivalent to global hyperbolicity. The equivalence of global hyperbolicity with other more traditional forms of order completeness is also established.
Create a lesson
Related papers
Symmetry-Driven k-Essence Cosmological Dynamics
Andrés Lueiza-Colipí, Nikolaos Dimakis, Genly Leon et al.
Black Hole Shadow and Light Deflection in Generalized Heisenberg-Euler Nonlinear Electrodynamics
Beyhan Puliçe, Ali Övgün, Yosef Verbin
Shadow and Polarized Images of Schwarzschild-MOG Black Hole Illuminated by Thick Accretion Disk
Cheng Hu, Huan Ye, Hong Lei et al.
Second-order slow rotation of wormholes in Einstein-scalar-Gauss-Bonnet gravity
Sardor Murodov, Bekzod Rahmatov, Javlon Rayimbaev et al.
Causal structure and optical signatures of rotating power law Kalb-Ramond geometry
Hassan Hassanabadi, Orlando Luongo
Searching for gravitational wave echo with group equivariant neural posterior estimation
Jian-Wei Luo, Yun-Song Piao