On sliced spaces: Global Hyperbolicity revisited

Abstract

We give a topological condition for a generic sliced space to be globally hyperbolic, without any hypothesis on the lapse function, shift function and spatial metric.

References in corpus (3)

• Global Hyperbolicity and Completeness
• Globally hyperbolic spacetimes can be defined without the 'causal' condition
• Global Hyperbolicity of Sliced Spaces

Cited by in corpus (5)

• Self-Adjointness in Klein-Gordon Theory on Globally Hyperbolic Spacetimes
• Stationary Spacetimes and Self-Adjointness in Klein-Gordon Theory
• On Global Hyperbolicity of Spacetimes: Topology Meets Functional Analysis
• On the Causal and Topological Structure of the $2$-Dimensional Minkowski Space
• On null geodesically complete spacetimes uder NEC and NGC; is the Gao-Wald "time dilation" a topological effect?