𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Pseudoconvexity in Lorentzian doubly warped products

✍ Scribed by Dean Allison

Publisher
Springer
Year
1991
Tongue
English
Weight
207 KB
Volume
39
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis

A Lorentzian manifold M is said to be null (resp. causally) pseudoconvex if, given any compact set K in M, there exists a compact set K' in M such that any null (resp. causal) geodesic segment with both endpoints in K lies in K'. Various implications of causal and null pseudoconvexity on the geodesic structure of a Lorentzian manifold have been studied in several recent papers by Beem and Parker, Beem and Ehrlich, and Low. We provide sufficient conditions for a Lorentzian doubly warped product manifold to be null pseudoconvex. These conditions are not necessary and provide new examples of non-globally hyperbolic spacetimes which are null pseudoconvex.

πŸ“œ SIMILAR VOLUMES

Doubly warped products
Doubly warped products
✍ BΓΌlent Ünal πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 86 KB

In this paper we study geodesic completeness of Riemannian doubly warped products and Lorentzian doubly warped products. We give necessary conditions for generalized Robertson-Walker spacetimes with doubly warped product spacial parts to be globally hyperbolic. We also state some results about Killi