On the causal properties of warped product spacetimes

Details On the causal properties of warped product spacetimes On the causal properties of warped product spacetimes

2006-12-28

arxiv.org/abs/gr-qc/0612182v2

Class.Quant.Grav.24:4457-4474,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 2 figures, uses the package psfrag

Scientific paper

10.1088/0264-9381/24/17/012

It is shown that the warped product spacetime P=M *_f H, where H is a complete Riemannian manifold, and the original spacetime M share necessarily the same causality properties, the only exceptions being the properties of causal continuity and causal simplicity which present some subtleties. For instance, it is shown that if diamH=+\infty, the direct product spacetime P=M*H is causally simple if and only if (M,g) is causally simple, the Lorentzian distance on M is continuous and any two causally related events at finite distance are connected by a maximizing geodesic. Similar conditions are found for the causal continuity property. Some new results concerning the behavior of the Lorentzian distance on distinguishing, causally continuous, and causally simple spacetimes are obtained. Finally, a formula which gives the Lorentzian distance on the direct product in terms of the distances on the two factors (M,g) and (H,h) is obtained.

Affiliated with

Also associated with

No associations

Rating

On the causal properties of warped product spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the causal properties of warped product spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the causal properties of warped product spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-382711