Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal"

Details Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal" Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal"

2006-11-26

arxiv.org/abs/gr-qc/0611138v1

Class.Quant.Grav. 24 (2007) 745-750

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures, latex. This paper includes the results concerning global hyperbolicity in previous gr-qc/0610136 (which w

Scientific paper

10.1088/0264-9381/24/3/N01

The classical definition of {\em global hyperbolicity} for a spacetime $(M,g)$ comprises two conditions: (A) compactness of the diamonds $J^+(p)\cap J^-(q)$, and (B) strong causality. Here we show that condition (B) can be replaced just by causality. In fact, we show first that the classical definition of causal simplicity (which impose to be distinguishing, apart from the closedness of $J^+(p)$, $J^-(q)$) can be weakened in causal instead of distinguishing. So, the full consistency of the causal ladder (recently proved by the authors in a definitive way) yields directly the result.

Affiliated with

Also associated with

No associations

Rating

Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal" 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 Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal", we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal" will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-576704