Linking and causality in (2+1)-dimensional static spacetimes

Details Linking and causality in (2+1)-dimensional static spacetimes Linking and causality in (2+1)-dimensional static spacetimes

2001-08-24

arxiv.org/abs/gr-qc/0108061v2

Class.Quant.Grav. 19 (2002) 3115-3126

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 3 figures; typos corrected, 2 figures added

Scientific paper

10.1088/0264-9381/19/12/301

Given a (d+1)-dimensional spacetime (M,g), one can consider the set N of all its null geodesics. If (M,g) is globally hyperbolic then this set is naturally a smooth (2d-1)-manifold. The sky of an event x in M is the set X of all null geodesics through x, and is an embedded submanifold of N diffeomorphic to S^{d-1}. Low conjectured that if d=2 then x,y are causally related in M iff X,Y are linked in N. We prove Low's conjecture for a (large) class of static spacetimes.

Affiliated with

Also associated with

No associations

Rating

Linking and causality in (2+1)-dimensional static 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 Linking and causality in (2+1)-dimensional static spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linking and causality in (2+1)-dimensional static spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-200284