Ricci Fall-off in Static, Globally Hyperbolic, Non-singular Spacetimes

Details Ricci Fall-off in Static, Globally Hyperbolic, Non-singular Spacetimes Ricci Fall-off in Static, Globally Hyperbolic, Non-singular Spacetimes

1995-11-17

arxiv.org/abs/gr-qc/9511050v1

Class.Quant.Grav. 14 (1997) 139-151

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, amstex, no figures

Scientific paper

10.1088/0264-9381/14/1/015

What restrictions are there on a spacetime for which the Ricci curvature is such as to produce convergence of geodesics (such as the preconditions for the Singularity Theorems) but for which there are no singularities? We answer this question for a restricted class of spacetimes: static, geodesically complete, and globally hyperbolic. The answer is that, in at least one spacelike direction, the Ricci curvature must fall off at a rate inversely quadratic in a naturally-occurring Riemannian metric on the space of static observers. Along the way, we establish some global results on the static observer space, regarding its completeness and its behavior with respect to universal covering spaces.

Affiliated with

Also associated with

No associations

Rating

Ricci Fall-off in Static, Globally Hyperbolic, Non-singular 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 Ricci Fall-off in Static, Globally Hyperbolic, Non-singular Spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ricci Fall-off in Static, Globally Hyperbolic, Non-singular Spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-129187