Null cut loci of spacelike surfaces.

Details Null cut loci of spacelike surfaces. Null cut loci of spacelike surfaces.

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20..415k&link_type=abstract

General Relativity and Gravitation, Volume 20, Issue 5, pp.415-425

Computer Science

1

Gravitation Theory:Space-Time

Scientific paper

The null cut locus of a spacelike submanifold of codimension 2 in a space-time is defined. In globally hyperbolic space-times, it is shown that the future (past) null cut locusc {n/+}(H) [c{n/-}(H)] of a compact, acausal, spacelike submanifoldH of codimension 2 is a closed subset of the space-time, and each pointx∈ c {n/+} (H) is either a focal point ofH along some future-directed null geodesic meetingH orthogonally or there exist at least two null geodesics fromH tox, realizing the distance betweenH andx or both. Also, it can be shown that the assumptions of the Penrose's singularity theorem for open globally hyperbolic space-times may be weakened to the space-times which are conformal to an open subset of an open globally hyperbolic space-time.

Affiliated with

Also associated with

No associations

Rating

Null cut loci of spacelike surfaces. 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 Null cut loci of spacelike surfaces., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Null cut loci of spacelike surfaces. will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-854726