Vacuum type N space-times admitting homothetic vector fields with isolated fixed points

Details Vacuum type N space-times admitting homothetic vector fields with isolated fixed points Vacuum type N space-times admitting homothetic vector fields with isolated fixed points

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24..745d&link_type=abstract

General Relativity and Gravitation, Volume 24, Issue 7, pp.745-755

Physics

Scientific paper

We consider vacuum space-times (M, g) which are of Petrov type N on an open dense subset ofM, and which admit (proper) homothetic vector fields with isolated fixed points. We prove that if such is the case then, at the fixed point, (M,g) is flat and the homothetic bivector,X [a;b] , is necessarily simple-timelike. Furthermore, we prove that if the homothetic bivector remains simple-timelike in some neighbourhood of the fixed point then, around the fixed point, the space-time in question is a pp-wave. The paper ends with a local characterization and some examples of space-tunes satisfying these conditions.

Affiliated with

Also associated with

No associations

Rating

Vacuum type N space-times admitting homothetic vector fields with isolated fixed points 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 Vacuum type N space-times admitting homothetic vector fields with isolated fixed points, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vacuum type N space-times admitting homothetic vector fields with isolated fixed points will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1206538