Curvature collineations in certain gravitational space-times

Details Curvature collineations in certain gravitational space-times Curvature collineations in certain gravitational space-times

Aug 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975gregr...6..397s&link_type=abstract

General Relativity and Gravitation, Volume 6, Issue 4, pp.397-408

Other

2

Scientific paper

It has been shown that the space-times formed from the product of two surfaces and from a thick gravitational plane wave sandwiched between two flat spacetimes admit proper curvature collineation in general. The curvature collineation vectors have been determined explicitly. For the space-time formed from the product of two surfaces conditions are obtained for it to admit motion. It has also been pointed out that the spacetime formed from a thick plane gravitational wave belongs to the class (IIIb) of pure gravitational radiation and admits five- and six-parameter groups of motion in the two possible cases. Conservation laws given by Sachs and Katzin-Levine-Davis in terms of curvature collineation vectors are satisfied identically in the case of the plane gravitational wave solution, and Sachs' conservation law can be deduced in this case as a consequence of the theorem given by Katzin and others.

Affiliated with

Also associated with

No associations

Rating

Curvature collineations in certain gravitational space-times 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 Curvature collineations in certain gravitational space-times, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature collineations in certain gravitational space-times will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1538292