The geodesic spray, the vertical projection, and Raychaudhuri's equation.

Details The geodesic spray, the vertical projection, and Raychaudhuri's equation. The geodesic spray, the vertical projection, and Raychaudhuri's equation.

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..675c&link_type=abstract

General Relativity and Gravitation, Volume 16, Issue 7, pp.675-689

Computer Science

4

Relativity Theory

Scientific paper

The metric connection on a space-time manifoldM defines on its tangent bundleTM a distribution of subspaces complementary to the vertical subspaces and therefore called horizontal. We give a formula for the Lie derivative with respect to the geodesic spray of the tensor field onTM which defines projection onto the vertical subspace along the horizontal subspace; and we show that this formula is a universal version of the equation, for a geodesic local vector field onM, whose trace is Raychaudhuri's equation.

Affiliated with

Also associated with

No associations

Rating

The geodesic spray, the vertical projection, and Raychaudhuri's equation. 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 The geodesic spray, the vertical projection, and Raychaudhuri's equation., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The geodesic spray, the vertical projection, and Raychaudhuri's equation. will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1706467