Spacelike energy of timelike unit vector fields on a Lorentzian manifold

Details Spacelike energy of timelike unit vector fields on a Lorentzian manifold Spacelike energy of timelike unit vector fields on a Lorentzian manifold

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004jgp....51...82g&link_type=abstract

Journal of Geometry and Physics, Volume 51, Issue 1, p. 82-100.

Physics

3

Energy, Reference Frame, Projective Reference Frame, Comoving Observer, Hopf Vector Fields, Robertson-Walker Space-Time, Gödel Universe, Berger'S Spheres, Einstein Manifolds, Sasakian Manifolds

Scientific paper

On a Lorentzian manifold, we define a new functional on the space of unit timelike vector fields given by the L2 norm of the restriction of the covariant derivative of the vector field to its orthogonal complement. This spacelike energy is related with the energy of the vector field as a map on the tangent bundle endowed with the Kaluza-Klein metric, but it is more adapted to the situation. We compute the first and second variation of the functional and we exhibit several examples of critical points on cosmological models as generalized Robertson-Walker spaces and Gödel universe, on Einstein and contact manifolds and on Lorentzian Berger's spheres. For these critical points we have also studied to what extent they are stable or even absolute minimizers.

Affiliated with

Also associated with

No associations

Rating

Spacelike energy of timelike unit vector fields on a Lorentzian manifold 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 Spacelike energy of timelike unit vector fields on a Lorentzian manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spacelike energy of timelike unit vector fields on a Lorentzian manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1060185