On the integrability of spherical gravitational waves in vacuum

Details On the integrability of spherical gravitational waves in vacuum On the integrability of spherical gravitational waves in vacuum

2005-04-26

arxiv.org/abs/gr-qc/0504130v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

The general class of Robinson-Trautman metrics that describe gravitational radiation in the exterior of bounded sources in four space-time dimensions is shown to admit zero curvature formulation in terms of appropriately chosen two-dimensional gauge connections. The result, which is valid for either type II or III metrics, implies that the gravitational analogue of the Lienard-Wiechert fields of Maxwell equations form a new integrable sector of Einstein equations for any value of the cosmological constant. The method of investigation is similar to that used for integrating the Ricci flow in two dimensions. The zero modes of the gauge symmetry (factored by the center) generate Kac's K_2 simple Lie algebra with infinite growth.

Affiliated with

Also associated with

No associations

Rating

On the integrability of spherical gravitational waves in vacuum 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 On the integrability of spherical gravitational waves in vacuum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the integrability of spherical gravitational waves in vacuum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-199357