Twisting Null Geodesic Congruences, Scri, H-Space and Spin-Angular Momentum

Details Twisting Null Geodesic Congruences, Scri, H-Space and Spin-Angular Momentum Twisting Null Geodesic Congruences, Scri, H-Space and Spin-Angular Momentum

2005-06-07

arxiv.org/abs/gr-qc/0506046v2

Class.Quant.Grav. 22 (2005) 4679-4698

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, authors were relisted alphabetically

Scientific paper

10.1088/0264-9381/22/22/003

The purpose of this work is to return, with a new observation and rather unconventional point of view, to the study of asymptotically flat solutions of Einstein equations. The essential observation is that from a given asymptotically flat space-time with a given Bondi shear, one can find (by integrating a partial differential equation) a class of asymptotically shear-free (but, in general, twistiing) null geodesic congruences. The class is uniquely given up to the arbitrary choice of a complex analytic world-line in a four-parameter complex space. Surprisingly this parameter space turns out to be the H-space that is associated with the real physical space-time under consideration. The main development in this work is the demonstration of how this complex world-line can be made both unique and also given a physical meaning. More specifically by forcing or requiring a certain term in the asymptotic Weyl tensor to vanish, the world-line is uniquely determined and becomes (by several arguments) identified as the `complex center-of-mass'. Roughly, its imaginary part becomes identified with the intrinsic spin-angular momentum while the real part yields the orbital angular momentum.

Affiliated with

Also associated with

No associations

Rating

Twisting Null Geodesic Congruences, Scri, H-Space and Spin-Angular Momentum 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 Twisting Null Geodesic Congruences, Scri, H-Space and Spin-Angular Momentum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisting Null Geodesic Congruences, Scri, H-Space and Spin-Angular Momentum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-535214