Total angular momentum from Dirac eigenspinors

Details Total angular momentum from Dirac eigenspinors Total angular momentum from Dirac eigenspinors

2007-09-07

arxiv.org/abs/0709.1072v2

Class.Quant.Grav.25:025007,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, typos corrected, four references added, appearing in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/25/2/025007

The eigenvalue problem for Dirac operators, constructed from two connections on the spinor bundle over closed spacelike 2-surfaces, is investigated. A class of divergence free vector fields, built from the eigenspinors, are found, which, for the lowest eigenvalue, reproduce the rotation Killing vectors of metric spheres, and provide rotation BMS vector fields at future null infinity. This makes it possible to introduce a well defined, gauge invariant spatial angular momentum at null infinity, which reduces to the standard expression in stationary spacetimes. The general formula for the angular momentum flux carried away be the gravitational radiation is also derived.

Affiliated with

Also associated with

No associations

Rating

Total angular momentum from Dirac eigenspinors 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 Total angular momentum from Dirac eigenspinors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Total angular momentum from Dirac eigenspinors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-467415