The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry

Details The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry

2000-05-19

arxiv.org/abs/gr-qc/0005088v4

Adv.Theor.Math.Phys.7:25-52,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, small improvements

Scientific paper

We consider the Cauchy problem for the massive Dirac equation in the non-extreme Kerr-Newman geometry outside the event horizon. We derive an integral representation for the Dirac propagator involving the solutions of the ODEs which arise in Chandrasekhar's separation of variables. It is proved that for initial data in L^\infty_loc near the event horizon with L^2 decay at infinity, the probability of the Dirac particle to be in any compact region of space tends to zero as t goes to infinity. This means that the Dirac particle must either disappear in the black hole or escape to infinity.

Affiliated with

Also associated with

No associations

Rating

The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry 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 Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black Hole Geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-617174