Separation of Dirac equation in the 3+1 dimensional constant curvature black hole background and its solution

Details Separation of Dirac equation in the 3+1 dimensional constant curvature black hole background and its solution Separation of Dirac equation in the 3+1 dimensional constant curvature black hole background and its solution

2008-01-25

arxiv.org/abs/0801.3879v1

Class.Quant.Grav.25:065006,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 latex pages; accepted for publication in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/25/6/065006

The behavior of spin-half particles is discussed in the 3 + 1-dimensional constant curvature black hole (CCBH) spacetime. We use Schwarzschild-like coordinates, valid outside the black hole event horizon. The constant time surfaces corresponding to the time-like Killing vector are degenerate at the black hole event horizon and also along an axis. We write down the Dirac equation in this spacetime using Newman-Penrose formalism which is not easily separable unlike that in the Kerr metric. However, with a particular choice of basis system the equation is separable and we obtain the solutions. We discuss the structural difference in the Dirac equation in the CCBH spacetime with that in the Kerr geometry, due to difference in the corresponding spacetime metric, resulting complexity arised in separation in the earlier case.

Affiliated with

Also associated with

No associations

Rating

Separation of Dirac equation in the 3+1 dimensional constant curvature black hole background and its solution 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 Separation of Dirac equation in the 3+1 dimensional constant curvature black hole background and its solution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separation of Dirac equation in the 3+1 dimensional constant curvature black hole background and its solution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-412226