Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-14
Phys.Rev.D78:064052,2008
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, no figure, revtex4.cls. Typos removed. PRD published version
Scientific paper
10.1103/PhysRevD.78.064052
The Dirac equation for the electron around a five-dimensional rotating black hole with two different angular momenta is separated into purely radial and purely angular equations. The general solution is expressed as a superposition of solutions derived from these two decoupled ordinary differential equations. By separating variables for the massive Klein-Gordon equation in the same space-time background, I derive a simple and elegant form for the Stackel-Killing tensor, which can be easily written as the square of a rank-three Killing-Yano tensor. I have also explicitly constructed a symmetry operator that commutes with the scalar Laplacian by using the Stackel-Killing tensor, and the one with the Dirac operator by the Killing-Yano tensor admitted by the five-dimensional Myers-Perry metric, respectively.
No associations
LandOfFree
Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor 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 Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-443098