Separability of a modified Dirac equation in a five-dimensional rotating, charged black hole in string theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

20 pages, accompanied paper to arXiv:0807.2114 [hep-th] and arXiv:0808.3435 [hep-th]. Published version

Scientific paper

The aim of this paper is to investigate the separability of a spin-1/2 spinor field in a five-dimensional rotating, charged black hole constructed by Cvetic and Youm in string theory, in the case when three U(1) charges are set equal. This black hole solution represents a natural generalization of the famous four-dimensional Kerr-Newman solution to five dimensions with the inclusion of a Chern-Simons term to the Maxwell equation. It is shown that the usual Dirac equation can not be separated by variables in this general spacetime with two independent angular momenta. However if one supplements an additional counterterm into the usual Dirac operator, then the modified Dirac equation for the spin-1/2 spinor particles is separable in this rotating, charged Einstein-Maxwell-Chern-Simons black hole background geometry. A first-order symmetry operator that commutes with the modified Dirac operator has exactly the same form as that previously found in the uncharged Myers-Perry black hole case. It is expressed in terms of a rank-three totally antisymmetric tensor and its covariant derivative. This tensor obeys a generalized Killing-Yano equation and its square is a second-order symmetric Stackel-Killing tensor admitted by the five-dimensional rotating, charged black hole spacetime.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Separability of a modified Dirac equation in a five-dimensional rotating, charged black hole in string theory 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 a modified Dirac equation in a five-dimensional rotating, charged black hole in string theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separability of a modified Dirac equation in a five-dimensional rotating, charged black hole in string theory will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-310400

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.