Separability of a modified Dirac equation in a five-dimensional rotating, charged black hole in string theory
- College of Physical Science and Technology, Central China Normal University, Wuhan, Hubei 430079 (China)
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 cannot 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 Staeckel-Killing tensor admitted by the five-dimensional rotating, charged black hole spacetime.
- OSTI ID:
- 21322496
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevD.80.044037; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BLACK HOLES
DIRAC EQUATION
DIRAC OPERATORS
FOUR-DIMENSIONAL CALCULATIONS
KERR FIELD
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
MAXWELL EQUATIONS
PARTICLES
QUANTUM FIELD THEORY
SPACE-TIME
SPIN
SPINOR FIELDS
STRING MODELS
STRING THEORY
SYMMETRY
U-1 GROUPS