Separability of massive field equations for spin0 and spin1/2 charged particles in the general nonextremal rotating charged black hole spacetimes in minimal fivedimensional gauged supergravity
Abstract
We continue to investigate the separability of massive field equations for spin0 and spin1/2 charged particles in the general, nonextremal, rotating, charged, ChongCveticLuePope black holes with two independent angular momenta and a nonzero cosmological constant in minimal D=5 gauged supergravity theory. We show that the complex KleinGordon equation and the modified Dirac equation with the inclusion of an extra counterterm can be separated by variables into purely radial and purely angular parts in this general EinsteinMaxwellChernSimons background spacetime. A secondorder symmetry operator that commutes with the complex Laplacian operator is constructed from the separated solutions and expressed compactly in terms of a rank2 StaeckelKilling tensor which admits a simple diagonal form in the chosen pentad oneforms so that it can be understood as the square of a rank3 totally antisymmetric tensor. A firstorder symmetry operator that commutes with the modified Dirac operator is expressed in terms of a rank3 generalized KillingYano tensor and its covariant derivative. The Hodge dual of this generalized KillingYano tensor is a generalized principal conformal KillingYano tensor of rank2, which can generate a 'tower' of generalized (conformal) KillingYano and StaeckelKilling tensors that are responsible for the whole hidden symmetries of this general, rotating, charged, Kerrantide Sittermore »
 Authors:

 College of Physical Science and Technology, Central China Normal University, Wuhan, Hubei 430079 (China)
 Publication Date:
 OSTI Identifier:
 21325353
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 80; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.80.084009; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; BLACK HOLES; CHARGED PARTICLES; COMPUTERIZED SIMULATION; COSMOLOGICAL CONSTANT; DIRAC EQUATION; DIRAC OPERATORS; EINSTEINMAXWELL EQUATIONS; KERR FIELD; KLEINGORDON EQUATION; LAPLACIAN; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SPACETIME; SPIN; SUPERGRAVITY; SYMMETRY
Citation Formats
Shuangqing, Wu. Separability of massive field equations for spin0 and spin1/2 charged particles in the general nonextremal rotating charged black hole spacetimes in minimal fivedimensional gauged supergravity. United States: N. p., 2009.
Web. doi:10.1103/PHYSREVD.80.084009.
Shuangqing, Wu. Separability of massive field equations for spin0 and spin1/2 charged particles in the general nonextremal rotating charged black hole spacetimes in minimal fivedimensional gauged supergravity. United States. https://doi.org/10.1103/PHYSREVD.80.084009
Shuangqing, Wu. Thu .
"Separability of massive field equations for spin0 and spin1/2 charged particles in the general nonextremal rotating charged black hole spacetimes in minimal fivedimensional gauged supergravity". United States. https://doi.org/10.1103/PHYSREVD.80.084009.
@article{osti_21325353,
title = {Separability of massive field equations for spin0 and spin1/2 charged particles in the general nonextremal rotating charged black hole spacetimes in minimal fivedimensional gauged supergravity},
author = {Shuangqing, Wu},
abstractNote = {We continue to investigate the separability of massive field equations for spin0 and spin1/2 charged particles in the general, nonextremal, rotating, charged, ChongCveticLuePope black holes with two independent angular momenta and a nonzero cosmological constant in minimal D=5 gauged supergravity theory. We show that the complex KleinGordon equation and the modified Dirac equation with the inclusion of an extra counterterm can be separated by variables into purely radial and purely angular parts in this general EinsteinMaxwellChernSimons background spacetime. A secondorder symmetry operator that commutes with the complex Laplacian operator is constructed from the separated solutions and expressed compactly in terms of a rank2 StaeckelKilling tensor which admits a simple diagonal form in the chosen pentad oneforms so that it can be understood as the square of a rank3 totally antisymmetric tensor. A firstorder symmetry operator that commutes with the modified Dirac operator is expressed in terms of a rank3 generalized KillingYano tensor and its covariant derivative. The Hodge dual of this generalized KillingYano tensor is a generalized principal conformal KillingYano tensor of rank2, which can generate a 'tower' of generalized (conformal) KillingYano and StaeckelKilling tensors that are responsible for the whole hidden symmetries of this general, rotating, charged, Kerrantide Sitter black hole geometry. In addition, the first laws of black hole thermodynamics have been generalized to the case that the cosmological constant can be viewed as a thermodynamical variable.},
doi = {10.1103/PHYSREVD.80.084009},
url = {https://www.osti.gov/biblio/21325353},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 8,
volume = 80,
place = {United States},
year = {2009},
month = {10}
}