Uniqueness theorem for charged dipole rings in five-dimensional minimal supergravity

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.084037· OSTI ID:21409612

Tomizawa, Shinya; Ishibashi, Akihiro ^[1]; Yasui, Yukinori ^[2]

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1. KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, Tsukuba, Ibaraki, 305-0801 (Japan)
2. Department of Mathematics and Physics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi, Osaka 558-8585 (Japan)

We show a uniqueness theorem for charged dipole rotating black rings in the bosonic sector of five-dimensional minimal supergravity, generalizing our previous work [arXiv:0901.4724] on the uniqueness of charged rotating black holes with topologically spherical horizon in the same theory. More precisely, assuming the existence of two commuting axial Killing vector fields and the same rod structure as the known solutions, we prove that an asymptotically flat, stationary charged rotating black hole with nondegenerate connected event horizon of cross-section topology S{sup 1}xS{sup 2} in the five-dimensional Einstein-Maxwell-Chern-Simons theory - if exists - is characterized by the mass, charge, two independent angular momenta, dipole charge, and the ratio of the S{sup 2} radius to the S{sup 1} radius. As anticipated, the necessity of specifying dipole charge - which is not a conserved charge - is the new, distinguished ingredient that highlights difference between the present theorem and the corresponding theorem for vacuum case, as well as difference from the case of topologically spherical horizon within the same minimal supergravity. We also consider a similar boundary value problem for other topologically nontrivial black holes within the same theory, and in particular, discuss some nontrivial issues that arise when attempting to generalize the present uniqueness results to include black lenses--provided there exists such a solution in the theory.

• OSTI ID: 21409612
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 8; Other Information: DOI: 10.1103/PhysRevD.81.084037; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BLACK HOLES
BOUNDARY-VALUE PROBLEMS
CROSS SECTIONS
DIPOLES
EINSTEIN-MAXWELL EQUATIONS
MANY-DIMENSIONAL CALCULATIONS
MASS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SPHERICAL CONFIGURATION
SUPERGRAVITY
VECTOR FIELDS
CONFIGURATION
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
MULTIPOLES
UNIFIED-FIELD THEORIES