Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions

Journal Article · Mon May 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.104007· OSTI ID:20774692

Yazadjiev, Stoytcho S ^[1]

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1. Department of Theoretical Physics, Faculty of Physics, Sofia University, 5 James Bourchier Boulevard, Sofia 1164 (Bulgaria)

We consider 5D Einstein-Maxwell (EM) gravity in spacetimes with three commuting Killing vectors: one timelike and two spacelike Killing vectors one of them being hypersurface orthogonal. Assuming a special ansatz for the Maxwell field we show that the 2-dimensional reduced EM equations are completely integrable by deriving a Lax-pair presentation. We also develop a solution generating method for explicit construction of exact EM solutions with considered symmetries. We also derive explicitly a new rotating six parametric 5D EM solution which includes the dipole black ring solution as a particular case.

• OSTI ID: 20774692
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 10; Other Information: DOI: 10.1103/PhysRevD.73.104007; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COSMOLOGY
DIPOLES
EINSTEIN-MAXWELL EQUATIONS
GRAVITATION
MATHEMATICAL SOLUTIONS
SPACE-TIME
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
VECTORS