Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions
High Energy Physics - Theory
2008-11-26 v3 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.hep-th/0602116,
title = {Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions},
author = {Stoytcho S. Yazadjiev},
journal= {arXiv preprint arXiv:hep-th/0602116},
year = {2008}
}
Comments
LaTex, 13 pages; v2 some typos corrected, references added;v3 more typos corrected, more references added, some explanations expanded, PRD