Weyl metrics and the generating conjecture
arXiv:gr-qc/0408049 · doi:10.1007/s10582-004-1202-0
Abstract
By means of Ernst complex potential formalism it is shown, that previously studied static axisymmetric Einstein-Maxwell fields obtained though the application of the Horsky-Mitskievitch generating conjecture represent a combination of Kinnersley's transformations [W. Kinnersley: J. Math. Phys. 14 (1973) 651]. New theoretical background for the conjecture is suggested and commented.
10 pages, to appear in Czech.J. Phys
References in corpus (10)
- Selected solutions of Einstein's field equations: their role in general relativity and astrophysics
- Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation
- Einstein-Maxwell fields generated from the gamma-metric and their limits
- New Einstein-Maxwell fields of Levi-Civita's type
- Determining parameters of the Neugebauer family of vacuum spacetimes in terms of data specified on the symmetry axis
- Towards gravitating discs around stationary black holes
- Cylindrically symmetric perfect-fluid universes
- Consequences of a Killing symmetry in spacetime's local structure
- Superposition of a static perfect fluid and a radial elecric field
- Generating conjecture and Einstein-Maxwell field of plane symmetry