Einstein-Maxwell Fields Generated from the γ-Metric and Their Limits

@article{Richterek2002EinsteinMaxwellFG,
  title={Einstein-Maxwell Fields Generated from the $\gamma$-Metric and Their Limits},
  author={Luk{\'a}{\vs} Richterek and Jan Novotn{\'y} and Jan Horsky},
  journal={Czechoslovak Journal of Physics},
  year={2002},
  volume={52},
  pages={1021-1040}
}
Two solutions of the coupled Einstein-Maxwell field equations are found by means of the Horský-Mitskievitch generating conjecture. The vacuum limit of those obtained classes of spacetimes is the seed γ-metric and each of the generated solutions is connected with one Killing vector of the seed spacetime. Some of the limiting cases of our solutions are identified with already known metrics, the relations among various limits are illustrated through a limiting diagram. We also verify our… 
Generating solutions to the Einstein–Maxwell equations
The Einstein–Maxwell (E–M) equations in a curved spacetime that admits at least one Killing vector are derived, from a Lagrangian density adapted to symmetries. In this context, an auxiliary space of
On the force caused by a null Einstein-Maxwell field with the plane symmetry
The article shows that a large flat platform with a constant current, which flows over its surface, accelerates time. It is also shown that if an alternating current flows along the surface of a flat
Higher dimensional Taub-NUT spaces and applications
In the first part of this thesis we discuss classes of new exact NUT-charged solutions in four dimensions and higher, while in the remainder of the thesis we make a study of their properties and
Generating Solutions to the Einstein Field Equations
The Einstein-Maxwell (E-M) equations in a curved spacetime that admits at least one Killing vector are derived, from a Lagrangian density adapted to symmetries. In this context, an auxiliary space of
Weyl metrics and the generating conjecture
By means of the Ernst complex potential formalism it is shown that previously studied static axially symmetric Einstein-Maxwell fields obtained though the application of the Horský-Mitskievitch

References

SHOWING 1-10 OF 24 REFERENCES
New Einstein-Maxwell fields of Levi-Civita’s type
The method based on the Horský-Mitskievitch conjecture is applied to the Levi-Civita vacuum metric. It is shown, that every Killing vector is connected with a particular class of Einstein-Maxwell
Relativistic disks as sources of static vacuum spacetimes.
TLDR
It is shown that most vacuum Weyl solutions can arise as the metrics of counter-rotating relativistic disks and how the Curzon, Schwarzschild, Zipoy-Vorhees, and Israel-Kahn metrics can be generated by the disks.
Exact Solutions of Einstein's Field Equations
We examine various well known exact solutions available in the literature to investigate the recent criterion obtained in Negi and Durgapal [Gravitation and Cosmology7, 37 (2001)] which should be
SUPERPOSITION OF WEYL SOLUTIONS : THE EQUILIBRIUM FORCES
Solutions to the Einstein equations that represent the superposition of static isolated bodies with axial symmetry are presented. The equations' nonlinearity yields singular structures (strut and
Rotating coordinates as tools for calculating circular geodesics and gyroscopic precession
If an axially symmetric stationary metric is given in standard form (i.e. in coordinates adapted to the symmetries) the transformationφ→φ′ =φ-ωt (ω=constant) of the azimuthal angle leads to another
Measuring multipole moments of Weyl metrics by means of gyroscopes
Using the technique of Rindler and Perlick we calculate the total precession per revolution of a gyroscope circumventing the source of Weyl metrics. We establish thereby a link between the multipole
and N
  • O. Santos: J. Math. Phys. 40
  • 1999
Bonnor: Wissenschaft
  • Z. der Friedrich-Schiller Universität Jena
  • 1990
Gen. Rel. Grav
  • Gen. Rel. Grav
  • 1992
...
...