EinsteinMaxwell Fields Generated from the γMetric and Their Limits
Abstract
Two solutions of the coupled EinsteinMaxwell field equations are found by means of the HorskýMitskievitch generating conjecture. The vacuum limit of those obtained classes of spacetimes is the seed 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 calculation through the Ernst potentials. The existence of circular geodesics is briefly discussed in the Appendix.
 Publication:

Czechoslovak Journal of Physics
 Pub Date:
 September 2002
 DOI:
 10.1023/A:1020581415399
 arXiv:
 arXiv:grqc/0209094
 Bibcode:
 2002CzJPh..52.1021R
 Keywords:

 exact solutions of EinsteinMaxwell fields  charged gamma metric  Ernst potential;
 General Relativity and Quantum Cosmology
 EPrint:
 20 pages, LaTeX2e, 8 epsfigures. to be published in Czech. J. Phys