Solutions Of Einstein-Maxwell Field Equations Research Articles

Solutions of Einstein-Maxwell field equations for a static charged perfect fluid shphere

The object of this paper is to give a new mathematical and physical method of finding explicit analytical interior solutions of the Einstein-Maxwell field equations of a static perfect fluid sphere with charge.

Kerr — Newman metric in cosmological background

A new solution of Einstein-Maxwell field equations is presented. The material content of the field described by this solution is a perfect fluid plus sourceless electromagnetic fields. The metric of the solution is explicitly written. This metric is examined as a possible representation of Kerr-Newman metric embedded in Einstein static universe. The Kerr-Newman metric in the background of Robertson-Walker universe is also briefly described.

On static axiality symmetric electrovac universes

In this paper we consider an axially symmetric metric and obtain some exact static solutions of Einstein-Maxwell field equations in vacuo. In two cases the metric represents uniform electromagnetic field.

Charged Tomimatsu-Sato metrics

We show that the solutions of Einstein-Maxwell field equations can be constructed from the Tomimatsu-Sato solutions of Einstein's field equations for empty space simply by inspection when δ has integral values.