arXiv subjects

I. G. Contopoulos

Publications and source records attributed to I. G. Contopoulos.

2 recordsLinked to original sources

arXiv2015

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 potentials is introduced, in which, the set of potentials associated to an original (seed) solution of the E-M equations are transformed to a new set, either by continuous transformations or by discrete transformations. In this article, continuous transformations are considered. Accordingly, originating from the so-called $γ_A$-metric, other exact solutions to the E-M equations are recovered and discussed.

gr-qc↗

arXiv2015

Generating Solutions to the Einstein Field Equations

Exact solutions to the Einstein field equations may be generated from already existing ones (seed solutions), that admit at least one Killing vector. In this framework, a space of potentials is introduced. By the use of symmetries in this space, the set of potentials associated to a known solution are transformed into a new set, either by continuous transformations or by discrete transformations. In view of this method, and upon consideration of continuous transformations, we arrive at some exact, stationary axisymmetric solutions to the Einstein field equations in vacuum, that may be of geometrical or/and physical interest.

gr-qc↗