Family Of Spacetimes Research Articles

Conserved quantities for stationary Einstein-Maxwell space-times

We show that every stationary Einstein-Maxwell space-time has eight divergence-free vector fields and we isolate these in general form. The vector fields and associated conserved quantities are calculated for several families of space-times.

A class of algebraically general solutions of the Einstein-Maxwell equations for non-null electromagnetic fields. II

In a previous article the Einstein-Maxwell field equations for non-null electromagnetic fields were studied under the conditions that the null tetrad is parallel-propagated along both principal null congruences. A solution with twist and shear, but no expansion, was found and was conjectured to be the only expansion-free solution. Here it is shown that this conjecture is false; the general expansion-free solution is found to be a family of space-times depending on a single constant parameter which is the ratio of the (constant) twists of the two principal null congruences.

Horizons in weyl metrics exhibiting extra symmetries

Static, axisymmetric, vacuum metrics (commonly called Weyl metrics) are classified according to the homothetic motions they admit, with all having more than two homothetic motions explicitly computed. Within the two new families of spacetimes so determined, none of the metrics is asymptotically flat. Although most of the horizons are unlike that of the Schwarzschild metric, it is shown that they nonetheless all fall within a classification scheme previously developed for two-dimensional static metrics. TheC — metric and the question of directional singularities are also briefly considered.