Electromagnetic fields in space-times with local rotational symmetry

Abstract

The Debye-potential formalism is applied to perfect-fluid space-times with local rotational symmetry which form a subclass of the generalized Goldberg-Sachs space-times. A decoupled equation for the potentials is obtained. It is seen that this equation yields a considerable amount of information in its general form without specializing to any example of the subclass. Finally some particular space-times, namely, Kantowski-Sachs universes, Taub space, and anisotropic spatially homogeneous cosmological models, are discussed in detail.