Electromagnetic field in the Majorana–Oppenheimer formalism in the anti de Sitter Universe

Exact solutions with spherical symmetry of the Maxwell equations in the oscillating anti de Sitter Universe are constructed. 3-Dimensional complex formalism by Majorana–Oppenheimer, generalized to pseudo-Riemannian space-time models in accordance with the tetrad method, is applied. The established dependence of the constructed solutions on the time variable leads to independence of the Pointing vector on time. This means that the change in time of the anti de Sitter geometry cannot be seen by measuring the energy flow density.