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Affine collineations in Einstein-Maxwell space-times
Authors:J Carot  L Mas  H Rago  J da Costa
Institution:(1) Facultat de Ciències, Departament de Física, Universitat de les Illes Baleares, E-07071 Palma de Mallorca, Spain;(2) Centro de Matemática, Universidade do Minho, 4719 Braga Codex, Portugal
Abstract:The existence of an affine vector field in an Einstein-Maxwell space-time is discussed. We first consider the non-null electromagnetic field case, and show that there are no solutions of the Einstein-Maxwell equations admitting a proper affine collineation. In the case of a null electromagnetic field case, we characterize all the possible solutions with such property.On leave from Universidad de Los Andes, Facultad de Ciencias, Departamento de Física, Mérida 5101, Venezuela
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