On the invariance transformations of the energy-momentum tensor in the Einstein-Maxwell theory

Details On the invariance transformations of the energy-momentum tensor in the Einstein-Maxwell theory On the invariance transformations of the energy-momentum tensor in the Einstein-Maxwell theory

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jpha...10.2107w&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 10, Dec. 1977, p. 2107-2114.

Mathematics

1

Conformal Mapping, Electromagnetic Fields, Invariance, Space-Time Functions, Transformations (Mathematics), Einstein Equations, Maxwell Equation, Tensors

Scientific paper

A homothetic conformal transformation of the metric tensor is both necessary and sufficient to ensure that a source-free non-null electromagnetic field in four dimensions undergoes a duality rotation leaving its energy-momentum tensor invariant. For null electromagnetic fields the condition is sufficient but not necessary. The result suggests that vacuum Einstein-Maxwell space-times exist which admit groups of homothetic motions. If the order of such a group is greater than unity it must be associated with isometry transformations of the metric tensor other than those obtained as a special case of the conformal group.

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